Research Interests
Research interest:
1. Group Theory: Representation Theory, Character Theory, Length Functions.
2. Ring Theory: Commutativity of Rings, Rings with Involutions, Derivations, Semi-prime Rings, s-Unital Rings, Near-rings, Semi-rings, semi-near rings.
3. Module Theory: Static Modules, Category of Modules.
4. Algebraic Structures :BCK-Algebra, BCI-Algebras, Lattice Theory, Boolean Algebras.
5. Topology: Generalization of Continuity.
6. Set Theory.
7. Algebraic Topology and geometry.
Professor Hamza Ali S. Abujabal Publications
1) Abujabal, Hamza A. S., and Zaidi, S. M. A., On characterization of reflection and coreflection in categories, Proyecciones Journal of Mathematics, 18(2) (1999), 175-182.
2) Abujabal, Hamza A. S., Commutativity of rings via Streb's classification, Southeast Asian Bulletin of Mathematics, 22(1) (1998), 1-10.
3) Abujabal, Hamza A. S., A relative one-point union of BCK-algebras, Mathematica Japonica, 45(1) (1997), 103-111.
4) Abujabal, Hamza A. S., On ![]()
-radical in BCI-algebrasII, Proyecciones. Journal of Mathematics, 16(1) (1997), 37-47.
5) Abujabal, Hamza A. S.,On ![]()
-radical in BCI-algebras I, Pure Mathematics and Applications, 7(12) (1996), 13-24.
6) Abujabal, Hamza A. S., and El-Borai, Mahmoud M., An abstract Dirichlet problem in the Hilbert space, The Korean Journal of Computational & Applied Mathematics. An International Journal, 4(1) (1997), 109-116.
7) Abujabal, Hamza A. S., and El-Borai, Mahmoud M. On the Cauchy problem for some abstract nonlinear differential equations, The Korean Journal of Computational & Applied Mathematics. An International Journal, 3(2) (1996), 279-290.
8) Meng, Ji., and Abujabal, Hamza A. S., On closed ideals in BCI-algebras, Mathematica Japonica, 44(3) (1996), 499-505.
9) Abujabal, Hamza A. S., and Peric, Veseli. Commutativity results for rings with certain constraints on commutators, Proyecciones. Journal of Mathematics, 14(1) (1995), 27-42.
10) Abujabal, Hamza A. S., Commutativity for a certain class of rings, Georgian Mathematical Journal, 3(1) (1996), 1-10.
11) Abujabal, Hamza A. S., Commutativity results for rings through Streb's classification, Mathematica Pannonica, 5(2) (1994), 203-212.
12) Abujabal, Hamza A. S., Some commutativity results for one-sided ![]()
unital rings, Bulletin de la Societe Mathematique de Belgique, Serie B, 43(2) (1991), 123-133.
13) Abujabal, Hamza A. S., and Peric, Veseli, Commutativity theorem for $s$-unital rings, Mathematica Pannonica, 4(2) (1993), 181-190.
14) Abujabal, Hamza A. S., Commutativity of rings with constraints involving a subset, Atti del Seminario Matematico e Fisico dell'Universita di Modena, 41(1) (1993), 121-129.
15) Abujabal, Hamza A. S., Two commutativity results for rings, Mathematica Japonica, 38(2) (1993), 297-299.
16) Abujabal, Hamza A. S., On commutativity of left ![]()
unital rings, Acta Universitatis Szegediensis. Acta Scientiarum Mathematicarum, 56(12) (1992), 51-62.
17) Abujabal, Hamza A. S., On the characters of an extension of ![]()
groups, Journal of the Nigerian Mathematical Society, 10 (1991), 39-53.
18) Abujabal, Hamza A. S., and Peric, Veseli, Commutativity theorems for ![]()
unital rings with constraints on commutators, Results in Mathematics. Resultate der Mathematik. 21(34) (1992), 256-263.
19) Abujabal, Hamza A. S., Commutativity theorems for rings with constraints on commutators, International Journal of Mathematics and Mathematical Sciences, 14(4) (1991), 683-688.
20) Abujabal, Hamza A. S., Some commutativity results for rings, Beitrage zur Algebra und Geometrie, (32) (1991), 141-151.
21) Abujabal, Hamza A. S., A generalization of some commutativity theorems for rings, II, Rivista di Matematica della Universita di Parma, Serie IV, 16(12) (1990), 131-140 (1991).
22) Abujabal, Hamza A. S., and Peric, Veseli, Commutativity of ![]()
unital rings through a Streb result, Radovi Matematicki, 7(1) (1991), 73-92.
23) Abujabal, Hamza A. S., Commutativity of one sided ![]()
unital rings, Results in Mathematics, Resultate der Mathematik, 18(34) (1990), 189-196.
24) Abujabal, Hamza A. S., and Meng, Ji., On ![]()
ideals and positive implicative ideals in BCI-algebras, Proyecciones. Journal of Mathematics, 18(2) (1999), 195-205.
25) Abujabal, Hamza A. S., Some commutativity properties for rings with unity, Turkish Journal of Mathematics, 21(4) (1997), 431-435.
26) Abujabal, Hamza A. S., On derivation of semiprime rings, Istanbul Universitesi. Fen Fakultesi. Matematik Dergisi. University of Istanbul. Faculty of Science. The Journal of Mathematics, 54 (1995), 57-60 (1997).
27) Abujabal, Hamza A. S., Commutativity and decomposition for near rings, Tamkang Journal of Mathematics, 28(2) (1997), 119-125.
28) Abujabal, Hamza A. S., Two commutativity results for rings, Bulletin of Pure & Applied Sciences, Section E. Mathematics and Statistics, 15(1) (1996), 109-112.
29) Abujabal, Hamza A. S., and Zaidi, S. M. A., On characterization of reflection and coreflection in categories, Qufu Shifan Daxue Xuebao, Ziran Kexue Ban. Journal of Qufu Normal University, Natural Science Edition, 22(3) (1996), 1-6.
30) Abujabal, Hamza A. S., Commutativity results for rings through Streb's classification, Panamerican Mathematical Journal, 4(4) (1994), 77-84.
31) Abujabal, Hamza A. S., Some commutativity properties for rings, Zbornik Radova Prirodno-Matematichkog Fakulteta, Serija za Matematiku. Review of Research. Faculty of Science. Mathematics Series, 22(2) (1992), 163-175.
32) Abujabal, Hamza A. S., Commutativity of rings with some constraints on a subset, Zbornik Radova Prirodno-Matematichkog Fakulteta. Serija za Matematiku. Review of Research. Faculty of Science, Mathematics Series, 22(2) (1992), 151-161.
33) Abujabal, Hamza A. S., Commutativity conditions for semi-prime rings, Istanbul Universitesi. Fen Fakultesi. Matematik Dergisi. University of Istanbul. Faculty of Science. The Journal of Mathematics, 50 (1991), 129-133 (1993).
34) Abujabal, Hamza A. S., Commutativity conditions for semi-prime rings, Vikram Mathematical Journal, 10 (1990), 39-43.
35) Abujabal, Hamza A. S., An extension of some commutativity results for rings, Panamerican Mathematical Journal. 3(4) (1993), 73-77.
36) Abujabal, Hamza A. S., Commutativity conditions for rings, Soochow Journal of Mathematics, 18(2) (1992), 169-182.
37) Abujabal, Hamza A. S., and Obaid, Mustafa A., Some commutativity theorems for right ![]()
unital rings. Mathematica Japonica, 37(3) (1992), 591-600.
38) Abujabal, Hamza A. S., Commutativity with polynomial constraints, Panamerican Mathematical Journal, 2(2) (1992), 49-58.
39) Abujabal, Hamza A. S., Commutativity of rings with constraints involving a subset, Panamerican Mathematical Journal, 2(1) (1992), 39-48.
40) Abujabal, Hamza A. S., Commutativity of rings under certain conditions, Pure Mathematics and Applications, Series A., 2(12) (1991), 3-13.
41) Abujabal, Hamza A. S., Commutativity conditions of one-sided ![]()
unital rings with certain constraints, Serdica. Bulgaricae Mathematicae Publicationes, 17(1) (1991), 25-34.
42) Abujabal, Hamza A. S., A commutativity theorem for left ![]()
unital rings, International Journal of Mathematics and Mathematical Sciences, 13(4) (1990), 769-774.
43) Abujabal, H. A. S., and Ashraf, Mohammad, Certain near-rings with derivation are rings, Advances in mathematics research, Vol. 3., Nova Sci. Publ., Hauppauge, NY. (2003). 95-101.
44) Abujabal, H. A. S., and Ashraf, Mohammad,
Certain near-rings with derivation are rings, International Journal of Mathematics, Game Theory, and Algebra, 13(3) (2003), 203-208.
45) Abujabal, H. A. S. Nauman, S. K., A construction of Morita similar endomorphism rings, Journal of Algebra, 235(2) (2001), 453-458.
46) Khan, L. A., Abujabal, H. A. S., and Alghamdi, M. A., On the Riesz representation theorem in topological vector spaces, Studia Scientiarum Mathematicarum Hungarica. A Quarterly of the Hungarian Academy of Sciences. 36(34) (2000), 347-352.
47) Abujabal, H. A. S., and Ashraf, Mohammad, On commutativity of rings involving certain polynomial constraints, Algebra Colloquium, 5(1) (1998), 111-116.
48) Abujabal, H. A. S., and Khan, M. A., Commutativity for a certain class of rings, Georgian Mathematical Journal, 5(4) (1998), 301-314.
49) Abujabal, H. A. S., Ashraf, M., and Alghamdi, M. A., Some commutativity results for one sided $s$-unital rings, Istanbul Universitesi. Fen Fakultesi. Matematik Dergisi. University of Istanbul. Faculty of Science. The Journal of Mathematics, 54 (1995), 61-68 (1997).
50) Abujabal, H. A. S., Alghamdi, M. A., and El-Sayyad, S.,A few classes of subalgebras of BCI-algebras, East Journal of Mathematical Sciences, (1998), 1-15.
51) Abujabal, H. A. S. Nauman, S. K., Static modules and Clifford theories, Journal of Algebra, 193(2) (1997), 677-687.
52) Abujabal, H. A. S., and Ashraf, M. Some commutativity theorems through a Streb's classification, Note di Matematica. 14(1) 1994, 71-79 (1997).
53) Abujabal, H. A. S., Obaid, M. A., Zaidi, S. M. A., and Khan, S., A categorical study of $p$-semisimple BCI-algebras., Qufu Shifan Daxue Xuebao. Ziran Kexue Ban. Journal of Qufu Normal University. Natural Science Edition, 23(1) (1997), 21-28.
54) Abujabal, H. A. S., Obaid, M. A., and Khan, M. A., On commutativity of rings with constraints involving a nil subset. Proyecciones. Journal of Mathematics, 15(1) (1996), 91-99.
55) Abujabal, H. A. S., Aslam, M., and Thaheem, A. B.,A representation of bounded commutative BCK-algebras, International Journal of Mathematics and Mathematical Sciences. 19(4) (1996), 733-735.
56) Abujabal, H. A. S., and El-Mosalamy, M. S., A result on countable groups, Far East Journal of Mathematical Sciences, 3(2) (1995), 151-154.
57) Abujabal, H. A. S., Obaid, M. A., Aslam, M., and Thaheem, A. B., On annihilators of BCK-algebras, Czechoslovak Mathematical Journal, 45(120)(4) (1995), 727-735.
58) Abujabal, H. A. S., and Ashraf, M., Commutativity theorems for rings with constraints on commutators, Tamkang Journal of Mathematics, 26(1) (1995), 25-29.
59) Abujabal, H. A. S., Zaidi, S. M. A., and Khan, S., Homological techniques and commutators in BCK-algebras category, Panamerican Mathematical Journal. 4(3) (1994), 59-68.
60) Abujabal, H. A. S., Aslam, M., and Thaheem, A. B., On actions of BCK-algebras on groups, Panamerican Mathematical Journal, 4(3) (1994), 43-48.
61) Abujabal, H. A. S., and Peric, V., Some commutativity theorems for ![]()
unital rings with constraints on commutators, Institut Mathematique. Publications, Nouvelle Serie, 52(66) (1992), 86-94.
62) Khan, M. A., and Abujabal, H. A. S., On commutativity of left ![]()
unital rings, Glasnik Matematicki, Serija III, 26(46)(12) (1991), 23-29.
63) Abujabal, H. A. S., Khan, M. A., Khan, M. S., and Samman, M. S., On commutativity of rings with constraints on subsets, Czechoslovak Mathematical Journal. 43(118)(3) (1993), 439-449.
64) Abujabal, H. A. S., and Khan, M. A., Some elementary commutativity theorems for associative rings, Kyungpook Mathematical Journal, 33(1) (1993), 49-51.
65) Abujabal, H. A. S., Commutativity results for one-sided ![]()
unital and semi-prime rings, Serdica. Bulgaricae Mathematicae Publicationes, 18(34) (1992), 162-172.
66) Abujabal, H. A. S., Khan, M. S., and Khan, M. A., On commutativity of semi-prime rings, Mathematica Japonica, 37(6) (1992), 1041-1046.
67) Abujabal, H. A. S., Khan, M. A., and Samman, M. S., On commutativity of one-sided ![]()
unital rings, Tamkang Journal of Mathematics, 23(3) (1992), 253-268.
68) Abujabal, H. A. S., and Khan, M. A.,On commutativity of one-sided ![]()
unital rings, International Journal of Mathematics and Mathematical Sciences, 15(4) (1992), 813-818.
69) Abujabal, H. A. S., Aslam, M., and Thaheem, A. B., A characterization of minimal prime ideals of BCK-algebras. Mathematica Japonica. 37(5) (1992), 973-978.
70) Abujabal, H. A. S., and Khan, M. S., Results on commutativity of rings, Soochow Journal of Mathematics, 18(1) (1992), 29-33.
71) Abujabal, H. A. S., and Khan, M. S., Commutativity results for rings via iteration., Journal of the Nigerian Mathematical Society, (9) (1990), 1-5.
72) Abujabal, H. A. S., A generalization of some commutativity theorems for rings, I,Tamkang Journal of Mathematics., 21(3) (1990), 239-245.
73) Abujabal, H. A. S., and Khan, M. S., On commutativity of ![]()
unital rings, Journal of the Korean Mathematical Society, 28(2) (1991), 293-308.
74) Abujabal, H. A. S., and Khan, M. S., A commutativity result for rings, Bulletin of the Institute of Mathematics. Academia Sinica, 18(4) (1990), 333-337.
75) Abujabal, H. A. S., Commutativity of right ![]()
unital rings with constraints on commutators, Pure Mathematics and Applications, Series A, 1(2) (1990), 97-108.
76) Abujabal, H. A. S., Khan, M. A., and Khan, M. S.,Correction to: ``A commutativity theorem for one-sided ![]()
unital rings,'' Pure Mathematics and Applications, Series A, 1(34) (1991), 255-256.
77) Abujabal, H. A. S., Khan, M. A., and Khan, M. S., A commutativity theorem for one-sided ![]()
unital rings, Pure Mathematics and Applications, Series A, 1(2) (1990), 109-116.
78) Abujabal, H. A. S., On the irreducible characters of the group ![]()
, Annales de la Societe Scientifique de Bruxelles, Serie I, Sciences Mathematiques, Astronomiques et Physiques, 104(1) (1990), 31-45.
79) Abujabal, H. A. S., and Khan, M. S., An iteration technique and commutativity of rings, International Journal of Mathematics and Mathematical Sciences, 13(2) (1990), 315-319.
80) Abujabal, H. A. S., and Khan, M. S., On commutativity theorems for rings, International Journal of Mathematics and Mathematical Sciences, 13(1) (1990), 87-92.
81) Abujabal, H. A. S., and Khan, M. S., On the commutativity of a ring with unity, Institute of Mathematics & Computer Sciences, Journal, (Mathematics Series), 3(1) (1990), 61-65.
82) Abujabal, H. A. S., and Khan, M. S., Some generalizations of commutativity theorems for rings, Institute of Mathematics & Computer Sciences Journal, (Mathematics Series),2(1) (1989), 121-124.
83) Abujabal, H. A. S., and Obaid, M. A., A radical approach in BCI-algebras, Southeast Asian Bulletin of Mathematics, 23(3) (1999), 335-342.
84) Abujabal, H. A. S., Obaid, M. A., and Khan, M. A., On structure and commutativity of near-rings. Proyecciones. Journal of Mathematics., 19(2) (2000), 113-124.
85) Saleemi, B. A., Abujabal, H. A. S., and Alghamdi, M. A., On irresolute maps and small images, Istanbul Universitesi. Fen Fakultesi. Matematik Dergisi, University of Istanbul. Faculty of Science, The Journal of Mathematics, 54 (1995), 85-90 (1997).
86) Abujabal, H. A. S., and El-Mosalamy, M., Bipartite groups, Istanbul Universitesi. Fen Fakultesi. Matematik Dergisi. University of Istanbul, Faculty of Science, The Journal of Mathematics, 54 (1995), 95-99 (1997).
87) Abujabal, H. A. S., Khan, M. A., and Khan, M. S. Samman, M. S., On commutativity of rings with constraints on subsets, Radovi Matematicki, 8(1) (1992/96), 43-54.
88) Abujabal, H. A. S., Alghamde, M. A., Zaidi, S. M. A., and Ansari, Q. A., On co-completeness of the categories of ![]()
fuzzy subgroups, Malaysian Mathematical Society, Bulletin, Second Series, 19(2) (1996), 55-62.
89) Abujabal, H. A. S., Obaid, M. A., and Zaidi, S. M. A., Projective structures in categories, Bulletin of Pure & Applied Sciences, Section E. Mathematics and Statistics, 15(2) (1996), 207-215.
90) Abujabal, H. A. S., Obaid, M. A., and Zaidi, S. M. A., Creation of some structures in categories, Proyecciones. Journal of Mathematics, 14(2) (1995), 105-113.
91) Abujabal, H. A. S., an Khan, M. A., On commutativity of right ![]()
unital rings with some polynomial constraints, Proyecciones. Journal of Mathematics. 14(2) 1995, 89-96.
92) Abujabal, H. A. S., Bell, H. E., Khan, M. S., and Khan, M. A., Commutativity of semiprime rings with power constraints, Studia Scientiarum Mathematicarum Hungarica. A Quarterly of the Hungarian Academy of Sciences, 30(34) (1995), 183-187.
93) Abujabal, H. A. S., On prime lattice ideals of BCK-algebras, Panamerican Mathematical Journal, 4(3) (1994), 69-72.
94) Abujabal, H. A. S., Khan, M. A., and Khan, M. S., On commutativity of rings with constraints on subsets, Serdica. Bulgaricae Mathematicae Publicationes, 19(4) (1993), 234-242.
95) Abujabal, H. A. S., Ashraf, M., and Obaid, M. A., Commutativity with certain constraints, Mathematica Japonica, 37(5) (1992), 965-972.
96) Abujabal, H. A. S., and Khan, M. S., Commutativity theorems for ![]()
unital rings, Acta Scientiarum Naturalium Universitatis Jilinensis, Jilin Daxue, Ziran Kexue Xuebao, Jilin University, Natural Sciences Journal, (3) (1991), 37-41.
97) Abujabal, H. A. S., and Khan, M. S., Some commutativity theorems for rings via iteration, Zbornik Radova Prirodno-Matematichkog Fakulteta. Serija za Matematiku. Review of Research. Faculty of Science., Mathematics Series, 21(1) (1991), 33-38.
98) Abujabal, H. A. S., and Khan, M. S., Some commutativity conditions for rings, Zbornik Radova Prirodno-Matematichkog Fakulteta. Serija za Matematiku. Review of Research. Faculty of Science, Mathematics Series, 21(1) (1991), 23-31.
99) Abujabal, H. A. S., and Khan, M. S. Results on commutativity of rings, Journal of Mathematical Research and Exposition, 11(4) (1991), 497-500.