CURRICULUM VITAE
Syed Khalid Nauman
Professor of Mathematics
Department of Mathematics, King Abdulaziz University P.O. Box 80203, Jeddah 21589, Kingdom of Saudi Arabia Office Phone: +966-2-6400000+Ext: 64496
Mobile: +966-557722640
E-mails: [email protected], [email protected] URL: http://snauman.kau.edu.sa
Education
Ph. D. Mathematics (May 1988)
Pennsylvania State University, Pennsylvania, USA.
Doctoral Dissertation: M – Static Modules Supervisor: David Sibley
Exam Committee:
Publications
M. A. A. Obaid, S. K. Nauman, W. M. Fakieh, C. M. Ringel: The Ingalls- Thomas bijections (to appear in International Electronic Journal of Algebra).
J. M. Al-Musannef, S. K. Nauman; A taxonomy of static modules with examples, To appear in Communications in Algebra (submitted 20-June- 2015, accepted 23-December 2015).
M. A. A. Obaid, S. K. Nauman, W. M. Fakieh, C. M. Ringel: Static subcategories of the module category of a finite-dimensional hereditary algebra. (to appear in Communications in Algebra). Doi:
10.1080/00927872.2015. 1053902.
M. A. A. Obaid, S. K. Nauman, W. M. Fakieh, C. M. Ringel: The numbers of support-tilting modules for Dynkin algebras. Journal of Integer Sequences, Vol. 18 (2015), Article 15.10.6. 1-24.
S. K. Nauman, B. M. Shafee, A class of zero divisor rings in which every graph is precisely the union of a complete graph and a complete bipartite graph, Open Mathematics 2015; 13: 528–536. DOI 10.1515/math-2015- 0050.
W. M. Fakieh, S. K. Nauman; * - skew polynomial rings, British Journal of Mathematics & Computer Science, 10(4): 1-12, 2015, Article no.BJMCS.18665 DOI: 10.9734/BJMCS/2015/18665
B. M. Shafee, S. K. Nauman, On extensions of right symmetric rings without identity. Advances in Pure Mathematics, (2014) 4, 665-673.
http://dx.doi.org/10.4236/apm.2014.412075.
M. A. A. Obaid, S. K. Nauman, W. S. Shammakh, W. M. Fakieh, C. M.
Ringel: The number of complete exceptional sequences for a Dynkin algebra, Colloquium Mathematicum 133 (2013), 197-210.
doi:10.4064/cm133-2-6.
W. M. Fakieh, S. K. Nauman; Reversible rings with involutions and some minimalities, The Scientific World Journal, Volume 2013, Article ID 650702, 8 pages. http://www.hindawi.com/journals/tswj/2013/650702/
S. K. Nauman, N. Rehaman, M. Radwan; Lie ideals, Morita context and Generalized (α, β)-Derivations, Acta Mathematica Sinica 33B(4) (2013), 1059-1070.
S. Al-Nofayee, S. K. Nauman; Erratum: Derivations on Morita rings and generalized derivations (Journal of Algebra and its Applications (2011) 10:2 (191-200)) Journal of Algebra and its Applications, vol. 12, no. 5, 2013, DOI: 10.1142/ S0219498813920011.
N.H. Muthana, S.K. Nauman, On commutativity of semiprime right Goldi Ck- rings, Advances in Pure Mathematics, (2012), 2, 217-219 doi:10.4236/apm. 2012.24031.
S. Al-Nofayee, S. K. Nauman; Some equivalences and dualities via static modules, Advances in Pure Mathematics, Vol. 1(2011), 359-362 doi:10.4236/ apm. 2011.16064.
S. Al-Nofayee, S. K. Nauman; Derivations on Morita rings and generalized derivations, Journal of Algebra & its Applications, Vol. 10(2) (2011), 191- 200. DOI: 10.1142/S0219498811004525 .
S. Al-Nofayee, S. K. Nauman; Equivalences and dualities between FCI and FGP modules, Int. J. Algebra 3(19) (2009), 911-918.
N. H. Muthana, S. K. Nauman; Reduced rings, Morita contexts and derivations, East-West Journal of Mathematics, Vol. 10, No 2 (2008) 179- 186.
A.N. Al-Kenani, S. K. Nauman: A short construction of Morita similar rings, JP Journal of Algebra, Number Theory, and their Applications, 11(2) (2008) 203-207.
J. Y. Abuhlail, S. K. Nauman; Injective Morita Contexts (Revisited),
"Modules and Comodules", Trends in Mathematics by Birkhäuser (Basel, Boston, Berlin), Editors: T. Brzezinski, J.L.G. Pardo, I. Shestakov, P.F.
Smith, 2008 (1-30).
S. K. Nauman; Morita similar matrix rings and their Grothendieck groups, Aligarh, Bulletin of Math., 23 (2004), 49-60.
A.N. Al-Kenani & N. J. Khojah, S. K. Nauman; g-Homomorphisms and morphisms between Morita contexts, Alig. Bulletin of Math., 23 (2004), 33- 48.
H. Abujabal, S. K. Nauman; A construction of Morita similar endomorphism rings, Journal of Algebra, 235 (2001), 453-458.
H. Abujabal, S. K. Nauman; Static modules and Clifford theories, Journal of Algebra, 193 (1997), 677-687.
S. K. Nauman; Intersecting Subcategories of Static Modules, Stable Clifford Theory and Colocalization-Localization, Journal of Algebra, 170 (1994), 400-421.
S. K. Nauman; An Alternate Criterion of Localized Modules, Journal of Algebra, 164 (1994), 256-263.
S. K. Nauman; Intersecting Subcategories of Static Modules and Their Equivalences, Journal of Algebra, 155 (1993), 252-265.
S. K. Nauman; An alternate criterion of colocalized-localized modules, Extracta Mathematicae, 8, (1993), 84-88.
S. K. Nauman; Partially flat and projective modules, Extracta Mathematicae, 7 (1992), 38-44.
S. K. Nauman; Pseudo rings: Collapsible modules of second type and their tensor characterization, Riazi, J. Kar. Math. Assoc., 13 (1991), 1-14.
S. K. Nauman; Static modules, stable Clifford theory, and Morita similarities of rings, Journal of Algebra, 143 (1991), 498-504.
S. K. Nauman; Static modules, Morita contexts, and equivalences, Journal of Algebra, 135, (1990), 192-202.
S. K. Nauman; Static modules and stable Clifford theory, 128 (1990), 497- 509. doi:10.1016/0021-8693(90)90037-O.
S. K. Nauman; A collapsible pseudo ring of polynomials, Riazi, J. Kar.
Math. Assoc., 5 (1983), 45-48.
S. K. Nauman; Pseudo rings: Quotient ideals and collapsibility, Riazi, J.
Kar. Math. Assoc., 4(1982), 21-28.
S. K. Nauman; On construction of radicals by using rings with torsion free additive groups, Riazi, J. Kar. Math. Assoc., 3 (1980), 1-4.
Preprints
Nauman, Fakieh, *-prime ideals.
Mohammad Ammar Zallukh, S. K. Nauman; Permeable rings and their Extensions. (September 2015)
Obaid, Nauman, Fakieh, Ringel: Schofield Numbers
S.M.Al-Shammakh, S.K. Nauman, Static modules and behaviors in multidimen -sional systems theory. (June 2012).
S. Al-Nofayee, S. K. Nauman; Highlights on Some Aspects of Static Modules (a Review) (May 2012).
Technical Report
J. Y. Abuhlail, S. K. Nauman; Injective Morita Contexts (Revisited), Technical Report, TR380, Department of Mathematical Sciences, KFUPM, Dec 2007.
Projects
Static representation of quivers, King Abdulaziz University, (2013-2014) (with Obaid, Shammakh, Fakieh, Ringel).
Symmetric and right absorbing rings, Umm-Ul-Qura University, (2013- 2014) (with B. Shafee)
Right and left symmetric rings, Umm-Ul-Qura University, (2012-2013) (with B. Shafee)
Reversible rings with involutions, King Abdulaziz University, (2012-2013) (with W.M. Fakieh ).
Nearby Commutative Rings and Derivations, King Abdulaziz University, (2010-2011) (with N.M.Muthana).
Morita Contexts and Derivations. King Abdulaziz University, (2008-2009) (with N.M.Muthana).
Classical Stable Clifford Theory and Static Modules with FCI and FGP Modules. Taif University (2008-2009) (with. S.A.Al-Nofayee).
Higher Ordered Morita Rings and their Grothendieck Groups. King Abdulaziz University, (2004 -- 2005) (with R.Al-Saedi).
Comodules over Coalgebras. King Abdulaziz University, (2003 - 2004) (with A.N.Al-Kenani).
Morphisms between Morita Contexts. King Abdulaziz University, (2001 - 2002) (with A.N.Al-Kenani & N.J.Khojah).
Static Modules and their Applications in Category Theory. King Abdulaziz University, (1996 -1997). (with H.A.S. Abujabal).
Static Modules and their Applications. Universities Grants Commission, N.S.R.D. Board, Pakistan (1990 -- 1992).
Supervision
Ph. D. Mathematics
Jawhara A. Al-Musannif; A study of some categories of static modules, Defense due shortly KAU (February 2016)
W. Al-Shammakh; Static modules, equivalences and dualities in linear systems, Department of Mathematics, KAU, 1432 H (2011).
Samah Al- Hashmi, Semiperfect rings and their extensions; In progress.
Taleb Mohsen Al-Jefree, Just join.
M. Sc. Mathematics
Muhammad Ammar Zullakh, Permeable rings and their extensions, Defence due shortly, KAU.
Rawan Al-Harthi; Symmetric rings, their extensions and generalizations, Department of Mathematics, KAU, 1436 H (2015).
Ridwan Al-Omry; Coalgebras and comodules, Department of Mathematics, KAU, 1428 H (2007).
Wahidah Al-Sibyani; Wide Morita contexts for abelian categories, Department of Mathematics, KAU, 1427 H (2006).
Hana Al-Ashwali; Equivalences of categories of static and adstatic modules,
Department of Mathematics, KAU, 1423 H (2002).
Najwa.J.Khojah; Injective and projective Morita contexts of modules, Department of Mathematics, KAU, 1422 H (2002).
Salah Al-Nofaye; Equivalences and dualities for injective and projective modules, Department of Mathematics, KAU, 1419 H (1999).
Mohammad M. Al-Shomrani; A study of group-grading via static modules, Department of Mathematics, KAU, 1419 H (1998).
Nadia A. Adham; Categories of static modules over rings of endomorphisms,
Department of Mathematics, KAU, 1418 H (1998).