# Books

# Free Download Research Articles

The Zero-Divisor Graph of a Commutative Semigroup: A Survey, DOI: 10.1007/978-3-319-51718-6_2." In Groups, Modules, and Model Theory-Surveys and Recent Developments, edited by Manfred Droste, László Fuchs, Brendan Goldsmith, Lutz Strüngmann, 23-39. Germany/NewYork: Springer, 2017.

Recent results on annihilator graph of a commutative ring: A survey." In Nearrings, Nearfields, and Related Topics, edited by K. Prasad et al, (11 pages), New Jersey: World Scientific, 2017.

"On (m,n)-closed ideals of commutative rings." Journal of Algebra and its Applications 16, no. 1 (2017): doi: 10.1142/S021949881750013X.

"On weakly semiprime ideals of commutative rings." Beitraege zur Algebra und Geometrie 57, no. 3 (2016): 589-597. doi: 10.1007/s13366-016-0283-9.

Generalizations of 2-absorbing primary ideals of commutative rings, Turk J Math

(2016) 40: 703-- 717, doi:10.3906/mat-1505-43

ON THE DOT PRODUCT GRAPH OF A COMMUTATIVE RING, Communications in Algebra, 43: 43–50, (2015), DOI: 10.1080/00927872.2014.897188

On weakly 2-absorbing primary ideals of commutative rings, J. Korean Math. Soc. 52 (2015), No. 1, pp. 97–111

ON 2-ABSORBING PRIMARY IDEALS IN COMMUTATIVE RINGS, Bull. Korean Math. Soc. 51 (2014), No. 4, pp. 1163–1173

On the Total Graph of a Ring and Its Related Graphs: A Survey, M. Fontana et al. (eds.), Commutative Algebra: Recent Advances in Commutative Rings, Integer-Valued Polynomials, and Polynomial Functions, DOI 10.1007/978-1-4939-0925-4__3, © Springer Science+Business Media New York (2014)

" ON THE ANNIHILATOR GRAPH OF A COMMUTATIVE RING," Comm. Algebra, Vol. 42 (1), 108-121, (2014). DOI: 10.1080/00927872.2012.707262.

A review of my book (Abstract algebra manual: problems and solutions. 2nd ed) by the experts as in Zentralblatt Math Database

Download for free my book: Abstract algebra manual: problems and solutions. 2nd ed (2004), Only the part on groups.

"Matrix Algebra, Basics of," a chapter in Encyclopedia of Social Network Analysis and Mining, to appear in 2014 by Springer. DOI 10.1007/978-1-4614-6170-8.

"THE GENERALIZED TOTAL GRAPH OF A COMMUTATIVE RING," Journal of Algebra and Its Application (JAA), .Vol. 12, No. 5 (2013). DOI: 10.1142/S021949881250212X

"ON Weakly 2-absorbing ideals of commutative rings," Houston Journal of Math, Volume 39(2), 441-452 (2013).

"A characterization of normal subgroups via n-closed sets," (suitable for undergraduate Math. Students), Adv. Studies Contemp. Math. 22(2), 233-237 (2012).

ON THE TOTAL GRAPH OF A COMMUTATIVE RING WITHOUT THE ZERO ELEMENT, Journal of Algebra and Its Applications (JAA), Vol. 11(4), (2012).

"Von Neumann Regular and Related Elements in Commutative Rings," Algebra Colloquium 19 (Spec 1), 1017-1040 (2012)

"ON n-ABSORBING IDEALS OF COMMUTATIVE RINGS," Communications in Algebra, 39 (2011) 1646–1672

"Divisibility properties in ultrapowers of commutative ring", Chapter in the book : Commutative Algebra And Its Applications, 9-19(2009), Walter De Gruyter, Germany, ISBN 978-3-11-020746-0

"On rings with divided nil ideal", Chapter in the book : Commutative Algebra And Its Applications, 21-40(2009), Walter De Gruyter, Germany, ISBN 978-3-11-020746-0

"The total graph of a commutative ring," Journal of Algebra 320 (2008) 2706–2719

"On the zero-divisor graph of a ring," Comm. Algebra 36(2008), 3073-3092.

"Some finiteness conditions on the set of overings of a phi-ring," Houston Journal of Math 34(2) (2008), 397-407

"On 2-absoring ideals of commutative rings," Bulletin Australian Math. Society 75(2007),417-429

"On Pseudo-almost valuation domains," Comm. Algebra 35(2007), 1167-1181

"On phi--Mori rings," Houston J. Math.32(2006), 1.31

" Strong ring extensions and phi-pseudo-valuation rings," Houston J. Math.32(2006), 379-398.

A Counter example for a question on pseudo-valuation rings," Abelian Groups, Rings, Modules, and Homological Algebra, Chapman & Hall/CRC, Vol. 249 (2006), 23-27.

"Factoring nonnil ideals as a product of prime and invertible ideals," Bulletin of the London Math. Society 37(2005), 665-672.

"On phi-Dedekind rings and phi-Krull rings," Houston J. Math.31(2005), 1007-1022.

"Rings with prime nilradical," Arithmetical Properties of Commutative Rings and Monoids, Chapman & Hall/CRC, Lecture notes in pure and applied math series, Vol. 241(2005), 198-212.

"On phi--Prufer rings and phi-Bezout rings," Houston J. Math. 30(2004), 331-343.

"A Characterization of valuation domains via m-canonical ideals," Comm. Algebra 32(2004), 4363-4374.

" On nonnil-Noetherian rings," Comm. Algebra 31(2003), 1669-1677.

"On rings with near idempotent elements," International J. of Pure and Applied Math 1(3), 255-262 (2002)

"On Divided rings and phi-pseudo-valuation rings," International J. Comm. Rings (IJCR), Vol. 1(2002), 51-60.

"Pseudo-valuation domains: A Survey," Proceedings of the Third Palestinian International Conference on Mathematics, 38-59(2002), Word Scienti¯c Publishing Co., New York/London.

" Divisibility conditions in commutative rings with zero-divisors," Comm. Algebra 38(2002), 4031-4047.

" Powerful ideals, strongly primary ideals, almost pseudo-valuation domains, and conducive domains," Comm. Algebra 30(2002), 1591-1606.

"On the complete integral closure of rings that admit a phi-strongly prime ideal," Commutative Ring Theory and Applications, Lecture notes in pure and applied math series, CRC Press Taylor&Francis Group, Vol. 231 (2002), 15-22.

"On root closure in commutative rings,” Arabian J. of Science and Engineering (Arabian J. Sci. Eng), Vol. 26, 1C(2001), 17-30, now published by springer

" On Locally divided rings and going down rings," Comm. Algebra. 29(2001), 2805-2825.

” Conditions equivalent to seminormality in certain classes of commutative rings,” Lecture Notes Pure Appl. Math., Vol. 220(2001), 49-59, Marcel Dekker, New York/Basel.

” Some examples of locally divided rings,” Lecture Notes Pure Appl. Math., Vol. 220(2001), 73-83. Marcel Dekker, New York/Basel.

” On root closure in commutative rings,” Arabian J. of Science and Engineering (Arabian J. Sci. Eng), Vol. 26, 1C(2001), 17-30.

"On chained overrings of pseudo-valuation rings, " Comm. Algebra 28(5), 2359-2366 (2000)

" Remarks on pseudo-valuation rings, " Comm. Algebra 28(5), 2343-2358 (2000)

" On phi-chained rings and phi-pseudo-valuation rings," Houston J. Math 27(2001), 725-736.

"Pseudo-valuation rings II," Boll. Un. Mat. Ital. B(8)3(2000), 535-545.

"On phi--pseudo-valuation rings, II," Houston J. Math. 26(2000), 473-480.

"On phi-pseudo valuation rings, " Advances in Commutative Ring Theory, Lecture notes in pure and applied math series, CRC Press Taylor&Francis Group, Vol. 205 (1999), 101-110.

"On divided commutative rings," Comm. Algebra 27(3), 1465-1474 (1999)

"On comparability of ideals of commutative rings," Comm. Algebra 26(3), 793-802 (1998)

"Pseudo-valuation rings," Commutative Ring Theory, Lecture notes in pure and applied math series, CRC Press Taylor&Francis Group, Vol. 185 (1997), 57-67

" On Abelian Pi-regular rings," Comm. Algebra 25(1997), 1009-1021.

" A visit to valuation and pseudo-valuation domains," Lecture Notes Pure Appl. Math. Vol. 185(1995), 57-69,

Marcel Dekker (Now Tylor & Francis) , New York/Basel.

" On domains which have prime ideals that are linearly ordered," Comm. Algebra 23(1995), 4365-4373.

"On semicommutative pi-regular rings," Comm. Algebra 22(1), 151-157 (1994).

Rn Contains a Division Ring iff R Does, American Math. Monthly 100(7) (1993), 679-680.