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On (m, n)-absorbing prime ideals and (m, n)-absorbing ideals of commutative rings, São Paulo Journal of Mathematical Sciences, Volume 17, pages 888–901, (2023) (ISI, Scopus)
GRAPH OF LINEAR TRANSFORMATIONS OVER R, INTERNATIONAL CONFERENCE ON ALGEBRA AND RELATED TOPICS WITH APPLICATIONS ICARTA 2019: Algebra and Related Topics with Applications pp 401–412, 2022
On n-semiprimary ideals and n-pseudo valuation domains , Communications in Algebra, 49(2), 500--520 (2021), https://doi.org/10.1080/00927872.2020.1803345 , (ISI, Scopus)
RAMSEY NUMBERS OF PARTIAL ORDER GRAPH (COMPARABILITY GRAPH) AND IMPLICATIONS IN RING THEORY, Open Mathematics, Vol. 18, 1645-1657 (2020). (ISI, Scopus); (Ayman Badawi is supported by the American University of Sharjah Research Fund (FRG2019): AS1602 and Roswitha Rissner is supported by the Austrian Science Fund (FWF): P 28466) (ISI, Scopus)
On 1-absorbing primary ideals of commutative rings ( corrections to Theorem 18 is added) , Journal of Algebra and Its Applications Vol. 19, No. 6 (2020) 2050111 (12 pages), DOI: 10.1142/S021949882050111X , (ISI, Scopus).
On the dot product graph of a commutative ring II, International Electronic Journal of Algebra, Volume 28 (2020), 61--74, DOI: 10.24330/ieja.768135, (ISI, Scopus)
On n-absorbing ideals and (m,n)-closed ideals in trivial ring extensions of commutative rings, Journal of Algebra and Its Applications Vol. 18, No. 7 (2019) 1950123 (19 pages) , (ISI, Scopus)
On weakly 2-absorbing δ-primary ideals of commutative rings (online), Georgian Math. Journal, 2018. (ISI, Scopus)
Weakly (m,n)-closed ideals and (m,n)-von Neumann regular rings, J. Korean Math. Soc. Vol. 55, No. 5, , pp. 1031-1043, 2018 (ISI, Scopus)
On Weakly δ-Semiprimary Ideals of Commutative Rings, Algebra Colloquium, Vol. 25, No. 03, pp. 387-398 (2018) (ISI, Scopus)
n-Absorbing Ideals of Commutative Rings and Recent Progress on Three Conjectures: A Survey. In Rings, Polynomials, and Modules, edited by Marco Fontana, Sophie Frisch, Sarah Glaz, Francesca Tartarone, and Paolo Zanardo, Springer (2017) (Survey article in a book, American Math Reviews)
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.( Survey article in a book, American Math Reviews)
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.( Survey article in a book, American Math Reviews)
"On (m,n)-closed ideals of commutative rings." Journal of Algebra and its Applications 16, no. 1 (2017): doi: 10.1142/S021949881750013X. (ISI, Scopus)
"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. (ISI, Scopus)
Generalizations of 2-absorbing primary ideals of commutative rings, Turk J Math
(2016) 40: 703-- 717, doi:10.3906/mat-1505-43(ISI, Scopus)
ON THE DOT PRODUCT GRAPH OF A COMMUTATIVE RING, Communications in Algebra, 43: 43–50, (2015), DOI: 10.1080/00927872.2014.897188(ISI, Scopus)
On weakly 2-absorbing primary ideals of commutative rings, J. Korean Math. Soc. 52 (2015), No. 1, pp. 97–111(ISI, Scopus)
ON 2-ABSORBING PRIMARY IDEALS IN COMMUTATIVE RINGS, Bull. Korean Math. Soc. 51 (2014), No. 4, pp. 1163–1173(ISI, Scopus)
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)( Survey article in a book, American Math Reviews)
" ON THE ANNIHILATOR GRAPH OF A COMMUTATIVE RING," Comm. Algebra, Vol. 42 (1), 108-121, (2014). DOI: 10.1080/00927872.2012.707262.(ISI, Scopus)
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. (Article on some basic concepts in Linear Algebra )
"THE GENERALIZED TOTAL GRAPH OF A COMMUTATIVE RING," Journal of Algebra and Its Application (JAA), .Vol. 12, No. 5 (2013). DOI: 10.1142/S021949881250212X(ISI, Scopus)
"ON Weakly 2-absorbing ideals of commutative rings," Houston Journal of Math, Volume 39(2), 441-452 (2013).(ISI, Scopus)
"A characterization of normal subgroups via n-closed sets," (suitable for undergraduate Math. Students), Adv. Studies Contemp. Math. 22(2), 233-237 (2012).(Scopus)
ON THE TOTAL GRAPH OF A COMMUTATIVE RING WITHOUT THE ZERO ELEMENT, Journal of Algebra and Its Applications (JAA), Vol. 11(4), (2012).(ISI, Scopus)
"Von Neumann Regular and Related Elements in Commutative Rings," Algebra Colloquium 19 (Spec 1), 1017-1040 (2012)(ISI, Scopus) (ISI, Scopus)
"ON n-ABSORBING IDEALS OF COMMUTATIVE RINGS," Communications in Algebra, 39 (2011) 1646–1672(ISI, Scopus)
"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 ( Article in a book, American Math Reviews)
"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-( Survey article in a book, American Math Reviews)
"The total graph of a commutative ring," Journal of Algebra 320 (2008) 2706–2719 (ISI, Scopus)
"On the zero-divisor graph of a ring," Comm. Algebra 36(2008), 3073-3092.(ISI, Scopus)
"Some finiteness conditions on the set of overings of a phi-ring," Houston Journal of Math 34(2) (2008), 397-407 (ISI, Scopus)
"On 2-absoring ideals of commutative rings," Bulletin Australian Math. Society 75(2007),417-429 (ISI, Scopus)
"On Pseudo-almost valuation domains," Comm. Algebra 35(2007), 1167-1181 (ISI, Scopus)
"On phi--Mori rings," Houston J. Math.32(2006), 1.31(ISI, Scopus)
" Strong ring extensions and phi-pseudo-valuation rings," Houston J. Math.32(2006), 379-398.(ISI, Scopus)
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. (Article in a book, American Math Reviews)
"Factoring nonnil ideals as a product of prime and invertible ideals," Bulletin of the London Math. Society 37(2005), 665-672.(ISI, Scopus)
"On phi-Dedekind rings and phi-Krull rings," Houston J. Math.31(2005), 1007-1022.(ISI, Scopus)
"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.(Article in a book, American Math Reviews)
"On phi--Prufer rings and phi-Bezout rings," Houston J. Math. 30(2004), 331-343..(ISI, Scopus)
"A Characterization of valuation domains via m-canonical ideals," Comm. Algebra 32(2004), 4363-4374. .(ISI, Scopus)
" On nonnil-Noetherian rings," Comm. Algebra 31(2003), 1669-1677..(ISI, Scopus)
"On rings with near idempotent elements," International J. of Pure and Applied Math 1(3), 255-262 (2002)(Scopus and Math reviews Stopped indexing this Journal in their DATABASE)
"On Divided rings and phi-pseudo-valuation rings," International J. Comm. Rings (IJCR), Vol. 1(2002), 51-60. (Journal is no longer exists)
"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. (Survey article in a book, American Math Reviews)
" Divisibility conditions in commutative rings with zero-divisors," Comm. Algebra 38(2002), 4031-4047. (ISI, Scopus)
" Powerful ideals, strongly primary ideals, almost pseudo-valuation domains, and conducive domains," Comm. Algebra 30(2002), 1591-1606. (ISI, Scopus)
"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. (Article in a book, American Math Reviews)
"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(ISI, Scopus)
" On Locally divided rings and going down rings," Comm. Algebra. 29(2001), 2805-2825.(ISI, Scopus)
” 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.(Article in a book, American Math Reviews)
” Some examples of locally divided rings,” Lecture Notes Pure Appl. Math., Vol. 220(2001), 73-83. Marcel Dekker, New York/Basel.(Article in a book, American Math Reviews)
"On chained overrings of pseudo-valuation rings, " Comm. Algebra 28(5), 2359-2366 (2000) (ISI, Scopus)
" Remarks on pseudo-valuation rings, " Comm. Algebra 28(5), 2343-2358 (2000) (ISI, Scopus)
" On phi-chained rings and phi-pseudo-valuation rings," Houston J. Math 27(2001), 725-736. (ISI, Scopus)
"Pseudo-valuation rings II," Boll. Un. Mat. Ital. B(8)3(2000), 535-545. (ISI, Scopus)
"On phi--pseudo-valuation rings, II," Houston J. Math. 26(2000), 473-480.(ISI, Scopus)
"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. (Article in a book, American Math Reviews)
"On divided commutative rings," Comm. Algebra 27(3), 1465-1474 (1999) .(ISI, Scopus)
"On comparability of ideals of commutative rings," Comm. Algebra 26(3), 793-802 (1998) (ISI, Scopus)
"Pseudo-valuation rings," Commutative Ring Theory, Lecture notes in pure and applied math series, CRC Press Taylor&Francis Group, Vol. 185 (1997), 57-67 (Article in a book, American Math Reviews)
" On Abelian Pi-regular rings," Comm. Algebra 25(1997), 1009-1021. (ISI, Scopus)
" 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. (Article in a book, American Math Reviews)
" On domains which have prime ideals that are linearly ordered," Comm. Algebra 23(1995), 4365-4373.(ISI, Scopus)
"On semicommutative pi-regular rings," Comm. Algebra 22(1), 151-157 (1994).(ISI, Scopus)
Rn Contains a Division Ring iff R Does, American Math. Monthly 100(7) (1993), 679-680.(ISI, Scopus)
