Results 41 to 50 of about 14,805 (283)
Boolean Rings Based On Multirings [PDF]
Journal of Sciences, Islamic Republic of Iran, 2021 The purpose of this paper is to construct Boolean rings from multirings. In this regards, a method to construct a multigroup(multiring) on a given non-empty set, are introduced and its properties has been investigated.
Reza Ameri +2 more
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Maximal Generalization of Pure Ideals [PDF]
Al-Rafidain Journal of Computer Sciences and Mathematics, 2008 The purpose of this paper is to study the class of the rings for which every maximal right ideal is left GP-ideal. Such rings are called MGP-rings and give some of their basic properties as well as the relation between MGP-rings, strongly regular ring ...
Raida Mahmood, Awreng Mahmood
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On Rings whose Maximal Essential Ideals are Pure [PDF]
Al-Rafidain Journal of Computer Sciences and Mathematics, 2007 This paper introduces the notion of a right MEP-ring (a ring in which every maximal essential right ideal is left pure) with some of their basic properties; we also give necessary and sufficient conditions for MEP – rings to be strongly regular rings and
Raida Mahmood, Awreng Mahmood
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On Regularity and Flatness [PDF]
Al-Rafidain Journal of Computer Sciences and Mathematics, 2004 A ring R is called a right SF-ring if all its simple right R-modules are flat. It is well known that Von Neumann regular rings are right and left SF-rings. In this paper we study conditions under which SF-rings are strongly regular.
Nazar Shuker
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Semigroup Forum, 1985 A ring is called strongly regular if its multiplicative semigroup is inverse. This definition is equivalent to more conventional definitions of strongly regular rings [for example, to a definition given by \textit{R. Arens} and \textit{I. Kaplansky}, Trans. Am. Math. Soc. 63, 457-481 (1948; Zbl 0032.00702)].
Schein, B.M., Li, L.
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On Rings whose Maximal Ideals are GP-Ideals [PDF]
Al-Rafidain Journal of Computer Sciences and Mathematics, 2005 This paper introduces the notion of maximal GP-ideal .We studied the class of rings whose maximal left ideal are right GP-ideal. We call such ring MRGP-rings. We consider a necessary and sufficient condition for MRGP-rings to be MRCP-rings. We also study
Raida Mahmood, Manal Abd
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On Completely YJ-injective Rings [PDF]
Al-Rafidain Journal of Computer Sciences and Mathematics, 2013 A ring R is called completely right YJ-injective (briefly, right CYJ injective ) if every homomorphic image of R is right YJ-injective. In this paper, we study completely right YJ-injective rings and their connection with Von Neumann regular rings.
Raida Mahammod, Husam Mohammad
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SOME RESULTS ON STRONGLY π-REGULAR RIN
Tikrit Journal of Pure Science, 2023 In this paper we study the strongly - regular ring (for short st. -reg. rg.) and some properties also give some new results of st. -reg. rg. and its connection with other rings.
Sinan O. Al-Salihi, Emad I. Jassim
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On Weakly Regular Rings and SSF-rings [PDF]
Al-Rafidain Journal of Computer Sciences and Mathematics, 2006 In this work we consider weakly regular rings whose simple singular right R-Modules are flat. We also consider the condition (*): R satisfies L(a)Ír(a) for any aÎR. We prove that if R satisfies(*) and whose simple singular right R-module are flat, then Z
Raida Mahmood
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On Strongly pi-Regular Rings with Involution
Communications in Mathematics, 2022 Recall that a ring R is called strongly pi-regular if, for every a in R, there is a positive integer n, depending on a, such that a^n belongs to the intersection of a^{n+1}R and Ra^{n+1}. In this paper we give a further study of the notion of a strongly pi-star-regular ring, which is the star-version of strongly pi-regular rings and which was ...
Cui, Jian, Danchev, Peter
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