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On SSAGP-injective Rings [PDF]
مجلة التربية والعلم, 2019 In this paper, we investigate some properties of rings whose simple singular right R- modules are A Gp-injective (or SSAGP- injective for short). It is proved that: Y(R)=0 where R is a right SSAGP- injective rings.
Raida Mahmood, Manal Abd
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, 2002 The main concern of this book is the study of Smarandache analogue properties of near-rings and Smarandache near-rings; so it does not promise to cover all concepts or the proofs of all ...
Vasantha, Kandasamy
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REDUCED MODULES AND STRONGLY REGULAR RINGS
East Asian Mathematical Journal, 2017 Chan Huh, Jeoung Soo Cheon, Du Won Kim
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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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Morphic elements in regular near-rings
, 2023 We define morphic near-ring elements and study their behavior in regular near-rings. We show that the class of left morphic regular near-rings is prop?erly contained between the classes of left strongly regular and unit-regular near-rings.
Philly Kimuli (14349951)
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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 Properties of Graded Rings with respect to Group Homomorphisms
International Journal of Mathematics and Mathematical Sciences, 2023 Let G be a group and R be a G-graded ring with non-zero unity. The goal of our article is reconsidering some well-known concepts on graded rings using a group homomorphism α:G⟶G. Next is to examine the new concepts compared to the known concepts.
Azzh Saad Alshehry +2 more
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VNR rings, $\Pi$-regular rings and annihilators [PDF]
, 2009 summary:Von Neumann regular rings, hereditary rings, semi-simple Artinian rings, self-injective regular rings are characterized. Rings which are either strongly regular or semi-simple Artinian are considered.
Yue Chi Ming, Roger
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On strongly regular near-rings [PDF]
Proceedings of the Edinburgh Mathematical Society, 1984 According to Mason [1] a right near-ring N is called (i) left (right) strongly regular if for every a there is an x in N such that a = xa2 (a = a2x) and (ii) left (right) regular if for every a there is an x in N such that a = xa2 (a = a2x) and a = axa.
Reddy, Y. V., Murty, C. V. L. N.
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مجلة التربية والعلم, 2006 In this work we introduce the notion of G.P.P- rings and some of it is basic properties, we prove that if R is a right G.P.P- ring , then R is P.P- ring if r(an)r(a) for every aR and a positive integer n.
Manal Abd
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