Results 1 to 10 of about 110,346 (305)
GENERALIZATION OF VON-NEUMANN REGULAR RINGS TO VON-NEUMANN REGULAR MODULES [PDF]
Barekeng, 2023 An element r in a commutative ring R is called regular if there exist s∈R such that rsr=r. Ring R is called vN (von-Neumann)-regular ring if every element is regular. Recall that for any ring R always can be considered as module over itself.
Hubbi Muhammad, Sri Wahyuni
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On Semiabelian π-Regular Rings [PDF]
International Journal of Mathematics and Mathematical Sciences, 2007 A ring R is defined to be semiabelian if every idempotent of R is either right semicentral or left semicentral. It is proved that the set N(R) of nilpotent elements in a π-regular ring R is an ideal of R if and only if R/J(R) is abelian, where J(R) is ...
Weixing Chen
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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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Regular ideal over endomorphisms ring [PDF]
مجلة جامعة الانبار للعلوم الصرفة, 2012 In this work we review a number of, well-know results which deal with conditions that make (homomorphism ring of commutative Ideal which is the aim at this work . Prof. S.H. Cox JR has studied these results in addition to Prof. Wezlman , first of all. We
Muthana A. Mahmood
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Trivial Extension of π-Regular Rings [PDF]
Engineering and Technology Journal, 2016 In this paper we investigate if it is possible that the trivial extension ring T(R,R) inherit the properties of the ring R and present the relationship between the trivial extension T(R,M) of a ring R by an R-module M and theπ-regularity of Rby taking ...
Areej M. Abduldaim
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On Strongly – Regular Rings [PDF]
مجلة التربية والعلم, 2009 The main goal of the work is to study a strongly -regular rings, which was introduce by Mohammad A. J. and Salih. S. M. in (2006). That is, a ring R is said to be strongly -regular if for every a R there exists bR and a positive integer n≠1 such ...
Baida S. Abdullah
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PRESIMPLIFIABLE AND WEAKLY PRESIMPLIFIABLE RINGS
Barekeng, 2023 Let be a commutative ring with identity. Two elements and b in are called to be associates if and , or equivalently, if . The generalization of associate relation in R has given the idea for definitions of presimplifiable and weakly presimplifiable
Deby Anastasya, Sri Wahyuni
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Regular divisor graph of finite commutative ring
Tikrit Journal of Pure Science, 2023 Let R be a finite commutative ring with identity 1. We introduce a new graph called regular divisor graph and denoted by . We classify the finite commutative ring to get a special graph and we are going to study some properties of this graph, clique ...
Payman Abbas Rashid, Hataw Saleem Rashid
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Stable range conditions for abelian and duo rings
Математичні Студії, 2022 The article deals with the following question: when does the classical ring of quotients of a duo ring exist and idempotents in the classical ring of quotients $Q_{Cl} (R)$ are there idempotents in $R$?
A. A. Dmytruk +2 more
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∗-Regularity in the ring of matrices over the ring of integers modulo 𝑛 [PDF]
Songklanakarin Journal of Science and Technology (SJST), 2023 For any positive integer 𝑛 ≥ 2, we give necessary and sufficient conditions of the existence of the Moore-Penrose inverse of any square matrix over the ring of integers modulo 𝑛.
Wannisa Apairat, Sompong Chuysurichay
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