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Varieties of *-regular rings [PDF]
Mathematica Slovaca, 2019 Given a subdirectly irreducible *-regular ring R, we show that R is a homomorphic image of a regular *-subring of an ultraproduct of the (simple) eRe, e in the minimal ideal of R; moreover, R (with unit) is directly finite if all eRe are unit-regular ...
Herrmann, Christian
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Al-Rafidain Journal of Computer Sciences and Mathematics, 2008 The main purpose of this paper is to study CS-rings. We give some properties of right CS-rings and the connection between such rings and reduced rings, regular rings, strongly regular rings, and S-weakly regular rings.
Anas Youns AL-Mashhdanny +1 more
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Al-Rafidain Journal of Computer Sciences and Mathematics, 2023 If for any maximal right ideal P of B and a ∈ N(B) ,aB/ aP is almost N-injective, then a ring B is said to be right generalized almost N-injective.
Hazim Hazim, Raida Mahmood
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Al-Rafidain Journal of Computer Sciences and Mathematics, 2004 A ring R is called a right dual ring if rl(T) = T for all right ideals T of R. The main purpose of this paper is to develop some basic properties of dual rings and to give the connection between dual rings, regular rings and strongly regular rings.
Nazar Shuker, Rani Younis
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GENERALIZATION OF VON-NEUMANN REGULAR RINGS TO VON-NEUMANN REGULAR MODULES
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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Von Neumann Regular McCoy Rings [PDF]
Journal of Sciences, Islamic Republic of Iran, 2021 A ring R is said to be right McCoy, if for every f(x),g(x) in the polynomial ring R[x], with f(x)g(x)=0 there exists a nonzero element cϵR with f(x)c=0. In this note, we show that von Neumann regular McCoy rings are abelian. This gives a positive
Masoome Zahiri
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Al-Rafidain Journal of Computer Sciences and Mathematics, 2013 As a generalization of right injective rings, we introduce the nation of right injective rings, that is for any right nonsingular element of R, there exists a positive integer and and any right - homomorphism , there exists such that for all .
Raida Mahmood, Shahla Khalil
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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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Al-Rafidain Journal of Computer Sciences and Mathematics, 2012 As a generalization of regular rings, we introduce the notion, of m-regular rings, that is for all , there is a fixed positive integer m such that is a Von-Neumann regular element. Some characterization and basic properties of these rings will be given.
Zubayda Ibraheem, Maha Khalaf
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Al-Rafidain Journal of Computer Sciences and Mathematics, 2007 The purpose of this paper is to study a new class of rings R in which, for each a Î R, aÎ aR aR, for some positive integer n. Such rings are called sp-weakly regular rings and give some of their basic properties as well as the relation between sp-weakly
Raida Mahmood, Abdullah Abdul-Jabbar
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