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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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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, 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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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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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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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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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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On n-Weakly Regular Rings [PDF]
Al-Rafidain Journal of Computer Sciences and Mathematics, 2012 As a generalization of right weakly regular rings, we introduce the notion of right n-weakly regular rings, i.e. for all aN(R), aaRaR. In this paper, first give various properties of right n-weakly regular rings.
Raida Mahammod, Mohammed Al-Neimi
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Al-Rafidain Journal of Computer Sciences and Mathematics, 2010 The purpose of this paper is to study the rings in which every maximal (essential) right ideal is a left GP- ideal. Such rings will be called right MGP- rings (EGP- rings).
Raida Mahmood, Shahla Khalil
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