Results 11 to 20 of about 16,976 (247)
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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Invariance and parallel sums [PDF]
Bulletin of Mathematical Sciences, 2020 In this paper, the notions of invariance and parallel sums as defined by Anderson and Duffin for matrices [Series and parallel addition of matrices, J. Math. Anal. Appl. 26 (1969) 576–594] are generalized to von Neumann regular rings.
Adel Alahmadi, S. K. Jain, André Leroy
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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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Al-Rafidain Journal of Computer Sciences and Mathematics, 2014 A ring R is called local ring if it has exactly one maximal ideal. In this paper, we introduce some characterization and basic properties of this ring. Also, we studied the relation between local rings and Von Neumann regular rings and strongly regular ...
Zubayda Ibraheem, Anees Fthee
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On Generalized Simple Singular AP-Injective Rings [PDF]
Al-Rafidain Journal of Computer Sciences and Mathematics, 2012 A ring R is said to be generalized right simple singular AP-injective, if for any maximal essential right ideal M of R and for any bÎM, bR/bM is AP-injective. We shall study the characterization and properties of this class of rings.
Raida Mahmood, Husam Mohammad
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On Rings Whose Simple Singular R-Modules Are Flat, I [PDF]
Al-Rafidain Journal of Computer Sciences and Mathematics, 2010 In this paper we investigate von Neumann regularity of rings whose simple singular right R-modules are flat. It is proved that a ring R is strongly regular if and only if R is a semiprime right quasi-duo ring whose simple singular right R-modules are ...
Raida Mahmood, Abdullah Abdul-Jabbar
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On Von Neumann Regular Rings [PDF]
Canadian Mathematical Bulletin, 1974 Recently, in the Research Problems of Canadian Mathematical Bulletin, Vol. 14, No. 4, 1971, there appeared a problem which asks “Is a prime Von Neumann regular ring pimitive?” While we are not able to settle this question one way or the other, we prove that in a Von Neumann regular ring, there is a maximal annihilator right ideal if and only if there ...
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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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Tikrit Journal of Pure Science, 2020 Let R be a commutative ring, the Pseudo – Von Neumann regular graph of the ring R is define as a graph whose vertex set consists of all elements of R and any two distinct vertices a and b are adjacent if and only if , this graph is denoted by P-VG(R ...
Nermen J. Khalel, Nabeel E. Arif
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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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