Results 21 to 30 of about 182,974 (268)
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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Strongly Semiunits and Tri-Regular Elements in Rings [PDF]
In this paper we study semiunit elements in the group ring Z2G, where G is a cyclic group and we introduce and discuss strongly semiunit elements in Zn, for n=p, 2p, p2 where p is an odd prime.
Parween Ali Hummadi , Suham Hamad Awla
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On P-Injective Modules And Ɣ-Regular Rings [PDF]
The main purpose of this paper is to study Ɣ-regular rings, and the connection between such rings and weakly regular, π-regular, strongly π-regular, semi π-regular and SNI-rings. We also study P-injective modules, and to find it's relation with Ɣ-regular
Baida S. Abdullah
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PRESIMPLIFIABLE AND WEAKLY PRESIMPLIFIABLE RINGS
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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Boolean Rings Based On Multirings [PDF]
The purpose of this paper is to construct Boolean rings from multirings. In this regards, a method to construct a multigroup(multiring) on a given non-empty set, are introduced and its properties has been investigated.
Reza Ameri +2 more
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Rings Over Which Certain Modules Are YJ-Injective [PDF]
In this paper we continue to study the concept of YJ-injectivity which was first introduced by Ming in 1985. Furthermore, we give some characterizations and properties for it.
Abdullah M. Abdul-Jabbar
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Linear codes and cyclic codes over finite rings and their generalizations: a survey
We survey a recent progress of cyclic codes over finite rings and their generalization to skew cyclic as well as skew cyclic codes with derivation over finite rings, focusing on structural properties of the codes.
Djoko Suprijanto
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GENERALIZATION OF VON-NEUMANN REGULAR RINGS TO VON-NEUMANN REGULAR MODULES
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, S. Wahyuni
semanticscholar +1 more source
On SSAGP-injective Rings [PDF]
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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Strongly Regular Extensions of Rings [PDF]
As defined by Arens and Kaplansky [2] a ring A is strongly regular (s.r.) in case to each a∊ A there corresponds x = xa ∊A depending on a such that a 2 x = a. In the present article a ring A is defined to be a s.r.
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