Results 11 to 20 of about 51,002 (217)
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
doaj +1 more source
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
doaj +1 more source
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
doaj +1 more source
On P-Injective Modules And Ɣ-Regular Rings [PDF]
مجلة التربية والعلم, 2012 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
doaj +1 more source
Rings Over Which Certain Modules Are YJ-Injective [PDF]
Kirkuk Journal of Science, 2009 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
doaj +1 more source
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
doaj +1 more source
Maximal Generalization of Pure Ideals [PDF]
Al-Rafidain Journal of Computer Sciences and Mathematics, 2008 The purpose of this paper is to study the class of the rings for which every maximal right ideal is left GP-ideal. Such rings are called MGP-rings and give some of their basic properties as well as the relation between MGP-rings, strongly regular ring ...
Raida Mahmood, Awreng Mahmood
doaj +1 more source
A Gorenstein criterion for strongly F-regular and log terminal singularities [PDF]
, 2017 A conjecture of Hirose, Watanabe, and Yoshida offers a characterization of when a standard graded strongly $F$-regular ring is Gorenstein, in terms of an $F$-pure threshold. We prove this conjecture under the additional hypothesis that the anti-canonical
Singh, A., Takagi, S., Varbaro, M.
core +3 more sources
On Rings whose Maximal Essential Ideals are Pure [PDF]
Al-Rafidain Journal of Computer Sciences and Mathematics, 2007 This paper introduces the notion of a right MEP-ring (a ring in which every maximal essential right ideal is left pure) with some of their basic properties; we also give necessary and sufficient conditions for MEP – rings to be strongly regular rings and
Raida Mahmood, Awreng Mahmood
doaj +1 more source
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
doaj +1 more source