Results 11 to 20 of about 1,129,791 (207)

AGQP-Injective Modules [PDF]

International Journal of Mathematics and Mathematical Sciences, 2008
Let 𝑅 be a ring and let 𝑀 be a right 𝑅-module with 𝑆 = End(𝑀𝑅). 𝑀 is called almost general quasi-principally injective (or AGQP-injective for short) if, for any 0≠𝑠∈𝑆, there exist a positive integer 𝑛 and a left ideal 𝑋𝑠𝑛 of 𝑆 such that 𝑠𝑛≠0 and 𝐥𝑆(Ker ...
Zhanmin Zhu, Xiaoxiang Zhang
doaj   +2 more sources

Rings whose quasi-injective modules are injective [PDF]

Proceedings of the American Mathematical Society, 1972
A ring R is called a V-ring, respectively SSI-ring, respectively QII-ring if simple, respectively semisimple, respectively quasi-injective, right R -modules are injective. We show that R is SSI if and only if
K. A. Byrd
openaire   +2 more sources

On rings whose quasi-injective modules are injective or semisimple

Journal of Algebra and Its Applications, 2021
Two obvious classes of quasi-injective modules are those of semisimples and injectives. In this paper, we study rings with no quasi-injective modules other than semisimples and injectives. We prove that such rings fall into three classes of rings, namely, (i) QI-rings, (ii) rings with no middle class, or (iii) rings that decompose into a direct ...
SARAÇ, BÜLENT
openaire   +4 more sources

Characterizations of rings and modules by means of lattices [PDF]

, 1965
PhDIn this thesis we study the relationship between the lattice of submodules and the algebraic structure of a module. The key remark in our study will be the fact that the homomorphisms between two independent submadules of a module can be ...
Stephenson, W.
core   +4 more sources

FP-GR-INJECTIVE MODULES [PDF]

, 2011
In this paper, we give some characterizations of FP-grinjective R-modules and graded right R-modules of FP-gr-injective dimension at most n. We study the existence of FP-gr-injective envelopes and FP-gr-injective covers.
Yang, Xiaoyan, Liu, Zhongkui
core   +1 more source

Relative injectivity and CS-modules

International Journal of Mathematics and Mathematical Sciences, 1994
In this paper we show that a direct decomposition of modules M⊕N, with N homologically independent to the injective hull of M, is a CS-module if and only if N is injective relative to M and both of M and N are CS-modules. As an application, we prove that
Mahmoud Ahmed Kamal
doaj   +1 more source

Convexity in quasi-metric spaces [PDF]

, 2012
Includes abstract.Includes bibliographical references.The principal aim of this thesis is to investigate the existence of an injective hull in the categories of T-quasi-metric spaces and of T-ultra-quasi-metric spaces with nonexpansive ...
Otafudu, Olivier Olela
core   +1 more source

Some torsion theoretical characterizations of rings

International Journal of Mathematics and Mathematical Sciences, 1984
Rings whose torsion free modules are quasi-injective, quasi-projective or coflat have been characterized in the context of certain torsion theories.
Javed Ahsan
doaj   +1 more source

Hyperconvexity and endpoints in T₀-quasi-metric spaces [PDF]

, 2013
Over the last decades much progress has been made in the investigation of hyperconvexity in metric spaces. Recently Kemajou and others have published an article concerning hyperconvexity in T₀-quasi-metric spaces.
Haihambo, Paulus
core   +1 more source

Atomic Quasi-Injective Modules

Kyoto Journal of Mathematics, 1963
This note is a slight addition to a paper of \textit{R. E. Johnson} and the author [J. Lond. Math. Soc. 36, 260--268 (1961; Zbl 0103.02203)]. Let \(_RM\) be a quasi-injective module with zero singular submodule. Let \(K = \Hom_R(M, M)\). By the above paper, \(K = \Hom_R(\overline M, \overline M)\), where \(\overline M\) is the injective hull of \(M ...
openaire   +3 more sources