نتایج جستجو برای: almost injective modules

تعداد نتایج: 259318  

Journal: :Pacific Journal of Mathematics 1992

Journal: :bulletin of the iranian mathematical society 2011
e. momtahan

we show that every semi-artinian module which is contained in a direct sum of finitely presented modules in $si[m]$, is weakly co-semisimple if and only if it is regular in $si[m]$. as a consequence, we observe that every semi-artinian ring is regular in the sense of von neumann if and only if its simple modules are $fp$-injective.

2011
EDGAR E. ENOCHS ZHAOYONG HUANG

The principle “Every result in classical homological algebra should have a counterpart in Gorenstein homological algebra” was given by Henrik Holm. There is a remarkable body of evidence supporting this claim. Perhaps one of the most glaring exceptions is provided by the fact that tensor products of Gorenstein projective modules need not be Gorenstein projective, even over Gorenstein rings. So ...

Journal: :Journal of the Korean Mathematical Society 2006

Journal: :Ukrainian Mathematical Journal 2014

Journal: :International Journal of Health Sciences (IJHS) 2022

A New generalization of injective semimodule has been presented in this working paper. An Ȑ-semimodule Ӎ is called almost self-injective, if Ӎ-injective semimodule. Some properties notion have presented. The relationship concept to some concepts also clarified as End (Ȑ) indecomposable self-injective semimodules, Rad related notions it studied.

Journal: :Proceedings of the American Mathematical Society 1972

Journal: :Journal of the Mathematical Society of Japan 1965

Journal: :Hacettepe journal of mathematics and statistics 2021

The notion of simple-direct-injective modules which are a generalization injective unifies $C2$ and $C3$-modules. In the present paper, we introduce semisimple-direct-injective module gives unified viewpoint $C2$, $C3$, SSP properties modules. It is proved that ring $R$ Artinian serial with Jacobson radical square zero if only every right $R$-module has and, for any family simple $R$-modules $\...

Journal: :journal of algebra and related topics 2013
r. ovlyaee s. maleki-roudposhti

$r$-module. in this paper, we explore more properties of $max$-injective modules and we study some conditions under which the maximal spectrum of $m$ is a $max$-spectral space for its zariski topology.

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