Characterization of rings using finite-direct-injective modules
… right R-module is finite-direct-injective and with this characterization, we provide another
example of a finite-direct-injective module which is not a direct-injective module in Remark 2.1. …
example of a finite-direct-injective module which is not a direct-injective module in Remark 2.1. …
[PDF][PDF] Finite-direct-injective modules
… need not be finite-direct-injective. Also, we give a sufficient condition for a finite-direct-injective
module to be … We also find a condition under which C3-modules are finite-direct-injective. …
module to be … We also find a condition under which C3-modules are finite-direct-injective. …
Pure-direct-injective modules
… In this paper, we study the class of modules having the property … module then the pure
submodule is itself a direct summand. These modules are termed as pure-direct-injective modules …
submodule is itself a direct summand. These modules are termed as pure-direct-injective modules …
[PDF][PDF] Euler Characteristic and Injective Modules
A Pannerselvam, M Parasakthi - core.ac.uk
… are associative rings with unity and all modules are unitary right modules. Y. Utumi in a …
and subsequently extended to modules. A module is called finite direct injective if every finitely …
and subsequently extended to modules. A module is called finite direct injective if every finitely …
[引用][C] Finite direct projective modules
S Gupta, AJ Gupta - Asian-European Journal of Mathematics, 2023 - World Scientific
… et al. introduced finite-direct-injective modules. A module M is called a finite-direct-injective
module if … Motivated by the above concepts we dualize the idea of finite-direct-injective mod- …
module if … Motivated by the above concepts we dualize the idea of finite-direct-injective mod- …
On Finite-direct-injective modules
… A module M is called a Finite-direct-injective module if every finitely generated submodule
of M isomorphic to a direct summand of M is itself a direct summand of M. It is a generalization …
of M isomorphic to a direct summand of M is itself a direct summand of M. It is a generalization …
Generalization of direct injective modules
SK MAURYA - … Faculty of Sciences and Technology of …, 2017 - icaa2017fste.sciencesconf.org
… C2) modules to finite direct injective modules. Some properties of finite direct injective modules
… We show that direct summand of finite direct injective modules inherits the property, while …
… We show that direct summand of finite direct injective modules inherits the property, while …
Going relative with Maurice—a survey
Ø Solberg - Surveys in representation theory of algebras, 2018 - books.google.com
… cotilting modules have so-called dualizing direct summands they are constructed from relative
cotilting modules, and we recall how this lead to the notion of n-precluster tilting modules …
cotilting modules, and we recall how this lead to the notion of n-precluster tilting modules …