Modules close to SSP-and SIP-modules

THN Nhan, AA Nailevich, TC Quynh - 2017 - dspace.kpfu.ru
In this paper, we investigate some properties of SIP, SSP and CS-Rickart modules. We give
equivalent conditions for SIP and SSP modules; establish connections between the class of …

Modules close to SSP-and SIP-modules

AN Abyzov, THN Nhan, TC Quynh - Lobachevskii Journal of Mathematics, 2017 - Springer
In this paper, we investigate some properties of SIP, SSP and CS-Rickart modules. We give
equivalent conditions for SIP and SSP modules; establish connections between the class of …

[PDF][PDF] Modules close to SSP-and SIP-modules

AA Nailevich, THN Nhan, TC Quynh - arXiv preprint arXiv …, 2016 - academia.edu
In this paper, we investigate some properties of SIP, SSP and CS-Rickart modules. We give
equivalent conditions for SIP and SSP modules; establish connections between the class of …

Modules close to SSP-and SIP-modules

A Adel, THN Nhan, TC Quynh - arXiv preprint arXiv:1609.06788, 2016 - arxiv.org
In this paper, we investigate some properties of SIP, SSP and CS-Rickart modules. We give
equivalent conditions for SIP and SSP modules; establish connections between the class of …

CS-Rickart modules

T Nhan, A Abyzov - dspace.kpfu.ru
© 2014, Pleiades Publishing, Ltd. In this paper, we introduce and study the concept of CS-
Rickart modules, that is a module analogue of the concept of ACS rings. A ring R is called a …

CS-Rickart modules

AN Abyzov, THN Nhan - Lobachevskii Journal of Mathematics, 2014 - Springer
In this paper, we introduce and study the concept of CS-Rickart modules, that is a module
analogue of the concept of ACS rings. A ring R is called a right weakly semihereditary ring if …

[引用][C] SSP rings and modules

T Nhan, A Abyzov, T Quynh - dspace.kpfu.ru
© World Scientific Publishing Company. We study A-Ci modules (i= 2, 3), first introduced in
[K. Oshiro, Continuous modules and quasi-continuous modules, Osaka J. Math. 20 (1983) …

SSP rings and modules

AN Abyzov, TC Quynh, THN Nhan - Asian-European Journal of …, 2016 - World Scientific
We study 𝒜-Ci modules (i= 2, 3), first introduced in [K. Oshiro, Continuous modules and
quasi-continuous modules, Osaka J. Math. 20 (1983) 681–694], and 𝒜-SSP modules. We …

SIP-direct-injective Modules and Rings

Ö Taşdemir - Nurettin DOĞAN - theicmme.org
Recall that a module M over a ring is called a direct-injective module (or C2-module) if every
submodule of M is isomorphic to a direct summand of M, then it is a direct summand of M. A …

On some classes of artinian rings

D Van Huynh, ST Rizvi - Journal of Algebra, 2000 - Elsevier
A module M is called a CS-module if every submodule of M is essential in a direct summand
of M. A ring R is called CS-semisimple if every right R-module is CS. For a ring R, we show …