Direct sums of hollow-lifting modules
Y Wang, D Wu - Algebra Colloquium, 2012 - World Scientific
A module M over a ring R is called hollow-lifting if every submodule N of M with M/N hollow
contains a direct summand K of M such that N/K is a small submodule of M/K. It is known that …
contains a direct summand K of M such that N/K is a small submodule of M/K. It is known that …
Rad-discrete modules
BN Türkmen, HH Ökten, E Türkmen - Bulletin of the Iranian Mathematical …, 2021 - Springer
We introduce Rad-discrete and quasi-Rad-discrete modules as a proper generalization of
(quasi) discrete modules, and provide various properties of these modules. We prove that a …
(quasi) discrete modules, and provide various properties of these modules. We prove that a …
On conatural classes and cotype submodules
A Alvarado-García, HA Rincón-Mejía… - … Electronic Journal of …, 2012 - dergipark.org.tr
ON CONATURAL CLASSES AND COTYPE SUBMODULES Alejandro Alvarado-Garcıa, Hugo
Alberto Rincón-Mejıa, José Rıos-Montes and Berth Page 1 International Electronic Journal of …
Alberto Rincón-Mejıa, José Rıos-Montes and Berth Page 1 International Electronic Journal of …
Goldie*-补模的推广
杨素云， 吴俊， 刘少然 - 安徽师范大学学报: 自然科学版, 2016 - cqvip.com
作为Goldie*-补模的推广, 本文引入了主Goldie*-补模. 称模M 是主Goldie*-补模(主G*-补模),
如果对M 的任意循环子模X, 存在M 的补子模Y, 使得(X+ Y)/X<< M/X 且(X+ y)/y<< M/Y …
如果对M 的任意循环子模X, 存在M 的补子模Y, 使得(X+ Y)/X<< M/X 且(X+ y)/y<< M/Y …
Weakly injective and weakly projective modules versus extending and lifting modules
A Alhalawa, Arwa - Diss. Birzeit University, 2013 - platform.almanhal.com
In this thesis, we will study the relations between weakly injective, weakly projective versus
extending and lifting modules and its generalization. Mainly, we study rings over which …
extending and lifting modules and its generalization. Mainly, we study rings over which …
Cofinitely Semisimple (ss-) Lifting Modules
F Eryılmaz - Yüzüncü Yıl Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 2023 - dergipark.org.tr
An $ P-$ module $ N $ is named cofinitely semisimple lifting or briefly cofinitely $ ss-$ lifting
if for each cofinite submodule $ S $ of $ N $, $ N $ has a decomposition $ N= U'\oplus V …
if for each cofinite submodule $ S $ of $ N $, $ N $ has a decomposition $ N= U'\oplus V …
[PDF][PDF] Duality of St-closed submodules and semi-extending modules
MA Ahmed - Ital. J. Pure Appl. Math, 2020 - researchgate.net
The main goal of this paper is to dualize the two concepts St-closed submodule and semi-
extending module which were given by Ahmed and Abbas in 2015. These dualizations are …
extending module which were given by Ahmed and Abbas in 2015. These dualizations are …
[PDF][PDF] On a generalization of small submodule
W Khalid, EM Kamil - Sci. Int. Lahore, 2018 - researchgate.net
ON A GENERALIZATION OF SMALL SUBMODULES Page 1 Sci.Int.(Lahore),30(3),359-365
,2018 ISSN 1013-5316; CODEN,SINTE 8 359 May-June ON A GENERALIZATION OF SMALL …
,2018 ISSN 1013-5316; CODEN,SINTE 8 359 May-June ON A GENERALIZATION OF SMALL …
[PDF][PDF] FI--J-supplemented modules
A Ali, W Khalid - Iraqi Journal of Science, 2021 - iasj.net
A Module M is called cofinite J-Supplemented Module if for every cofinite submodule L of M,
there exists a submodule N of M such that M= L+ N with main properties of cof-J …
there exists a submodule N of M such that M= L+ N with main properties of cof-J …