Mixed injective modules

DK Tütüncü, SH MOHAMED… - Glasgow Mathematical …, 2010 - cambridge.org
MIXED INJECTIVE MODULES Page 1 Glasgow Math. J. 52A (2010) 111–120. C Glasgow
Mathematical Journal Trust 2010. doi:10.1017/S0017089510000182. MIXED INJECTIVE …

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 …

On J–Lifting Modules

A Kabban, W Khalid - Journal of Physics: Conference Series, 2020 - iopscience.iop.org
Let R be a ring with identity and M is a unitary left R–module. M is called J–lifting module if
for every submodule N of M, there exists a submodule K of N such that ${\rm {M}}={\rm …

-supplemented modules with respect to a preradical

Y Talebi, AR Moniri Hamzekolaei… - Algebra and Discrete …, 2011 - mathnet.ru
Let M be a right R-module and τ a preradical. We call M τ-H-supplemented if for every
submodule A of M there exists a direct summand D of M such that (A+ D)/D⊆ τ (M/D) and …

Correspondences of coclosed submodules

S Crivei, H Inankıl, MT Koşan… - Communications in …, 2013 - Taylor & Francis
We establish an order-preserving bijective correspondence between the sets of coclosed
elements of some bounded lattices related by suitable Galois connections. As an …

On cofinitely lifting and cofinitely weak lifting modules

R Tribak - Communications in Algebra®, 2008 - Taylor & Francis
We say that a module M is lifting if M is amply supplemented and every supplement
submodule of M is a direct summand. The module M is called cofinitely lifting if it is amply …

[PDF][PDF] Morita 系统环上的一致模和Hollow 模

张文汇, 张丽 - 吉林大学学报(理学版), 2019 - xuebao.jlu.edu.cn
Morita系统环上的一致模和Hollow模 Page 1 第57卷第4期 吉林大学学报(理学版) Vol.57 No.4
2019年7月 JournalofJilinUniversity(ScienceEdition) July 2019 doi:10.13413/j.cnki.jdxblxb.2018320 …

Direct sum of various generalizations of -lifting modules

LK Das, MK Patel, KP Shum - Asian-European Journal of …, 2023 - World Scientific
In this work, hw-lifting modules, a special extension of h-lifting which is a further
generalization of lifting modules, are studied. Here, we observed that finite direct sum of hw …

[PDF][PDF] On generalized epi-projective modules

DK Tutuncu, Y Kuratomi - Math. J. Okayama Univ, 2010 - academia.edu
A module M is said to be generalized N-projective (or N-dual ojective) if, for any
epimorphism g: N→ X and any homomorphism f: M→ X, there exist decompositions M …

[PDF][PDF] Modules for which every non-cosingular submodule is a summand

Y Talebi, M Hosseinpour… - Bulletin of the Iranian …, 2017 - bims.iranjournals.ir
‎ A module $ M $ is lifting if and only if $ M $ is amply supplemented and‎‎ every coclosed
submodule of $ M $ is a direct summand‎.‎ In this paper‎,‎ we are‎‎ interested in a generalization …