(Co) retractability and (Co) Semi-potency

HI Hakmi - Korean Journal of Mathematics, 2017 - kkms.org
This paper is a continuation of study semi-potentness endomorphism rings of module. We
give some other characterizations of endomorphism ring to be semi-potent. New results are …

[PDF][PDF] Cofinitely δM− Supplemented and Cofinitely δM− Semiperfect Modules

AO Alattass - International Journal of Algebra, 2011 - m-hikari.com
Cofinitely δM−Supplemented and Cofinitely δM−Semiperfect Modules 1 Introduction Page 1
International Journal of Algebra, Vol. 5, 2011, no. 32, 1575 - 1588 Cofinitely δM−Supplemented …

Quasi-small P-injective Modules

S Wongwai - Progress in Applied Science and Technology, 2011 - ph02.tci-thaijo.org
Quasi-small P-injective Modules | Progress in Applied Science and Technology Main
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Pure-direct-projective modules

R Alizade, SE Toksoy - Journal of Algebra and Its Applications, 2024 - World Scientific
In this paper, we introduce and study the pure-direct-projective modules, that is the modules
M every pure submodule A of which with M/A isomorphic to a direct summand of M is a direct …

[引用][C] On quasi-injective modules over Noetherian rings

S Alamelu - The Journal of the Indian Mathematical Society, 1975

[HTML][HTML] Simple-direct-injective modules

V Camillo, Y Ibrahim, M Yousif, Y Zhou - Journal of algebra, 2014 - Elsevier
A module M over a ring is called simple-direct-injective if, whenever A and B are simple
submodules of M with A≅ B and B⊆⊕ M, we have A⊆⊕ M. Various basic properties of …

Characterization of rings using extending and lifting modules

N Vanaja - Ring Theory, 1993 - World Scientific
H-rings and Co-H-rings have been defined by K. Oshiro in [9]. A ring R is a right H-ring (Co-
H-ring) iff every injective (projective) right R-module is lifting (extending). A right H-ring or a …

Almost relative injective modules

S Singh - 2016 - projecteuclid.org
The concept of a module M being almost N-injective, where N is some module, was
introduced by Baba (1989). For a given module M, the class of modules N, for which M is …

[PDF][PDF] Matlis injective modules

H Yan - Bulletin of the Korean Mathematical Society, 2013 - Citeseer
In this paper, Matlis injective modules are introduced and studied. It is shown that every R-
module has a (special) Matlis injective preenvelope over any ring R and every right R …

Almost projective and almost injective modules

AN Abyzov - Mathematical Notes, 2018 - Springer
Almost Projective and Almost Injective Modules Page 1 ISSN 0001-4346, Mathematical
Notes, 2018, Vol. 103, No. 1, pp. 3–17. © Pleiades Publishing, Ltd., 2018. Original Russian …