[引用][C] Almost projective modules
M Harada - Journal of Algebra, 1993 - Elsevier
We studied almost relative projective modules and almost relative injective modules in [3, 6,
7]. In this short note we define a new module, an almost projective (resp. almost injective) …
7]. In this short note we define a new module, an almost projective (resp. almost injective) …
Projectivity relative to closed (neat) submodules
Y Durğun - Journal of Algebra and Its Applications, 2022 - World Scientific
An R-module F is called closed (neat) projective if, for every closed (neat) submodule L of
every R-module M, every homomorphism from F to M/L lifts to M. In this paper, we study …
every R-module M, every homomorphism from F to M/L lifts to M. In this paper, we study …
Injectivity of quasi-projective modules, projectivity of quasi-injective modules, and projective cover of injective modules
Y Baba - Journal of Algebra, 1993 - Elsevier
In [KR Fuller, on indecomposable injectives over artinian rings, Pacific J. Math. 29 (1969),
115-135, Theorem 3.1] KR Fuller gave necessary and sufficient conditions for projective left …
115-135, Theorem 3.1] KR Fuller gave necessary and sufficient conditions for projective left …
[PDF][PDF] On almost relative injectives on Artinian modules
M Harada - 1990 - projecteuclid.org
We have introduced a concept of almost relative projectives (resp. injectives) in [7](resp.[2])
which is deeply related with lifting modules [9](resp. extending modules [10]). When we …
which is deeply related with lifting modules [9](resp. extending modules [10]). When we …
Simple-direct-projective modules
In this paper, we introduce and study the dual notion of simple-direct-injective modules.
Namely, a right R-module M is called simple-direct-projective if, whenever A and B are …
Namely, a right R-module M is called simple-direct-projective if, whenever A and B are …
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 …
Notes, 2018, Vol. 103, No. 1, pp. 3–17. © Pleiades Publishing, Ltd., 2018. Original Russian …
Weakly projective and weakly injective modules
SK Jain, SR López-Permouth, K Oshiro… - Canadian Journal of …, 1994 - cambridge.org
A module M is said to be weakly N-projective if it has a projective cover π: P (M)↠ M and for
each homomorphism: P (M)→ N there exists an epimorphism σ: P (M)↠ M such that (kerσ) …
each homomorphism: P (M)→ N there exists an epimorphism σ: P (M)↠ M such that (kerσ) …
Two characterizations of pure injective modules
K Divaani-Aazar, M Esmkhani, M Tousi - Proceedings of the American …, 2006 - ams.org
Let $ R $ be a commutative ring with identity and $ D $ an $ R $-module. It is shown that if $
D $ is pure injective, then $ D $ is isomorphic to a direct summand of the direct product of a …
D $ is pure injective, then $ D $ is isomorphic to a direct summand of the direct product of a …
On simple-injective modules
Y Alagöz, S Benli̇-Göral… - Journal of Algebra and its …, 2023 - World Scientific
For a right module M, we prove that M is simple-injective if and only if M is min-N-injective for
every cyclic right module N. The rings whose simple-injective right modules are injective are …
every cyclic right module N. The rings whose simple-injective right modules are injective are …