Finitely projective modules over a Dedekind domain
VA Hiremath - Journal of the Australian Mathematical Society, 1978 - cambridge.org
As dual to the notion of “finitely injective modules” introduced and studied by Ramamurth
and Rangaswamy (1973), we define a right R-module M to be finitely projective if it is …
and Rangaswamy (1973), we define a right R-module M to be finitely projective if it is …
[PDF][PDF] Quasi-injective modules with acc or dcc on essential submodules
NV Dung, DV Huynh, R Wisbauer - Arch. Math, 1989 - academia.edu
In this paper modules with ascending chain condition (acc)(respectively, with descending
chain conditon (dcc)) on essential submodules are investigated: Finitely generated quasi …
chain conditon (dcc)) on essential submodules are investigated: Finitely generated quasi …
Subprojectivity in abelian categories
In the last few years, López-Permouth and several collaborators have introduced a new
approach in the study of the classical projectivity, injectivity and flatness of modules. This …
approach in the study of the classical projectivity, injectivity and flatness of modules. This …
[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) …
Quasi-projective and quasi-injective modules
A Koehler - Pacific J. Math, 1971 - msp.org
M commutes. The first section of this paper contains results which are needed to prove a
decomposition theorem for quasi-projective modules over left perfect rings (Theorem 1.10) …
decomposition theorem for quasi-projective modules over left perfect rings (Theorem 1.10) …
Subprojectivity domains of pure-projective modules
Y Durğun - Journal of Algebra and its Applications, 2020 - World Scientific
In a recent paper, Holston et al. have defined a module M to be N-subprojective if for every
epimorphism g: B→ N and homomorphism f: M→ N, there exists a homomorphism h: M→ B …
epimorphism g: B→ N and homomorphism f: M→ N, there exists a homomorphism h: M→ B …
A characterization of semi-perfect rings and modules
G Azumaya - Ring Theory, 1993 - books.google.com
The notion of generalized projective covers Is Introduced to give a natural generalization of
a theorem of Bass on perfect rings. Moreover, In terms of this notion, some characterizations …
a theorem of Bass on perfect rings. Moreover, In terms of this notion, some characterizations …
Rings whose modules have maximal or minimal subprojectivity domain
Y Durğun - Journal of Algebra and Its Applications, 2015 - World Scientific
Given modules M and N, M is said to be N-subprojective if for every epimorphism g: B→ N
and homomorphism f: M→ N, there exists a homomorphism h: M→ B such that gh= f. For a …
and homomorphism f: M→ N, there exists a homomorphism h: M→ B such that gh= f. For a …
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 …
Dedekind modules
M Alkan, B Saraç, Y Tiraş - Communications in Algebra, 2005 - Taylor & Francis
In this paper, the authors introduce the concept of integrally closed modules and
characterize Dedekind modules and Dedekind domains. They also show that a given …
characterize Dedekind modules and Dedekind domains. They also show that a given …