[PDF][PDF] Modules which are epi-equivalent to projective modules
GF Birkenmeier - Acta Universitatis Carolinae. Mathematica et Physica, 1983 - dml.cz
The purpose of this paper is to initiate the study of improjective modules. A module X is im-
projective if given any epimorphism/: B-> A and any homomorphism/: X-> A, there exists a …
projective if given any epimorphism/: B-> A and any homomorphism/: X-> A, there exists a …
Endomorphism rings of projective modules
R Ware - Transactions of the American Mathematical Society, 1971 - ams.org
The object of this paper is to study the relationship between certain projective modules and
their endomorphism rings. Specifically, the basic problem is to describe the projective …
their endomorphism rings. Specifically, the basic problem is to describe the projective …
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) …
Submodules of quasi-projective modules
J Ahsan - Communications in Algebra, 1981 - Taylor & Francis
Let R be a ring and M a fixed R-module. An R-module Q is called M-injective if, given a
monomorphism C $ of an R-module N into M, every homomorphism: N-+ Q can be extended …
monomorphism C $ of an R-module N into M, every homomorphism: N-+ Q can be extended …
On weakly projective modules
SK Jain, SR López-Permouth… - Ring Theory, Proceedings …, 1992 - World Scientific
ABSTRACT A module M Is said to be weakly projective If and only If It has a projective cover
11": P (M)--+ M and every map from P (M) Into a finitely generated (free) module can be …
11": P (M)--+ M and every map from P (M) Into a finitely generated (free) module can be …
A study on weakly projective modules.
MA Saleh - 1994 - elibrary.ru
The purpose of this dissertation is to study weakly projective modules, a concept dual to that
of weakly injective modules. Let M and N be right R-modules. M is called weakly N …
of weakly injective modules. Let M and N be right R-modules. M is called weakly N …
Endomorphism rings of infinitely generated projective modules
BR McDonald - Journal of Algebra, 1977 - Elsevier
Let RP be a projective R-module which is not finitely generated. Let E= End R (P). This
paper examines the structure of P as an E-module and relations between right ideals of R …
paper examines the structure of P as an E-module and relations between right ideals of R …
Characterization of rings using quasiprojective modules. III
JS Golan - Proceedings of the American Mathematical Society, 1972 - ams.org
A ring $ R $ is regular [completely reducible] if and only if the character module of every left
$ R $-module is quasi-injective [quasiprojective]. Submodules of quasiprojective left $ R …
$ R $-module is quasi-injective [quasiprojective]. Submodules of quasiprojective left $ R …
[PDF][PDF] Modules whose countably generated submodules are epimorphic images
OAS Karamzadeh - Colloquium Mathematicum, 1982 - infona.pl
Cukerman [2], Shanny [5], and Ware [7] have shown that a ring R is Artin semisimple if and
only if R has a nonfinitely generated free module with regular endomorphism ring. This …
only if R has a nonfinitely generated free module with regular endomorphism ring. This …
On semiperfect modules
WK Nicholson - Canadian Mathematical Bulletin, 1975 - cambridge.org
Sandomierski (Proc. AMS 21 (1969), 205–207) has proved that a ring is semiperfect if and
only if every simple module has a projective cover. This is generalized to semiperfect …
only if every simple module has a projective cover. This is generalized to semiperfect …