A note on -projective modules, II
T Takeuchi - 1984 - projecteuclid.org
In the previous no. te [7], we characterized" weakly" M-projective modules over a left PF ring.
In the present note, we study another type of" weakly" M-projective modules with a finiteness …
In the present note, we study another type of" weakly" M-projective modules with a finiteness …
-projective and strongly -projective modules
K Varadarajan - Illinois Journal of Mathematics, 1976 - projecteuclid.org
Given a module M over a ring R, G. Azumaya [1] introduced the dual notions of M-projective
and M-injective modules. These concepts have actually led MS Shrikhande to a study of …
and M-injective modules. These concepts have actually led MS Shrikhande to a study of …
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 hereditary and cohereditary modules
MS Shrikhande - Canadian Journal of Mathematics, 1973 - cambridge.org
A recent paper by Goro Azumaya on M-projective and M-injective modules [1] suggests a
generalization of the concept of hereditary rings to modules which is also capable of …
generalization of the concept of hereditary rings to modules which is also capable of …
Locally pure-projective modules
G Azumaya - Contemp. Math, 1992 - books.google.com
A module is called locally pure-projective if every pure epimor-phism onto it is locally split.
We prove that every locally pure-projective module is a Mittag-Leffler module. We derive …
We prove that every locally pure-projective module is a Mittag-Leffler module. We derive …
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) …
A note on endomorphism rings of semi-projective modules
DK Tütüncü, SE Toksoy, R Tribak - Mathematical Proceedings of the …, 2012 - muse.jhu.edu
A right module M is called semi-projective if for every epimorphism α from M to a submodule
N of M and a homomorphism β from M to N, there exists a homomorphism γ from M to M with …
N of M and a homomorphism β from M to N, there exists a homomorphism γ from M to M with …
Rings related to S-projective modules
Z Zhu - Bulletin mathématique de la Société des Sciences …, 2019 - JSTOR
Let R be a ring and 𝑆 be a class of some finitely generated left R-modules. Then a left R-
module M is called 𝑆-projective if for every homomorphism f: S→ M, where S∈ 𝑆, there exist …
module M is called 𝑆-projective if for every homomorphism f: S→ M, where S∈ 𝑆, there exist …
[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 …
[PDF][PDF] N () TE () N STR () NGLY M. INJECTIVE MODULES
S Morimoto - Math. J. Okayama Univ, 1983 - math.okayama-u.ac.jp
Given a unitary left module M over a ring R with identity, G. Azumaya| 1|| introduced the
useful notion of M-projective and M-injective modules; the notion of a strongly M-projective …
useful notion of M-projective and M-injective modules; the notion of a strongly M-projective …