[PDF][PDF] Projective modules over simple regular rings
J Kado - 1979 - projecteuclid.org
Recently KR Goodearl and D. Handelman [6] have studied simple regular rings from the
point of view of dimension-like functions. They have shown that there exists a unique …
point of view of dimension-like functions. They have shown that there exists a unique …
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 …
[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 …
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] When every projective module is a direct sum of finitely generated modules
WW McGovern, G Puninski, P Rothmaler - Journal of Algebra, 2007 - core.ac.uk
When every projective module is a direct sum of finitely generated modules Page 1 Journal
of Algebra 315 (2007) 454–481 www.elsevier.com/locate/jalgebra When every projective …
of Algebra 315 (2007) 454–481 www.elsevier.com/locate/jalgebra When every 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) …
[PDF][PDF] When every finitely generated flat module is projective
G Puninski, P Rothmaler - Journal of Algebra, 2004 - core.ac.uk
When every finitely generated flat module is projective Page 1 Journal of Algebra 277 (2004)
542–558 www.elsevier.com/locate/jalgebra When every finitely generated flat module is …
542–558 www.elsevier.com/locate/jalgebra When every finitely generated flat module is …
Projective injective modules.
JP Jans - 1959 - msp.org
1. Introduction, In this paper we prove several theorems about rings having a generous
supply of projective injective modules. This is a curious class of rings. For instance, every …
supply of projective injective modules. This is a curious class of rings. For instance, every …
The structure of countably generated projective modules over regular rings
We prove that, for every regular ring R, there exists an isomorphism between the monoids of
isomorphism classes of finitely generated projective right modules over the rings EndR (R …
isomorphism classes of finitely generated projective right modules over the rings EndR (R …
On projective modules over polynomial rings
M Roitman - Journal of algebra, 1979 - Elsevier
We prove here, among other results, that if R is a commutative noetherian ring and
projective R [x 1,…, xn]-modules of rank⩽ Krull dim R are extended, then finitely generated …
projective R [x 1,…, xn]-modules of rank⩽ Krull dim R are extended, then finitely generated …