Projectivity and flatness over the endomorphism ring of a finitely generated module

S Caenepeel, T Guédénon - International Journal of …, 2004 - Wiley Online Library
Projectivity and flatness over the endomorphism ring of a finitely generated module Page 1
IJMMS 2004:30, 1581–1588 PII. S0161171204310082 http://ijmms.hindawi.com © Hindawi …

[HTML][HTML] Projective modules over the endomorphism ring of a biuniform module

G Puninski - Journal of Pure and Applied Algebra, 2004 - Elsevier
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On flatness and projectivity of a ring as a module over a fixed subring

JJ Garcia, A Del Rio - Mathematica Scandinavica, 1995 - JSTOR
Let R be a ring, G a group of automorphisms of R and RG the fixed subring of G on R. In [8],
Jondrup studied when R is projective as a right Rc-module. The first aim of this paper is to …

Flat modules and lifting of finitely generated projective modules

A Facchini, D Herbera, I Sakhajev - Pacific journal of mathematics, 2005 - msp.org
We introduce nets in rings, which turn out to describe right flat modules and left flat modules
over a fixed ring R at the same time. As an application we prove that for a finitely generated …

[PDF][PDF] Note on pure-projectivity of modules

L Fuchs, GJ Hauptfleisch - Annali della Scuola Normale Superiore di …, 1973 - numdam.org
One can try to generalize this result to (unital left) modules A over a ring with 1, by replacing
torsion-freeness and freeness by flatness and projectivity, respectively. One naturally …

[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 …

Isomorphisms between endomorphism rings of projective modules

JL García, JJ Simón - Glasgow Mathematical Journal, 1993 - cambridge.org
Let R and S be arbitrary rings, RM and SN countably generated free modules, and let φ: End
(RM)→ End (sN) be an isomorphism between the endomorphism rings of M and N. Camillo …

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) …

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 …

Endomorphism rings of finitely generated projective modules

R Miller - Pacific Journal of Mathematics, 1973 - msp.org
Over a ring A let PA be a finitely generated projective right A-module with A-endomorphism
ring B. Anderson has called PA an injector, perfect injector, projector, perfect projector, if the …