Reflexive modules over coherent GCD-domains

W Fanggui, T Gaohua - Communications in Algebra, 2005 - Taylor & Francis
In this article, we study finitely generated reflexive modules over coherent GCD-domains
and finitely generated projective modules over polynomial rings. In particular, we give a …

Examples of non-finitely generated projective modules

JD O'Neill - Lecture Notes Pure Appl. Math, 1992 - books.google.com
Let R be a commutative ring and let P be an NFG (non-finitely generated) projective R-
module. What conditions on R ensure that P is free or at least the direct sum of finitely …

[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 …

On projectivity of finitely generated modules

Y Durğun, Şİ Kalir, AYİ Shibeshi - Communications in Algebra, 2023 - Taylor & Francis
In a recent paper of Holston, López-Permouth, Mastromatteo and Simental-Rodriguez, a ring
R is defined to have no subprojective middle class if the subprojectivity domain of any R …

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

G Puninski - Journal of Pure and Applied Algebra, 2004 - Elsevier
Projective modules over the endomorphism ring of a biuniform module - ScienceDirect Skip
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[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 …

Globalization theorems for locally finitely generated modules

R Wiegand - Pacific Journal of Mathematics, 1971 - msp.org
Globalization theorems for locally finitely generated modules Page 1 Pacific Journal of
Mathematics GLOBALIZATION THEOREMS FOR LOCALLY FINITELY GENERATED …

[PDF][PDF] Generalized GCD modules

MMADJ Smith - Contributions to Algebra and Geometry, 2005 - emis.de
In recent work we called a ring R a GGCD ring if the semigroup of finitely generated faithful
multiplication ideals of R is closed under intersection. In this paper we introduce the concept …

[引用][C] Projectivity of finitely generated flat modules over semilocal rings

II Sakhaev - Mathematical notes of the Academy of Sciences of the …, 1985 - Springer
We assume throughout that R is an associative ring with unity whose modules are left unital;
J (R) is the Jacobson radical of R;~ n is the ring of matrices of order n over the ideal~ of R; …

[HTML][HTML] On the structure of pure-projective modules and some applications

A Moradzadeh-Dehkordi - Journal of pure and Applied Algebra, 2017 - Elsevier
We study direct-sum decompositions of pure-projective modules over some classes of rings.
In particular, we determine several classes of rings over which every pure-projective left …