Projective Modules, Idempotent Ideals and Intersection Theorems

2010 ◽  
pp. 303-326 ◽  
Author(s):  
Patrick F. Smith
Keyword(s):  
Projective Modules

Invariance of projective modules in $$\mathsf {Sup}$$ under self-duality

2021 ◽  
Vol 82 (1) ◽  
Author(s):  
Javier Gutiérrez García ◽  
Ulrich Höhle ◽  
Tomasz Kubiak
Keyword(s):  
Projective Modules ◽  
Self Duality

scholarly journals Supplement submodules and a generalization of projective modules

2004 ◽  
Vol 277 (2) ◽  
pp. 689-702 ◽  
Author(s):  
M.C. Izurdiaga
Keyword(s):  
Projective Modules

scholarly journals Projective modules and prime submodules

2006 ◽  
Vol 56 (2) ◽  
pp. 601-611 ◽  
Author(s):  
Mustafa Alkan ◽  
Yücel Tiraş
Keyword(s):  
Projective Modules ◽  
Prime Submodules

Noncommutative G-semihereditary rings

2018 ◽  
Vol 17 (01) ◽  
pp. 1850014 ◽  
Author(s):  
Jian Wang ◽  
Yunxia Li ◽  
Jiangsheng Hu
Keyword(s):  
Associative Ring ◽  
Sufficient Condition ◽  
Projective Modules ◽  
The Third ◽  
Flat Modules ◽  
Gorenstein Projective Modules ◽  
Direct Limits ◽  
Gorenstein Flat ◽  
Finitely Presented ◽  
Semihereditary Rings

In this paper, we introduce and study left (right) [Formula: see text]-semihereditary rings over any associative ring, and these rings are exactly [Formula: see text]-semihereditary rings defined by Mahdou and Tamekkante provided that [Formula: see text] is a commutative ring. Some new characterizations of left [Formula: see text]-semihereditary rings are given. Applications go in three directions. The first is to give a sufficient condition when a finitely presented right [Formula: see text]-module is Gorenstein flat if and only if it is Gorenstein projective provided that [Formula: see text] is left coherent. The second is to investigate the relationships between Gorenstein flat modules and direct limits of finitely presented Gorenstein projective modules. The third is to obtain some new characterizations of semihereditary rings, [Formula: see text]-[Formula: see text] rings and [Formula: see text] rings.

scholarly journals Varieties of complexes of fixed rank

2015 ◽  
Vol 14 (05) ◽  
pp. 1550077
Author(s):  
Darmajid ◽  
Bernt Tore Jensen
Keyword(s):  
Global Dimension ◽  
Projective Modules ◽  
Fixed Rank

We study varieties of complexes of projective modules with fixed ranks, and relate these varieties to the varieties of their homologies. We show that for an algebra of global dimension at most two, these two varieties are related by a pair of morphisms which are smooth with irreducible fibers.

Some Remarks on Multiplication and Projective Modules

2004 ◽  
Vol 32 (10) ◽  
pp. 3897-3909 ◽  
Author(s):  
Majid M. Ali ◽  
David J. Smith
Keyword(s):  
Projective Modules
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