Flat modules and torsion theories

1972 ◽  
Vol 129 (4) ◽  
pp. 331-334 ◽  
Author(s):  
William Schelter ◽  
Paul Roberts
Keyword(s):  
Flat Modules ◽  
Torsion Theories

scholarly journals Torsion theories over semihereditary rings

1986 ◽  
Vol 40 (1) ◽  
pp. 54-70 ◽  
Author(s):  
M. W. Evans
Keyword(s):  
Ring Homomorphism ◽  
Torsion Theory ◽  
Dedekind Domain ◽  
Reflective Subcategory ◽  
Flat Modules ◽  
Torsion Theories ◽  
The Right ◽  
Torsion Free ◽  
Regular Rings ◽  
Semihereditary Rings

AbstractIn this paper the class of rings for which the right flat modules form the torsion-free class of a hereditary torsion theory (G, ℱ) are characterized and their structure investigated. These rings are called extended semihereditary rings. It is shown that the class of regular rings with ring homomorphism is a full co-reflective subcategory of the class of extended semihereditary rings with “flat” homomorphisms. A class of prime torsion theories is introduced which determines the torsion theory (G, ℱG). The torsion theory (JG, ℱG) is used to find a suitable generalisation of Dedekind Domain.

Prestressed Concrete Tests Compared With Torsion Theories

PCI Journal ◽  
1985 ◽  
Vol 30 (5) ◽  
pp. 96-127 ◽  
Author(s):  
Arthur E. McMullen ◽  
Wael M. EI-Degwy
Keyword(s):  
Prestressed Concrete ◽  
Torsion Theories

scholarly journals Grade of Ideals with Respect to Torsion Theories

2013 ◽  
Vol 41 (9) ◽  
pp. 3224-3240
Author(s):  
Mohsen Asgharzadeh ◽  
Massoud Tousi
Keyword(s):  
Torsion Theories

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 Protoadditive functors, derived torsion theories and homology

2015 ◽  
Vol 219 (8) ◽  
pp. 3629-3676 ◽  
Author(s):  
Tomas Everaert ◽  
Marino Gran
Keyword(s):  
Torsion Theories
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