RELATIVE COHERENCE OF RINGS
2012 ◽
Vol 11
(03)
◽
pp. 1250047
Keyword(s):
Let R be a ring and τ a hereditary torsion theory for the category of all left R-modules. A right R-module M is called τ-flat if Tor 1(M, R/I) = 0 for any τ-finitely presented left ideal I. A left R-module N is said to be τ-f-injective in case Ext 1(R/I, N) = 0 for any τ-finitely presented left ideal I. R is called a left τ-coherent ring in case every τ-finitely presented left ideal is finitely presented. τ-coherent rings are characterized in terms of, among others, τ-flat and τ-f-injective modules. Some known results are extended.
2017 ◽
Vol 16
(10)
◽
pp. 1750187
◽
Keyword(s):
Keyword(s):
1967 ◽
Vol 8
(2)
◽
pp. 123-126
◽
Keyword(s):
2009 ◽
Vol 08
(02)
◽
pp. 139-155
◽
1973 ◽
Vol 8
(2)
◽
pp. 233-239
◽
Keyword(s):
2018 ◽
Vol 28
(06)
◽
pp. 959-977
◽
Keyword(s):
2019 ◽
Vol 19
(03)
◽
pp. 2050050
◽