Cotorsion modules and relative pure-injectivity
2006 ◽
Vol 81
(2)
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pp. 225-244
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AbstractLet R be a ring. A right R-module C is called a cotorsion module if Ext1R (F, C) = 0 for any flat right R-module F. In this paper, we first characterize those rings satisfying the condition that every cotorsion right (left) module is injective with respect to a certain class of right (left) ideals. Then we study relative pure-injective modules and their relations with cotorsion modules.
2011 ◽
Vol 84
(2)
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pp. 408-432
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Keyword(s):
2012 ◽
Vol 40
(10)
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pp. 3841-3858
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Keyword(s):
2015 ◽
Vol 144
(3)
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pp. 1015-1020
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1975 ◽
Vol s2-11
(3)
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pp. 267-275
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Keyword(s):
Keyword(s):
1981 ◽
Vol 9
(9)
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pp. 989-999
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2010 ◽
Vol 52
(A)
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pp. 53-59
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Keyword(s):
1993 ◽
Vol s3-67
(1)
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pp. 127-158
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