Study of Semi-projective Retractable Modules
Keyword(s):
For a semi-projective retractable module MR with endomorphism ring S, we prove u.dim MR= u.dim SS, and find necessary and sufficient conditions on M in order that S be respectively semiprime, right nonsingular, finitely cogenerated, cocyclic, or weakly co-Hopfian. Precise descriptions of the right singular ideal of S and the socle of M are given, and in addition if S is a semiprime ring, it is shown that MR is FI-extending if and only if SS is FI-extending.
2012 ◽
Vol 2012
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pp. 1-26
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1972 ◽
Vol 24
(4)
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pp. 703-712
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1975 ◽
Vol 18
(1)
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pp. 99-104
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1988 ◽
Vol 31
(3)
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pp. 374-379
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2005 ◽
Vol 3
(3)
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pp. 223-237
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2018 ◽
Vol 148
(4)
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pp. 731-750
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2014 ◽
Vol 13
(08)
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pp. 1450060
2006 ◽
Vol 05
(03)
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pp. 287-306
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