Decompositions of modules into projective modules and CS-modules
2000 ◽
Vol 62
(1)
◽
pp. 159-164
Keyword(s):
Let M be a right R-module. It is shown that M is a locally Noetherian module if every finitely generated module in σ[M] is a direct sum of a projective module and a CS-module. Moreover, if every module in σ[M] is a direct sum of a projective module and a CS-module, then every module in σ[M] is a direct sum of modules which are either indecomposable projective or uniform Σ-quasi-injective. In particular, if every module in σ[M] is a direct sum of a projective module and a quasi-continuous module, then every module in σ[M] is a direct sum of a projective module and a quasi-injective module.
2010 ◽
Vol 52
(A)
◽
pp. 103-110
◽
2019 ◽
Vol 18
(02)
◽
pp. 1950035
◽
2006 ◽
Vol 80
(3)
◽
pp. 359-366
◽
Keyword(s):
1971 ◽
Vol 5
(1)
◽
pp. 87-94
◽
Keyword(s):
2007 ◽
Vol 315
(1)
◽
pp. 454-481
◽
1996 ◽
Vol 39
(2)
◽
pp. 253-262
◽
1995 ◽
Vol 52
(1)
◽
pp. 107-116
2010 ◽
Vol 54
(1)
◽
pp. 99-111
◽
Keyword(s):