A right continuous right weakly si-ring is semisimple
1995 ◽
Vol 51
(3)
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pp. 479-488
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It is shown that a projective CS right module M over a ring R is a direct sum of uniform modules of composition lengths at most 2 if (i) every finitely generated direct summand of M is continuous and (ii) every non-zero M-singular right R-module contains a non-zero M-injective submodule. In particular, a right continuous ring R is semisimple if R is right weakly SI, that is, if every non-zero singular right R-module contains a non-zero injective submodule.
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2019 ◽
Vol 19
(11)
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pp. 2050207
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2003 ◽
Vol 2003
(69)
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pp. 4373-4387
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2018 ◽
Vol 168
(2)
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pp. 305-322
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2019 ◽
Vol 18
(02)
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pp. 1950035
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1980 ◽
Vol 16
(3)
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pp. 265-273
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1989 ◽
Vol 40
(1)
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pp. 109-111
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1976 ◽
Vol 28
(5)
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pp. 1105-1120
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