Characterizing rings by a direct decomposition property of their modules
2006 ◽
Vol 80
(3)
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pp. 359-366
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Keyword(s):
AbstractA module M is said to satisfy the condition (℘*) if M is a direct sum of a projective module and a quasi-continuous module. In an earlier paper, we described the structure of rings over which every (countably generated) right module satisfies (℘*), and it was shown that such a ring is right artinian. In this note some additional properties of these rings are obtained. Among other results, we show that a ring over which all right modules satisfy (℘*) is also left artinian, but the property (℘*) is not left-right symmetric.
1994 ◽
Vol 17
(4)
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pp. 661-666
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2000 ◽
Vol 62
(1)
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pp. 159-164
2007 ◽
Vol 315
(1)
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pp. 454-481
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1996 ◽
Vol 39
(2)
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pp. 253-262
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2010 ◽
Vol 52
(A)
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pp. 103-110
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1995 ◽
Vol 52
(1)
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pp. 107-116
2020 ◽
Vol 13
(1)
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pp. 158-169
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2019 ◽
Vol 18
(01)
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pp. 1950005
1982 ◽
Vol 25
(3)
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pp. 296-301
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