Rings with dual continuous right ideals
1982 ◽
Vol 33
(3)
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pp. 287-294
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Keyword(s):
AbstractIn this paper the structure of rings with dual continuous right ideals is discussed. The main result is the following: If R is a ring with (Jacobson) radical nil, and all of its finitely generated right ideals are dual continuous, then where S is a finite direct sum of local rings each of which has its radical square zero, or is a right valuation ring, T is semiprimary right semihereditary ring, and M is an (S, T)-bimodule such that all of its finitely generated T-submodules are projective. A partial converse of this result is obtained: any matrix ring of the above type with M = 0 has all of its finitely generated right ideals dual continuous.
2007 ◽
Vol 75
(1)
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pp. 23-26
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2018 ◽
Vol 168
(2)
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pp. 305-322
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1960 ◽
Vol 17
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pp. 161-166
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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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2011 ◽
Vol 10
(03)
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pp. 475-489
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1988 ◽
Vol 44
(2)
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pp. 242-251
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2016 ◽
Vol 16
(09)
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pp. 1750163
Keyword(s):
2007 ◽
Vol 59
(2)
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pp. 343-371
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