Principally quasi-Baer properties of group rings
2012 ◽
Vol 49
(4)
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pp. 454-465
Keyword(s):
A ring R is called left p.q.-Baer if the left annihilator of a principal left ideal is generated, as a left ideal, by an idempotent. It is first proved that for a ring R and a group G, if the group ring RG is left p.q.-Baer then so is R; if in condition G is finite then |G|−1 ∈ R. Counterexamples are given to answer the question whether the group ring RG is left p.q.-Baer if R is left p.q.-Baer and G is a finite group with |G|−1 ∈ R. Further, RD∞ is left p.q.-Baer if and only if R is left p.q.-Baer.
2007 ◽
Vol 83
(2)
◽
pp. 285-296
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Keyword(s):
1976 ◽
Vol 28
(5)
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pp. 954-960
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Keyword(s):
1991 ◽
Vol 14
(1)
◽
pp. 149-153
Keyword(s):
1993 ◽
Vol 35
(3)
◽
pp. 367-379
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Keyword(s):
Keyword(s):
1990 ◽
Vol 33
(2)
◽
pp. 242-246
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Keyword(s):
1965 ◽
Vol 8
(4)
◽
pp. 465-475
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Keyword(s):
1991 ◽
Vol 34
(2)
◽
pp. 217-228
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2017 ◽
Vol 16
(02)
◽
pp. 1750025
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Keyword(s):