On Group Rings
1970 ◽
Vol 22
(2)
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pp. 249-254
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Keyword(s):
Let R be a commutative ring with unity and let G be a group. The group ring RG is a free R-module having the elements of G as a basis, with multiplication induced byThe first theorem in this paper deals with idempotents in RG and improves a result of Connell. In the second section we consider the Jacobson radical of RG, and we prove a theorem about a class of algebras that includes RG when G is locally finite and R is an algebraically closed field of characteristic zero. The last theorem shows that if R is a field and G is a finite nilpotent group, then RG determines RP for every Sylow subgroup P of G, regardless of the characteristic of R.
1955 ◽
Vol 7
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pp. 169-187
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Keyword(s):
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1974 ◽
Vol 17
(2)
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pp. 201-202
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Keyword(s):
1970 ◽
Vol 17
(2)
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pp. 165-171
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Keyword(s):
2016 ◽
Vol 16
(07)
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pp. 1750135
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Keyword(s):
2019 ◽
Vol 62
(4)
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pp. 810-821
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Keyword(s):
1968 ◽
Vol 9
(2)
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pp. 146-151
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2014 ◽
Vol 24
(02)
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pp. 233-249
Keyword(s):
2007 ◽
Vol 50
(1)
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pp. 37-47
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