On a theorem of Cohen and Montgomery for graded rings
2001 ◽
Vol 131
(5)
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pp. 1163-1166
Keyword(s):
Giving as answer to Bergman's question, Cohen and Montgomery proved that, for every finite group G with identity e and each G-graded ring R = ⊕g∈GRg, the Jacobson radical J(Re) of the initial component Re is equal to Re ∩ J(R). We describe all semigroups S, which satisfy the following natural analogue of this property: J(Re) = Re ∩ J(R) for each S-graded ring R = ⊕s∈SRs and every idempotent e ∈ S.
1997 ◽
Vol 55
(2)
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pp. 255-259
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2018 ◽
Vol 17
(06)
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pp. 1850109
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1979 ◽
Vol 28
(3)
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pp. 335-345
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2008 ◽
Vol 51
(3)
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pp. 460-466
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2019 ◽
Vol 19
(09)
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pp. 2050165
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2005 ◽
Vol 72
(2)
◽
pp. 317-324
Keyword(s):
1975 ◽
Vol 16
(1)
◽
pp. 22-28
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