Two properties of the power series ring
1988 ◽
Vol 11
(1)
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pp. 9-13
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For a commutative ring with unity,A, it is proved that the power series ringA〚X〛is a PF-ring if and only if for any two countable subsetsSandTofAsuch thatS⫅annA(T), there existsc∈annA(T)such thatbc=bfor allb∈S. Also it is proved that a power series ringA〚X〛is a PP-ring if and only ifAis a PP-ring in which every increasing chain of idempotents inAhas a supremum which is an idempotent.
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1998 ◽
Vol 57
(3)
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pp. 427-432
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2013 ◽
Vol 13
(02)
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pp. 1350083
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2018 ◽
Vol 17
(10)
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pp. 1850199
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1981 ◽
Vol 4
(3)
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pp. 485-491
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1997 ◽
Vol 114
(2)
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pp. 111-131
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