REVERSIBLE SKEW GENERALIZED POWER SERIES RINGS
2011 ◽
Vol 84
(3)
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pp. 455-457
Keyword(s):
AbstractIn this note we show that there exist a semiprime ring R, a strictly ordered artinian, narrow, unique product monoid (S,≤) and a monoid homomorphism ω:S⟶End(R) such that the skew generalized power series ring R[[S,ω]] is semicommutative but R[[S,ω]] is not reversible. This answers a question posed in Marks et al. [‘A unified approach to various generalizations of Armendariz rings’, Bull. Aust. Math. Soc.81 (2010), 361–397].
2015 ◽
Vol 2015
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Vol 50
(4)
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pp. 436-453
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(02)
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pp. 1750034
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pp. 1450048
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pp. 1250129
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pp. 1650086
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2018 ◽
Vol 85
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pp. 434
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(03)
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pp. 1550038
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Vol 05
(04)
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pp. 1250027
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2010 ◽
Vol 81
(3)
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pp. 361-397
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