The Tor-Groups of Modules of Generalized Power Series
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Let (S,≤) be a strictly ordered monoid, and R a right noetherian ring. Assume that M is a finitely generated right R-module and N a left R-module. Denote by [[MS,≤]] (resp., [[NS,≤]]) the right (resp., left) [[RS,≤]]-module of generalized power series over M (resp., over N). Then we show that there exists an isomorphism of abelian groups [Formula: see text].
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2015 ◽
Vol 25
(05)
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pp. 725-744
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2012 ◽
Vol 12
(01)
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pp. 1250129
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2011 ◽
Vol 10
(05)
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pp. 891-900
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2009 ◽
Vol 08
(04)
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pp. 557-564
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