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- Title
The Tor-Groups of Modules of Generalized Power Series.
- Authors
Zhongkui Liu; Ahsan, Javed
- Abstract
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 ${\rm Tor}_i^{[[R^{S,\leq}]]}([[M^{S,\leq}]], [[N^{S,\leq}]]) \cong [[({\rm Tor}_i^R(M,N))^{S,\leq}]]$.
- Subjects
SET theory; TOPOLOGY; MATHEMATICS; POWER series; PADE approximant; ISOMORPHISM (Mathematics)
- Publication
Algebra Colloquium, 2005, Vol 12, Issue 3, p477
- ISSN
1005-3867
- Publication type
Article
- DOI
10.1142/S1005386705000441