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Title: Twisted Hochschild homology and MacLane homology
Authors: Pirashvili, Teimuraz
First Published: 2-Aug-2007
Publisher: Mathematical Sciences Publishers (MSP)
Citation: Algebraic and Geometric Topology, 7, pp. 1071-1079
Abstract: We prove that Hi.A; ˆ.A// D 0, i > 0. Here A is a commutative algebra over the prime field Fp of characteristic p > 0 and ˆ.A/ is A considered as a bimodule, where the left multiplication is the usual one, while the right multiplication is given via Frobenius endomorphism and H denotes the Hochschild homology over Fp . This result has implications in Mac Lane homology theory. Among other results, we prove that HML .A; T / D 0, provided A is an algebra over a field K of characteristic p >0 and T is a strict homogeneous polynomial functor of degree d with 1<d <Card.K/.
DOI Link: 10.2140/agt.2007.7.1071
ISSN: 1472-2747
eISSN: 1472-2739
Version: Post-print
Status: Peer-reviewed
Type: Journal Article
Rights: Archived with reference to SHERPA/RoMEO and publisher website.
Appears in Collections:Published Articles, Dept. of Mathematics

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