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Description
Abstract. In this paper we study properties of the secondary Hochschild homology of the triple (A, B, ε) with coefficients in M. We establish a type of Morita equivalence between two triples and show that H•((A, B, ε);M) is invariant under this equivalence. We also prove the existence of an exact sequence which connects the usual and the secondary Hochschild homologies in low dimension, allowing one to perform easy computations. The functoriality of H•((A, B, ε);M) is also discussed.
ISBN
1005-3867
Publication Date
12-1-2018
Publisher
WORLD SCIENTIFIC PUBLISHING
Keywords
Hochschild homology, Morita equivalence
Disciplines
Mathematics
Recommended Citation
Laubacher, Jacob, "Properties of the Secondary Hochschild Homology" (2018). Faculty Creative and Scholarly Works. 15.
https://digitalcommons.snc.edu/faculty_staff_works/15
Comments
Preprint of an article published in Algebra Colloquium, 25, 2, 2018, 225-242., © 10.1142/S1005386718000160, copyright World Scientific Publishing Company, https://www.worldscientific.com/worldscinet/ac .