English

On the cap product in Hochschild theory

K-Theory and Homology 2019-08-07 v1 Rings and Algebras

Abstract

In this paper we give an axiomatic characterization of the cap product in the Hochschild theory of associative unital algebras which are projective over a commutative unital ring. We also give an interpretation of the cap product with coefficients in the algebra via chain maps.

Keywords

Cite

@article{arxiv.1908.02255,
  title  = {On the cap product in Hochschild theory},
  author = {Marco Armenta},
  journal= {arXiv preprint arXiv:1908.02255},
  year   = {2019}
}

Comments

11 pages

R2 v1 2026-06-23T10:41:14.776Z