Homology, Homotopy and Applications

Volume 23 (2021)

Number 1

A simplicial construction for noncommutative settings

Pages: 49 – 60

DOI: https://dx.doi.org/10.4310/HHA.2021.v23.n1.a4


Samuel Carolus (Department of Mathematics, Ohio Northern University, Ada, Oh., U.S.A.)

Jacob Laubacher (Department of Mathematics, St. Norbert College, De Pere, Wisconsin, U.S.A.)

Mihai D. Staic (Department of Mathematics and Statistics, Bowling Green State University, Bowling Green, Ohio, U.S.A.; and Institute of Mathematics of the Romanian Academy, Bucharest, Romania)


In this paper we present a general construction that can be used to define the higher order Hochschild homology for a noncommutative algebra. We also discuss other examples where this construction can be used.


higher order Hochschild homology, noncommutative, simplicial

2010 Mathematics Subject Classification

16E40, 18G30

Received 25 September 2019

Received revised 14 March 2020

Accepted 17 March 2020

Published 5 August 2020