Operations on triple cohomology
Let (T,\(\mu\),\(\eta)\) be a triple on the category of R-modules. Given T- algebras AT\(\to A\) and BT\(\to B\), the author considers the non- homogeneous complex \[ 0 \to (A,B) \to (AT,B) \to (AT^ 2,B) \to ... \] enriched over the category of coalgebras. The circle product, satisfying a Leibniz formula on its cochains is defined. It implies the known examples and extends them to algebras of most general character [cf. \textit{M. Gerstenhaber}, Ann. Math., II. Ser. 78, 267-288 (1963; Zbl 0131.273)].
scientific article; zbMATH DE number 4055852
scientific article