Hochschild Cohomology of Algebras of Dihedral Type. VIII. Hochshild Cohomology Algebra for the Family D(2ℬ)(k, s, 0) in Characteristic 2

Abstract

The Hochschild cohomology algebra for the algebras of dihedral type in the subfamily of the family D(2ℬ), for which the parameter c is equal to 0, are described. The calculation of multiplication in this cohomology algebra, uses the minimal bimodule projective resolution for algebras under consideration, that was constructed in the previous paper of the authors. The obtained results allow to describe the Hochschild cohomology algebra also for algebras with c = 0 in the family D(2\( \mathcal{A} \)).