HOCHSCHILD COHOMOLOGY OF ALGEBRAS OF QUATERNION TYPE. Ⅲ. ALGEBRAS WITH A SMALL PARAMETER

摘要

For algebras of quaternion type in the family Q(2B)_1, which have a "small" natural parameter, the Hochschild cohomology algebra is described. A beforehand constructed 4-periodic bimodule resolution for the algebras under consideration is used. As a result, the description of the Hochschild cohomology algebra for all algebras of quaternion type with two simple modules in characteristic 2 is complete.