THE HOCHSCHILD COHOMOLOGY RING MODULO NILPOTENCE OF A MONOMIAL ALGEBRA

摘要

For a finite dimensional monomial algebra A over a field K we show that the Hochschild cohomology ring of A modulo the ideal generated by hornogeneous nilpotent elements is a commutative finitely generated isT-algebra of Krull dimension at most one. This was conjectured to be true for any finite dimensional algebra over a field in [13].