The Hochschild cohomology ring modulo nilpotence of a monomial algebra
E. L. Green, N. Snashall, Ø. Solberg
Abstract
For a finite dimensional monomial algebra Λ over a field K we show that the Hochschild cohomology ring of Λ modulo the ideal generated by homogeneous nilpotent elements is a commutative finitely generated K-algebra of Krull dimension at most one. This was conjectured to be true for any finite dimensional algebra over a field by Snashall-Solberg.
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