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The Hochschild cohomology ring modulo nilpotence of a monomial algebra

E. L. Green·N. Snashall·Ø. Solberg
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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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E. L. Green, N. Snashall, Ø. Solberg. 2004-01-30. The Hochschild cohomology ring modulo nilpotence of a monomial algebra. https://arxiv.org/abs/math/0401446

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