The Hochschild cohomology ring modulo nilpotence of a monomial algebra

Details The Hochschild cohomology ring modulo nilpotence of a monomial algebra The Hochschild cohomology ring modulo nilpotence of a monomial algebra

2004-01-30

arxiv.org/abs/math/0401446v1

Journal of Algebra and Its Applications, vol. 5, no. 2 (2006) 1-40.

Mathematics

K-Theory and Homology

35 pages

Scientific paper

For a finite dimensional monomial algebra $\Lambda$ over a field $K$ we show
that the Hochschild cohomology ring of $\Lambda$ 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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