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Autor: Green, E. L., Hartman, G., Marcos, E. N., Solberg, Ø.

Publikováno v: Arch. Math., 85 (2005), no. 2, 118-127

In this paper we show that if $\Lambda=\amalg_{i\geq 0}\Lambda_i$ is a Koszul algebra with $\Lambda_0$ isomorphic to a product of copies of a field, then the minimal projective resolution of $\Lambda_0$ as a right $\Lambda$-module provides all the in

Externí odkaz: http://arxiv.org/abs/math/0409162

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Finite Hochschild cohomology without finite global dimension

Autor: Buchweitz, R. -O., Green, E. L., Madsen, D., Solberg, O.

Publikováno v: Math. Res. Lett., vol. 12 (2005), no. 6, 805-816

Dieter Happel asked the following question: If the $n$-th Hochschild cohomology group of a finite dimensional algebra $\Gamma$ over a field vanishes for all sufficiently large $n$, is the global dimension of $\Gamma$ finite? We give a negative answer

Externí odkaz: http://arxiv.org/abs/math/0407108

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The Hochschild cohomology ring modulo nilpotence of a monomial algebra

Autor: Green, E. L., Snashall, N., Solberg, Ø.

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

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 dimens

Externí odkaz: http://arxiv.org/abs/math/0401446

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