The Hochschild cohomology ring of monomial algebras
Artenstein D, Letz J, Oswald A, Solotar A (2024)
Journal of Algebra 654: 108-131.
Zeitschriftenaufsatz
| Veröffentlicht | Englisch
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Autor*in
Artenstein, Dalia;
Letz, JaninaUniBi;
Oswald, Amrei;
Solotar, Andrea
Einrichtung
Abstract / Bemerkung
We give an explicit description of a diagonal map on the Bardzell resolution for any monomial algebra, and we use this diagonal map to describe the cup product on Hochschild cohomology. Then, we prove that the cup product is zero in positive degrees for triangular monomial algebras. Our proof uses the graded-commutativity of the cup product on Hochschild cohomology and does not rely on explicit computation of the Hochschild cohomology modules. (c) 2024 Elsevier Inc. All rights reserved.
Stichworte
Hochschild cohomology;
Cup product;
Monomial algebra;
Triangular;
algebra;
Diagonal map;
Bardzell resolution
Erscheinungsjahr
2024
Zeitschriftentitel
Journal of Algebra
Band
654
Seite(n)
108-131
ISSN
0021-8693
eISSN
1090-266X
Page URI
https://pub.uni-bielefeld.de/record/2990778
Zitieren
Artenstein D, Letz J, Oswald A, Solotar A. The Hochschild cohomology ring of monomial algebras. Journal of Algebra. 2024;654:108-131.
Artenstein, D., Letz, J., Oswald, A., & Solotar, A. (2024). The Hochschild cohomology ring of monomial algebras. Journal of Algebra, 654, 108-131. https://doi.org/10.1016/j.jalgebra.2024.04.019
Artenstein, Dalia, Letz, Janina, Oswald, Amrei, and Solotar, Andrea. 2024. “The Hochschild cohomology ring of monomial algebras”. Journal of Algebra 654: 108-131.
Artenstein, D., Letz, J., Oswald, A., and Solotar, A. (2024). The Hochschild cohomology ring of monomial algebras. Journal of Algebra 654, 108-131.
Artenstein, D., et al., 2024. The Hochschild cohomology ring of monomial algebras. Journal of Algebra, 654, p 108-131.
D. Artenstein, et al., “The Hochschild cohomology ring of monomial algebras”, Journal of Algebra, vol. 654, 2024, pp. 108-131.
Artenstein, D., Letz, J., Oswald, A., Solotar, A.: The Hochschild cohomology ring of monomial algebras. Journal of Algebra. 654, 108-131 (2024).
Artenstein, Dalia, Letz, Janina, Oswald, Amrei, and Solotar, Andrea. “The Hochschild cohomology ring of monomial algebras”. Journal of Algebra 654 (2024): 108-131.
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