Finiteness condition (fg) for self-injective Koszul algebras

DOI10.1007/S10468-018-9775-7zbMath1451.16022OpenAlexW2793187340MaRDI QIDQ1737240

Ayako Itaba

Publication date: 27 March 2019

Published in: Algebras and Representation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10468-018-9775-7

zbMATH Keywords

Hochschild cohomology ringsAS-regular algebrasgeometric algebrasKoszul dualcogeometric algebrasself-injective Koszul algebras

Mathematics Subject Classification ID

Rings arising from noncommutative algebraic geometry (16S38) Injective modules, self-injective associative rings (16D50) (Co)homology of rings and associative algebras (e.g., Hochschild, cyclic, dihedral, etc.) (16E40) Syzygies, resolutions, complexes in associative algebras (16E05) Graded rings and modules (associative rings and algebras) (16W50) Quadratic and Koszul algebras (16S37)

Cites Work

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• The varieties and the cohomology ring of a module
• Radical cube zero weakly symmetric algebras and support varieties.
• Graded algebras of global dimension 3
• Modules over regular algebras of dimension 3
• Support varieties for selfinjective algebras.
• CO-POINT MODULES OVER KOSZUL ALGEBRAS
• Support varieties and Hochschild cohomology rings

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