FINITISTIC DIMENSIONS AND PIECEWISE HEREDITARY PROPERTY OF SKEW GROUP ALGEBRAS

DOI10.1017/S0017089514000445zbMath1336.16022arXiv1304.0482OpenAlexW2962830597MaRDI QIDQ2942593

Liping Li

Publication date: 11 September 2015

Published in: Glasgow Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1304.0482

zbMATH Keywords

skew group algebrasfinitistic dimensionpiecewise hereditary algebrasstrong global dimension

Mathematics Subject Classification ID

Actions of groups and semigroups; invariant theory (associative rings and algebras) (16W22) Twisted and skew group rings, crossed products (16S35) Homological dimension in associative algebras (16E10) Semihereditary and hereditary rings, free ideal rings, Sylvester rings, etc. (16E60)

Related Items (3)

HOMOLOGICAL DIMENSIONS OF CROSSED PRODUCTS ⋮ Homological dimensions of skew group algebras ⋮ Piecewise hereditary algebras under field extensions

Cites Work

• Unnamed Item
• Skew group algebras in the representation theory of Artin algebras
• A homological characterization of piecewise hereditary algebras.
• Skew group algebras of piecewise hereditary algebras are piecewise hereditary.
• The representation theory of fully group-graded algebras
• Homological dimension of skew group rings and crossed products
• Piecewise hereditary algebras
• Homological properties of piecewise hereditary algebras.
• Representation Theory of Artin Algebras I
• The finitistic dimension conjectures -- a tale of 3.5 decades

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