Invariants of FP-Projective Dimensions Under Cleft Extensions

DOI10.1142/S1005386713000667zbMath1282.16010OpenAlexW2121036936MaRDI QIDQ2862506

Fang Li, Haiyan Zhu, Xiuli Chen

Publication date: 15 November 2013

Published in: Algebra Colloquium (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s1005386713000667

zbMATH Keywords

finite-dimensional Hopf algebrascoherent ringscleft extensions\(FP\)-projective dimension\(FP\)-projective preenvelopes

Mathematics Subject Classification ID

Homological dimension in associative algebras (16E10) Smash products of general Hopf actions (16S40) Hopf algebras and their applications (16T05)

Cites Work

• Hopf extensions of algebras and Maschke type theorems
• Hopf Galois extensions, smash products, and Morita equivalence
• Crossed products and Galois extensions of Hopf algebras
• Covers and envelopes over gr-Gorenstein rings
• The Order of the Antipode of a Finite Dimensional Hopf Algebra is Finite
• Preserving of covers by hopf invariants
• FP-PROJECTIVE DIMENSIONS
• Relative FP-Projective Modules
• Coherent Rings and Fp -Injective Modules

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