岡山大学環境理工学部研究報告 ISSN 2187-6940
Published by Faculty of Environmental Science and Technology, Okayama University

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Smash product extensions of separable algebras

Nakajima, Atsushi
Abstract
Let A be a bialgebra and let S be a right A-comodule algebra which has an A-comodule subalgebra T with common identity. We show that if S is a separable extension of T, then for a left A-module algebra K, K♯S is a separable extension of K♯T. Similar result holds for left A-module algebras and right A-comodule algebras.
Keywords
Separable extension
smash product
module algebra and comodule algebra
ISSN
1341-9099
NCID
AN10529213
NAID