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Integrality of Module Algebras over Its Invariants

✍ Scribed by Shenglin Zhu

Publisher
Elsevier Science
Year
1996
Tongue
English
Weight
231 KB
Volume
180
Category
Article
ISSN
0021-8693

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✦ Synopsis

If H is cocommutative, then it is known that all commutative H-module algebras are integral over its invariants. Here we prove this result for those Hopf algebras H such that either H is involutionary with Char K Β¦ dim H or H has a cocommutative coradical and K is of positive characteristic. Examples are constructed to illustrate that the conclusion is not true, in general.

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