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H-Simple H-Module Algebras

Published online by Cambridge University Press:  20 November 2018

Miriam Cohen
Miriam Cohen*
Affiliation:
Department of Mathematics Ben Gurion University Beer Sheva, Israel
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Abstract

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Let A be an H-simple commutative H-module algebra, with AH = k and dimk H ≤ dimk A < ∞. We show that this implies that A # H is isomorphic to Mn(k), a central simple algebra. We apply this to characterize certain group graded algebras, algebras acted upon by a group as automorphisms, or by a nilpotent Lie algebra as derivations.

Keywords

16A24
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 30 , Issue 3 , 01 September 1987 , pp. 363 - 366
Copyright
Copyright © Canadian Mathematical Society 1987

References

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