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On separable noncyclic extensions of rings

Published online by Cambridge University Press:  09 April 2009

George Szeto
Affiliation:
Department of Mathematics Bradley University, PeoriaIllinois 61625U.S.A
Yuen-Fat Wong
Affiliation:
Department of Mathematics DePaul University, ChicagoIllinois 60637U.S.A.
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Abstract

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The separable cyclic extension of rings is generalized to a separable noncyclic extension of rings: a crossed product with a factor set over a ring (not necessarily commutative). A representation of separable idempotents for a separable crossed product is obtained, and simplifications for some special factor sets are also given.

Type
Research Article
Copyright
Copyright © Australian Mathematical Society 1983

References

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