On separable noncyclic extensions of rings

George Szeto; Yuen-Fat Wong

doi:10.1017/s1446788700023818

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On separable noncyclic extensions of rings

George Szeto Yuen-Fat Wong

Year: 1983 Journal: Journal of the Australian Mathematical Society Series A Pure Mathematics and Statistics Vol: 34 (3)Pages: 394-398 Publisher: Cambridge University Press

DOI: 10.1017/s1446788700023818

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Abstract

Abstract 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.

Keywords:

Separable space Mathematics Extension (predicate logic) Product (mathematics) Representation (politics) Pure mathematics Commutative ring Ring (chemistry) Algebra over a field Commutative property Mathematical analysis Computer science Geometry

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Rings, Modules, and Algebras

Physical Sciences → Mathematics → Algebra and Number Theory

Advanced Algebra and Logic

Physical Sciences → Computer Science → Computational Theory and Mathematics

Advanced Topics in Algebra

Physical Sciences → Mathematics → Algebra and Number Theory

On separable noncyclic extensions of rings

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