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G-Prime Ideals in Semirings and Their Skew Group Semirings

G-Prime Ideals in Semirings and Their Skew Group Semirings Semirings have been studied by various researchers either in an attempt to broaden the techniques coming from semigroup theory or generalization of group theory and ring theory. From an algebraic point of view, semirings provide the most natural generalization of the theory of rings. In this article, we generalize some of the results of Lorenz and Passman (1979) for semirings with finite group action on them. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Communications in Algebra Taylor & Francis

G-Prime Ideals in Semirings and Their Skew Group Semirings

Communications in Algebra , Volume 34 (12): 7 – Dec 1, 2006
7 pages

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References (4)

Publisher
Taylor & Francis
Copyright
Copyright Taylor & Francis Group, LLC
ISSN
1532-4125
eISSN
0092-7872
DOI
10.1080/00927870600938738
Publisher site
See Article on Publisher Site

Abstract

Semirings have been studied by various researchers either in an attempt to broaden the techniques coming from semigroup theory or generalization of group theory and ring theory. From an algebraic point of view, semirings provide the most natural generalization of the theory of rings. In this article, we generalize some of the results of Lorenz and Passman (1979) for semirings with finite group action on them.

Journal

Communications in AlgebraTaylor & Francis

Published: Dec 1, 2006

Keywords: G -prime ideals; Going down problems; Semirings; Skew group semirings; Primary 16A24, 16A72; Secondary 16A12, 16A38

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