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Group action on fuzzy ideals

Group action on fuzzy ideals COMMUNICATIONS IN ALGEBRA, 26(12), 4207-4220 (1998) Ram Parkash Sharma and Samriti Sharma Department of Mathematics Hi machal Pr adesh Uni ver si t y Summer Hi 1 1 , Shi ml a-1 71 005 C I NDI A3 1. Introduction The study of groups acting on rings started as an attempt to develop Galois theory for rings. The study of skew group ring methods to Galois theory led mathematicians S. Montgomery [I I, M. Lorenz and D. S. Passman [21 and others to investigate the relationships between the prime ideals of a ring, its skew group ring and the fixed subring. Lorenz and Passman [21, established the relationships between the G-prime ideals of R and the prime ideals of skew group ring R x G . The relationships between the prime ideals of R and that of R~ have been studied by Montgomery [ 1 I. Copyright 0 1998 by Marcel Dckkcr, Inc. www.dckkcr.com SHARMA AND SHARMA Further, Montgomery has also extended the group action to spec - R . The purpose of this paper is to extend the group action to the fuzzy ideals of a ring R with group action on it, and to derive a relation http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Communications in Algebra Taylor & Francis

Group action on fuzzy ideals

Communications in Algebra , Volume 26 (12): 14 – Jan 1, 1998

Group action on fuzzy ideals

Communications in Algebra , Volume 26 (12): 14 – Jan 1, 1998

Abstract

COMMUNICATIONS IN ALGEBRA, 26(12), 4207-4220 (1998) Ram Parkash Sharma and Samriti Sharma Department of Mathematics Hi machal Pr adesh Uni ver si t y Summer Hi 1 1 , Shi ml a-1 71 005 C I NDI A3 1. Introduction The study of groups acting on rings started as an attempt to develop Galois theory for rings. The study of skew group ring methods to Galois theory led mathematicians S. Montgomery [I I, M. Lorenz and D. S. Passman [21 and others to investigate the relationships between the prime ideals of a ring, its skew group ring and the fixed subring. Lorenz and Passman [21, established the relationships between the G-prime ideals of R and the prime ideals of skew group ring R x G . The relationships between the prime ideals of R and that of R~ have been studied by Montgomery [ 1 I. Copyright 0 1998 by Marcel Dckkcr, Inc. www.dckkcr.com SHARMA AND SHARMA Further, Montgomery has also extended the group action to spec - R . The purpose of this paper is to extend the group action to the fuzzy ideals of a ring R with group action on it, and to derive a relation

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References (5)

Publisher
Taylor & Francis
Copyright
Copyright Taylor & Francis Group, LLC
ISSN
1532-4125
eISSN
0092-7872
DOI
10.1080/00927879808826406
Publisher site
See Article on Publisher Site

Abstract

COMMUNICATIONS IN ALGEBRA, 26(12), 4207-4220 (1998) Ram Parkash Sharma and Samriti Sharma Department of Mathematics Hi machal Pr adesh Uni ver si t y Summer Hi 1 1 , Shi ml a-1 71 005 C I NDI A3 1. Introduction The study of groups acting on rings started as an attempt to develop Galois theory for rings. The study of skew group ring methods to Galois theory led mathematicians S. Montgomery [I I, M. Lorenz and D. S. Passman [21 and others to investigate the relationships between the prime ideals of a ring, its skew group ring and the fixed subring. Lorenz and Passman [21, established the relationships between the G-prime ideals of R and the prime ideals of skew group ring R x G . The relationships between the prime ideals of R and that of R~ have been studied by Montgomery [ 1 I. Copyright 0 1998 by Marcel Dckkcr, Inc. www.dckkcr.com SHARMA AND SHARMA Further, Montgomery has also extended the group action to spec - R . The purpose of this paper is to extend the group action to the fuzzy ideals of a ring R with group action on it, and to derive a relation

Journal

Communications in AlgebraTaylor & Francis

Published: Jan 1, 1998

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