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Bulletin of the Institute of
Mathematics Academia Sinica
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2008 / September Volume 3 No.3
Right Chain Po-$\Gamma$-semigroups
Published Date
2008 / September
Title
Right Chain Po-$\Gamma$-semigroups
Author
P. Dheena, B. Elavarasan
Keyword
Completely prime ideal, Po-$\Gamma$-semigroups, prime ideals, right ideal, Completely prime ideal, Po-$\Gamma$-semigroups, prime ideal, right ideal
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Pagination
407-415
Abstract
In this paper, we prove, among others, that in right chains, the proper ideals are completely prime if and only if they are completely semiprime and that the proper right ideals are prime if and only if they are semiprime. Moreover, the proper non-zero idempotent ideals are completely prime.
AMS Subject
Classification
06F05, 06F99
Received
2007-12-25
Accepted
2007-12-25
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