JP Journal of Algebra, Number Theory and Applications
Volume 2, Issue 2, Pages 153 - 160
(August 2002)
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THE
FUZZY CONGRUENCE EXTENSION PROPERTY IN GROUPS
Mingfen Wu (P. R. China)
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Abstract: The concept of the fuzzy group
congruence extension property (abbr. FGCEP)
in a group G is introduced. The complete
description of a group with FGCEP is given.
Furthermore, it is shown that a group G
possesses FGCEP if and only if it possesses
GCEP. Therefore, the results on a
group G with GCEP can be also obtained
as applications of the results in this paper. |
Keywords and phrases: fuzzy group, fuzzy
congruence, fuzzy congruence extension, fuzzy
congruence extension property. |
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