the remak-krull-schmidt theorem on fuzzy groups
نویسندگان
چکیده
in this paper we study a representation of a fuzzy subgroup $mu$ of a group $g$, as a product of indecomposable fuzzy subgroups called the components of $mu$. this representation is unique up to the number of components and their isomorphic copies. in the crisp group theory, this is a well-known theorem attributed to remak, krull, and schmidt. we consider the lattice of fuzzy subgroups and some of their properties to prove this theorem. we illustrate with some examples.
منابع مشابه
The Remak-Krull-Schmidt Theorem on\ Fuzzy Groups
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عنوان ژورنال:
iranian journal of fuzzy systemsناشر: university of sistan and baluchestan
ISSN 1735-0654
دوره 10
شماره 6 2013
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