Title of article
The Remak-Krull-Schmidt Theorem on\\ Fuzzy Groups
Author/Authors
Venkat Murali، Venkat Murali نويسنده Department of Mathematics ( Pure & Applied ), Rhodes University, Grahamstown 6140, Eastern Cape, South Africa Venkat Murali, Venkat Murali , Babington Makamba، Babington Makamba نويسنده Department of Mathematics, University of Fort Hare, Alice 5700 , Eastern Cape , South Africa Babington Makamba, Babington Makamba
Issue Information
فصلنامه با شماره پیاپی 0 سال 2013
Pages
7
From page
153
To page
159
Abstract
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.
Journal title
Iranian Journal of Fuzzy Systems (IJFS)
Serial Year
2013
Journal title
Iranian Journal of Fuzzy Systems (IJFS)
Record number
980392
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