Direct products and isomorphisms of fuzzy subgroups
type: Item
instance of: scholarly article
title: Direct products and isomorphisms of fuzzy subgroups
zbMATH Open document ID: 0791.20091
DOI: 10.1016/0020-0255(92)90076-K
author: Babington Makamba
published in: Information Sciences
publication date: 1992-09-27T00:00:00Z
review text: The author defines the internal direct product \(\mu \otimes \nu\) of two fuzzy subgroups \(\mu\) and \(\nu\) of a group \(G\). He also introduces a notion of homomorphism and isomorphism of fuzzy subgroups (of possibly different groups) and proves that \(\mu \otimes \nu\) is isomorphic to the external direct product \(\mu \times \nu\). Analogues of the first and third isomorphism theorems are also established.
Mathematics Subject Classification ID: 20N25
zbMATH DE Number: 65283
zbMATH Keywords: direct product
zbMATH Keywords: fuzzy subgroups
zbMATH Keywords: isomorphism theorems
MaRDI profile type: Publication
cites work: Fuzzy groups
cites work: Fuzzy normal subgroups and fuzzy cosets
cites work: Fuzzy sets
cites work: Fuzzy groups: Some group theoretic analogs. II
cites work: Fuzzy groups and level subgroups
cites work: Products of fuzzy subgroups
full work available at URL: 0020-0255(92)90076-k
OpenAlex ID: W2079720837
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description: scientific article; zbMATH DE number 65283