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(∈,∈∨q)-fuzzy normal, quasinormal and maximal subgroups

✍ Scribed by Sandeep Kumar Bhakat


Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
160 KB
Volume
112
Category
Article
ISSN
0165-0114

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✦ Synopsis


The notions of (∈; ∈)-and (∈; ∈ ∨ q)-fuzzy normality and quasinormality for a (∈; ∈ ∨ q)-fuzzy subgroup are introduced. The notions of an (∈; ∈ ∨ q)-fuzzy core subgroup, (∈; ∈)-and an (∈; ∈ ∨ q)-fuzzy p-sylow subgroup are also introduced and some fundamental properties are dealt with. (∈; ∈ ∨ q)-fuzzy normality and (∈; ∈ ∨ q)-fuzzy quasinormality are found to be more generalised concepts than those introduced by others. A detailed study with a fuzzy maximal subgroup is incorporated with the limitation of this concept.


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