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results on engel fuzzy subgroups
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نویسنده
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mohamadzadeh e. ,borzouei r.a. ,jun young bae
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منبع
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journal of algebraic structures and their applications - 2017 - دوره : 4 - شماره : 2 - صفحه:1 -14
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چکیده
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in the classical group theory there is an open question: is every torsion free nengel group (for n ≥ 4), nilpotent?. to answer the question, traustason [11] showed that with some additional conditions all 4engel groups are locally nilpotent. here, we gave some partial answer to this question on engel fuzzy subgroups. we show that if μ is a normal 4engel fuzzy subgroup of group g, x,y in g and a =y^x, then μ|< a, y> is a generalized nilpotent of class at most 2. also we define a torsion free fuzzy subgroup and show that if μ is a 4engel torsion free fuzzy subgroup of g, then μ|< a, y> is a generalized nilpotent of class at most 4, for conjugate elements a,y in g.
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کلیدواژه
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n-engel group ,(torsion free) n-engle fuzzy subgroup ,generalized nilpotent fuzzy subgroup
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آدرس
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department of mathematics payame noor university p.o. box 19395-3697payame noor university, department of mathematics, iran, department of mathematics shahid beheshti university, iran, gyeong sang national university, department of mathematics education, korea
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پست الکترونیکی
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skywine@gmail.com
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Authors
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