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on dimension of lie algebras and nilpotent lie algebras
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نویسنده
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arabyani h.
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منبع
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mathematics and computational sciences - 2022 - دوره : 3 - شماره : 1 - صفحه:33 -36
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چکیده
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Schur proved that if the center of a group g has finite index, then the derived subgroup g′ is also finite. moneyhun proved that if l is a lie algebra such that dim(l/z(l)) = n, then dim(l^2) ≤1/2n(n-1) in this paper, we extend the converse of moneyhun’s theorem. also, we prove a wellknown result of nilpotent lie algebras by using a different technique
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کلیدواژه
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nilpotent lie algebra ,derived subalgebra ,frattini subalgebra
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آدرس
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islamic azad university, neyshabour branch, department of mathematics, iran
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پست الکترونیکی
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arabyani.h@gmail.com, h.arabyani@iau-neyshabur.ac.ir
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Authors
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