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construction of new gyrogroups and the structure of their subgyrogroups
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نویسنده
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ashrafi ali reza ,salahshour mohammad ali ,mahdavi soheila
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منبع
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journal of algebraic structures and their applications - 2021 - دوره : 8 - شماره : 2 - صفحه:17 -30
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چکیده
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Suppose that g is a groupoid with binary operation ⊗. the pair (g,⊗) is said to be a gyrogroup if the operation ⊗ has a left identity, each element a ∈ g has a left inverse and the left gyroassociative law and the left loop property are satisfied in g. in this paper, a method for constructing new gyrogroups from old ones is presented and the structure of subgyrogroups of these gyrogroups are also given. as a consequence of this work, five 2−gyrogroups of order 2n, n ≥ 3, are presented. some open questions are also proposed.
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کلیدواژه
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gyrogroup ,groupoid ,subgyrogroup
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آدرس
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university of kashan, faculty of mathematical sciences, department of pure mathematics, iran, islamic azad university, savadkooh branch, department of mathematics, iran, university of kashan, faculty of mathematical sciences, department of pure mathematics, iran
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پست الکترونیکی
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s.mahdavi@grad.kashanu.ac.ir
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Authors
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