Normal subgyrogroups of certain gyrogroups

Mahdavi Soheila; Ashrafi Ali-Reza; Salahshour Mohammad A

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293

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2023-08-07 15:08

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512.817 (1)

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SM ISO690:2012

MAHDAVI, Soheila, ASHRAFI, Ali-Reza, SALAHSHOUR, Mohammad A. Normal subgyrogroups of certain gyrogroups. In: Quasigroups and Related Systems, 2022, vol. 30, nr. 1(47), pp. 115-122. ISSN 1561-2848. DOI: https://doi.org/10.56415/qrs.v30.09

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Quasigroups and Related Systems

Volumul 30, Numărul 1(47) / 2022 / ISSN 1561-2848

Normal subgyrogroups of certain gyrogroups

DOI:https://doi.org/10.56415/qrs.v30.09

CZU: 512.817

Pag. 115-122

Mahdavi Soheila¹, Ashrafi Ali-Reza¹, Salahshour Mohammad A²

¹ University of Kashan,
² Islamic Azad University, Savadkooh

Disponibil în IBN: 30 mai 2022

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Suppose that (T;*) is a groupoid with a left identity such that each element a 2 T has a left inverse. Then T is called a gyrogroup if and only if (i) there exists a function gyr : T x T -Aut(T) such that for all a; b; c 2 T, a * (b * c) = (a * b) ? gyr[a; b]c, where gyr[a; b]c = gyr(a; b)(c); and (ii) for all a; b 2 T, gyr[a; b] = gyr[a ? b; b]. In this paper, the structure of normal subgyrogroups of certain gyrogroups are investigated.

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