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Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2005, Number 2, Pages 65–71
(Mi basm128)
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This article is cited in 1 scientific paper (total in 1 paper)
On a Functional Equation with a Group Isotopy Property
Raisa Koval' Vinnitsa State Pedagogical University by Mykhail Kotsubynsky, Vinnitsa, Ukraine
Abstract:
The set of all solutions of functional equation $F_1(F_2(z;x);F_3(y;z))=F_4(F_5(x;y);x)$ on quasigroup operations of an arbitrary fixed set are found. The result implies W. Dudek's theorem [1], which presents the operation in a quasigroup satisfying the identity $xy\cdot x=zx\cdot yz$.
Keywords and phrases:
Quasigroup, functional equation, group isotope, identity.
Received: 23.05.2005
Citation:
Raisa Koval', “On a Functional Equation with a Group Isotopy Property”, Bul. Acad. Ştiinţe Repub. Mold. Mat., 2005, no. 2, 65–71
Linking options:
https://www.mathnet.ru/eng/basm128 https://www.mathnet.ru/eng/basm/y2005/i2/p65
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Abstract page: | 219 | Full-text PDF : | 64 | References: | 36 | First page: | 1 |
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