Schauffler-Like Theorems for Medial and Paramedial Algebras
Abstract
In [1], The endolinearity of regular division binary algebras satisfying second-order associativity identities was shown. Furthermore, schaufler- like theorems were proven for these algebras. This paper aims to establish similar results for regular division binary algebras satisfying second-order identities of mediality or paramediality. MSC 2010: 03C05, 03C85, 20N05.
References
Y.M. Movsisyan, D.N. Harutyunyan (2023) Schauffler-Type Theorems. 58, 116%E2%80%93124. https://doi.org/10.3103/S1068362323020073
A.A. Albert (1943) Quasigroup I. 54, 507-519.
A.A. Albert (1944) Quasigroup II. 55, 401-419.
R. Schauffler (1948) Eine Anwendung zyklischer Permutationen and ihre Theorie.
R. Schauffler (1956) %C3%9Cber die Bildung von Codew%C3%B6rtern. 10, 303-314.
R. Schauffler (1957) Die Associativit%C3%A4t im Ganzen, besonders bei Quasigruppen. 67, 428-435.
Yu. Movsisyan (1993) On a theorem of Schauffler. 53(2), 172-179.
Yu. Movsisyan (1986) Introduction to the theory of algebras with hyperidentities (in Russian).
Yu. Movsisyan (1990) Hyperidentities and hypervarieties in algebras(in Russian).
Yu. Movsisyan (2022) Hyperidentities: Boolean And De Morgan Structures.
V.D. Belousov (1961) %E2%80%9CGlobally associative systems of quasigroups,%E2%80%9D. 55 (2), 221%E2%80%93236.
S. Davidov, A. Krapež, Yu. Movsisyan (2018) Functional equations with division and regular operations. 11(03), 1850033. https://doi.org/10.1142/S179355711850033X
Downloads
Published
Issue
Section
License
Copyright (c) 2023 Authors and Global Journals Private Limited

This work is licensed under a Creative Commons Attribution 4.0 International License.
