Published On July 31, 2023
Journal Issue LJRS Volume 23 Issue 11

Schauffler-Like Theorems for Medial and Paramedial Algebras

Dr. D. N. Harutyunyan,
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Research ID A2T9K

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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.

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Conflict of Interest

The authors declare no conflict of interest.

Ethical Approval

Not applicable

Data Availability

The datasets used in this study are openly available at [repository link] and the source code is available on GitHub at [GitHub link].

Funding

This work did not receive any external funding.

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  • Classification

    MSC 2010: 03C05, 03C85, 20N05

  • Version of record

    v1.0

  • Issue date

    31 July 2023

  • Language

    en

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