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Entropic Pairs of Operations and Generalized Endomorphisms

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Abstract

In this paper, we define concepts of entropic pairs of operations and the generalized endomorphism for an algebra and investigate the relationships between them. We characterize entropic pairs of operations of quasigroups and show that in some cases, the presence of a generalized endomorphism is equivalent to the entropic property for an algebra.

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Authors and Affiliations

  1. Islamic Azad University, Tehran, Iran

    A. Ehsani

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  1. A. Ehsani
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Correspondence to A. Ehsani.

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Translated from Sovremennaya Matematika i Ee Prilozheniya (Contemporary Mathematics and Its Applications), Vol. 80, Proceedings of the International Conference “Modern Algebra and Its Applications” (Batumi, 2011), Part 1, 2012.

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Ehsani, A. Entropic Pairs of Operations and Generalized Endomorphisms. J Math Sci 193, 414–417 (2013). https://doi.org/10.1007/s10958-013-1470-y

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  • DOI: https://doi.org/10.1007/s10958-013-1470-y

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