2019; Physical and Mathematical Sciences, 53(3 (250): 170–176
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QUASI-BOOLEAN POWER OF ALGEBRAS AND IDEMPOTENT ALGEBRAS

Marlen Yolchyan*

Received: 2025-01-29 · Published: 2019-12-16

© 2019 The Author(s) and the original publisher.

CC BY-NC 4.0 This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.
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Original title
QUASI-BOOLEAN POWER OF ALGEBRAS AND IDEMPOTENT ALGEBRAS
Author
Marlen Yolchyan
Published
2019-12-16
Licence
Creative Commons Attribution-NonCommercial 4.0 International
Original
https://doi.org/10.46991/PYSU:A/2019.53.3.170

Abstract

In this paper we provide a necessity condition for embedding of the binary algebra into the quasi-boolean power of a rectangular algebra. It is also proved that every idempotent and hyperassociative algebra via the weak bihomomorphism maps in an idempotent and commutative algebra.
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