Geodesic
Quasi-boolean power of algebras and idempotent algebras
Proceedings of the Yerevan State University. Physical and mathematical sciences, Tome 53 (2019) no. 3, pp. 170-176

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In 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.
Keywords: quasi-boolean power, idempotent algebra, complete lattice, commutative algebra, algebra with transitive commutativity property.
Mots-clés : bihomomorphism 
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     title = {Quasi-boolean power of algebras and idempotent algebras},
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M. A. Yolchyan. Quasi-boolean power of algebras and idempotent algebras. Proceedings of the Yerevan State University. Physical and mathematical sciences, Tome 53 (2019) no. 3, pp. 170-176. http://geodesic.mathdoc.fr/item/UZERU_2019_53_3_a4/