Quasi-boolean power of algebras and idempotent algebras. (English) Zbl 1437.08002
Summary: 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.
MSC:
| 08A02 | Relational systems, laws of composition |
| 08A05 | Structure theory of algebraic structures |
| 08A40 | Operations and polynomials in algebraic structures, primal algebras |
| 03C90 | Nonclassical models (Boolean-valued, sheaf, etc.) |
| 06E10 | Chain conditions, complete algebras |
| 08A30 | Subalgebras, congruence relations |
