Structure theory for equational classes generated by quasi-primal algebras

Quackenbush, Robert W.

doi:10.1090/S0002-9947-1974-0327619-X

Structure theory for equational classes generated by quasi-primal algebras
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by Robert W. Quackenbush

Trans. Amer. Math. Soc. 187 (1974), 127-145

DOI: https://doi.org/10.1090/S0002-9947-1974-0327619-X

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Abstract:

Quasi-primal algebras (which include finite simple polyadic and cylindric algebras) were introduced by A. S. Pixley. In this paper equational classes generated hy quasi-primal algebras are investigated with respect to the following concepts: the congruence extension property, the amalgamation property and the amalgamation class, weak injectives and weak injective hulls, the standard semigroup of operators. A brief discussion of monadic algebras is included to illustrate the results of the paper.

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On some operations on classes of algebras

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