Equations in the theory of monadic algebras

Lucas, Th.

doi:10.1090/S0002-9939-1972-0292655-2

Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Equations in the theory of monadic algebras
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by Th. Lucas PDF

Proc. Amer. Math. Soc. 31 (1972), 239-244 Request permission

Abstract:

Identities in the theory of monadic algebras are equivalent to simpler “standard” ones. This property is used to prove some well-known results as well as to determine the minimum number of variables needed in an identity characterizing an equational class. Identities are also shown to be preserved under certain types of extension.

References

Cylindric algebras

Donald Monk, On equational classes of algebraic versions of logic. I, Math. Scand. 27 (1970), 53–71. MR 280345, DOI 10.7146/math.scand.a-10987
J. Donald Monk, Completions of Boolean algebras with operators, Math. Nachr. 46 (1970), 47–55. MR 277369, DOI 10.1002/mana.19700460105