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Finiteness of Semigroups of Operators in Universal Algebra

1967; Cambridge University Press; Volume: 19; Linguagem: Inglês

10.4153/cjm-1967-070-8

1496-4279

Evelyn Nelson,

Fuzzy and Soft Set Theory

This paper is a partial solution of problem 24 in (2) which suggests that the finiteness of the partially ordered semigroups generated by various combinations of operators on classes of universal algebras be investigated. The main result is that the semigroups generated by the following sets of operators (for definitions see §2) are finite: {H, S, P, P s }, {C, H, S, P, P F } { C, H, S, P U , P F }. This paper is part of the author's Master's thesis written in the Department of Mathematics at McMaster University. The author is indebted to the referee for his helpful suggestions.