Geodesic
Finiteness of Semigroups of Operators in Universal Algebra
Canadian journal of mathematics, Tome 19 (1967) no. 1, pp. 764-768

Voir la notice de l'article provenant de la source Cambridge University Press

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, Ps}, {C, H, S, P, PF } {C, H, S, PU, PF }.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. 
Nelson, Evelyn. Finiteness of Semigroups of Operators in Universal Algebra. Canadian journal of mathematics, Tome 19 (1967) no. 1, pp. 764-768. doi: 10.4153/CJM-1967-070-8
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