Abstract
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.
Publisher
Canadian Mathematical Society
Cited by
13 articles.
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1. The radical-annihilator monoid of a ring;Communications in Algebra;2016-10-07
2. The partially ordered monoid generated by the operators H, S, P u , P f on classes of algebras;Algebra universalis;2009-09
3. A note on homomorphic images, subalgebras and various products;algebra universalis;2005-02
4. On the Partially Ordered Monoid Generated by the Operators H, S, P, Ps on Classes of Algebras;Journal of Algebra;2001-11
5. Partially Ordered Monoids Generated by Operators H , S , P , and by H , S , P f Are Isomorphic;Semigroup Forum;2001-01-01