Solutions to Some Open Problems on Totally Ordered Monoids

Authors: Rostislav Horčík
Publication year: 2010
Publication type: Článek v odborném periodiku
Periodical: Journal of Logic and Computation
Projects: Complexity of t-norm based logics - algebraic and proof-theoretical approach
Bibliographic citation: HORČÍK, Rostislav. Solutions to Some Open Problems on Totally Ordered Monoids. Journal of Logic and Computation. 2010, 20(4), 977-983. ISSN 0955-792X. E-ISSN 1465-363X
Dostupné z: doi:10.1093/logcom/exn083
DOI: 10.1093/logcom/exn083
ID: 348400

Abstract

In this article, solutions to three open problems on ordered commutative monoids posed in Evans et al. (2001, Semigroup forum, 62, 249-278) are presented. By an ordered monoid, we always mean a totally ordered monoid. All the problems are related to the class of ordered commutative monoids which are homomorphic images of ordered free commutative monoids.