Solutions to Some Open Problems on Totally Ordered Monoids

0348400 - ÚI 2011 RIV GB eng J - Journal Article
Horčík, Rostislav
Solutions to Some Open Problems on Totally Ordered Monoids.
Journal of Logic and Computation. Roč. 20, č. 4 (2010), s. 977-983. ISSN 0955-792X. E-ISSN 1465-363X
R&D Projects: GA AV ČR KJB100300701
Institutional research plan: CEZ:AV0Z10300504
Keywords : totally ordered commutative monoid * formally integral monoid * free commutative monoid * Archimedean class * ordinal sum
Subject RIV: BA - General Mathematics
Impact factor: 0.586, year: 2010

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.
Permanent Link: http://hdl.handle.net/11104/0188947