CHARACTERIZATION OF CROSS VARIETIES OF $\boldsymbol {J}$ -TRIVIAL MONOIDS
Abstract
Abstract A finitely based, finitely generated variety with finitely many subvarieties is a Cross variety. In the present article, it is shown that a variety of J -trivial monoids is Cross if and only if it excludes 14 specific almost Cross varieties. Consequently, these 14 varieties exhaust all almost Cross varieties of J -trivial monoids.
Fields of Study & Subjects
Advanced Algebra and Logic
semigroups and automata theory
Fuzzy and Soft Set Theory
Publication details
- Journal / source
- Journal of the Australian Mathematical Society
- Publisher
- Cambridge University Press (CUP)
- Pages
- 1–29
- Publication date
- 20 May 2026
- Language
- EN