Abstract
AbstractWe establish a necessary condition (E) for a semigroup variety to be closed under the taking of epimorphisms and a necessary condition (S) for a variety to consist entirely of saturated semigroups. Condition (S) is shown to be sufficient for heterotypical varieties and a stronger condition (S′) is shown to be sufficient for homotypical varieties.
Publisher
Cambridge University Press (CUP)
Subject
General Mathematics,Statistics and Probability
Reference22 articles.
1. On epimorphisms in the category of all associative rings;Bulaszewska;Bull Acad. Polon. Sci. Sér. Sci. Math. Astronom. Phys.,1975
2. A certain class of identities on semigroups
3. Semigroups satisfying minimal conditions
4. [20] Khan N. M. , ‘On saturated and epimorphically closed permutative varieties and consequences of permutation identities’, submitted.
5. Epimorphisms, dominions and varieties of semigroups
Cited by
16 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献