Some Pseudovariety Joins InvolvingLocally Trivial Semigroups |
| |
| Authors: | José Carlos Costa |
| |
| Institution: | (1) Research supported by INVOTAN, grant 4/A/94/PO and by Centro de Matemática da Universidade do Minho. The author is member of the project AGC contract Praxis/ 2/2.1/MAT/63/94., PT |
| |
| Abstract: | This paper is concerned with the computation of pseudovariety joins involving the pseudovariety L I of locally trivial semigroups. We compute, in particular, the join of L I with any subpseudovariety of CR(m in circle)N, the Mal'cev product of the pseudovariety of completely regular semigroups
and the pseudovariety of nilpotent semigroups. Similar studies are conducted for the pseudovarieties K, D and N, where K (resp.
D) is the pseudovariety of all semigroups S such that eS=e (resp. Se=e ) for each idempotent e of S .
May 5, 1999 |
| |
| Keywords: | |
| 本文献已被 SpringerLink 等数据库收录！ |
|
