Journal of the Australian Mathematical Society (Series A)

Table of Contents - 1983 - Volume 35, Issue 02  

Research Article

On the lattice of varieties of completely regular semigroups

P. R. Jonesa1

a1 Department of Mathematics, Statistics and Computer Science Marquette University Milwaukee, Wisconsin 53233, U.S.A.

Abstract

Several morphisms of this lattice V(CR) are found, leading to decompostions of it, and various sublattices, into subdirect products of interval sublattices. For example the map V → V xs222A G (where G is the variety of groups) is shown to be a retraction of V(CR); from modularity of the lattice V(BG) of varieties of bands of groups it follows that the map V → (V xs222A V V G) is an isomorphism of V(BG).

(Received September 15 1982)

1980 Mathematics subject classification (Amer. Math. Soc)

  • 20 M 07