On the Lattice of Varieties of Completely Regular Semigroups

Norman R. Reilly
Additional contact information
Norman R. Reilly: Simon Fraser University, Department of Mathematics

A chapter in Semigroups and Their Applications, 1987, pp 153-167 from Springer

Abstract: Abstract Completely regular semigroups are semigroups which are (disjoint) unions of groups. In this article we review the progress made in the study of the lattice L(CR) of varieties of completely regular semigroups. Various results describing the lattice of sub-varieties L(U) of some proper subvariety U of CR are given; for example, with U equal to the variety of bands, central completely simple semigroups and several other interesting varieties. In the final section, certain global decompositions of L(CR) using the concepts of kernel, left trace and right trace are discussed.

Date: 1987
References: Add references at CitEc
Citations:

There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-94-009-3839-7_19

Ordering information: This item can be ordered from
http://www.springer.com/9789400938397

DOI: 10.1007/978-94-009-3839-7_19

Access Statistics for this chapter

More chapters in Springer Books from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().