Minimal Noncryptic e-Varieties of Regular Semigroups

Authors

Francis Pastijn, Marquette UniversityFollow
M. V. Volkov, Ural State University

Document Type

Article

Language

eng

Publication Date

9-15-1996

Publisher

Elsevier

Source Publication

Journal of Algebra

Source ISSN

0021-8693

Abstract

We describe all minimal noncryptic e-varieties of regular semigroups, thus generalising earlier results by Rasin and Reilly that dealt with the completely regular and the inverse cases, respectively. As corollaries, we prove that an e-variety of regular semigroups is cryptic if and only if its intersections with the variety of all completely regular semigroups and the variety of all inverse semigroups are cryptic. We also find an equational characterization of group-bound cryptic varieties; this generalises some recent results by Doyle and Yeh.

Comments

Journal of Algebra, Vol. 184, No. 3 (September 15, 1996): 881-896. DOI.

Recommended Citation

Pastijn, Francis and Volkov, M. V., "Minimal Noncryptic e-Varieties of Regular Semigroups" (1996). Mathematics, Statistics and Computer Science Faculty Research and Publications. 605.
https://epublications.marquette.edu/mscs_fac/605