THE VARIETY GENERATED BY A CERTAIN TRANSFORMATION MONOID-Reference-Cited by-同舟云学术

THE VARIETY GENERATED BY A CERTAIN TRANSFORMATION MONOID

Published:2008-11 Issue:07 Volume:18 Page:1193-1201
ISSN:0218-1967
Container-title:International Journal of Algebra and Computation
language:en
Short-container-title:Int. J. Algebra Comput.

Author:

ZHANG WENTING¹,LUO YANFENG¹

Affiliation:

1. Department of Mathematics, Lanzhou University, Lanzhou, Gansu, 730000, P. R. China

Abstract

It is shown that the transformation monoid [Formula: see text] is finitely based and a finite identity basis for [Formula: see text] is given, which solves the finite basis problem for [Formula: see text]. It is also shown that the variety Var[Formula: see text] generated by [Formula: see text] for which xyx is not an isoterm has uncountably many subvarieties, which gives an affirmative answer to a question of Jackson.

Publisher

World Scientific Pub Co Pte Lt

Subject

General Mathematics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218196708004810

Reference4 articles.

1. A Course in Universal Algebra

2. London Mathematical Society Monographs;Howie J. M.,1995

3. Finite Semigroups Whose Varieties Have Uncountably Many Subvarieties

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