ON FREE ALGEBRAS IN VARIETIES GENERATED BY ITERATED SEMIDIRECT PRODUCTS OF SEMILATTICES-Reference-Cited by-同舟云学术

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ON FREE ALGEBRAS IN VARIETIES GENERATED BY ITERATED SEMIDIRECT PRODUCTS OF SEMILATTICES

Published:2012-11 Issue:07 Volume:22 Page:1250063
ISSN:0218-1967
Container-title:International Journal of Algebra and Computation
language:en
Short-container-title:Int. J. Algebra Comput.

Author:

HORVÁTH GÁBOR¹,KÁTAI-URBÁN KAMILLA²,PACH PÉTER PÁL³,PLUHÁR GABRIELLA³,PONGRÁCZ ANDRÁS⁴,SZABÓ CSABA³

Affiliation:

1. Institute of Mathematics, University of Debrecen, Pf. 12, 4010 Debrecen, Hungary

2. Bolyai Institute, University of Szeged, Aradi Vértanúk Tere 1, 6720 Szeged, Hungary

3. Department of Algebra and Number Theory, Eötvös Loránd University, Pázmány Péter Sétány 1/c, 1117 Budapest, Hungary

4. Central European University, Budapest, Hungary

Abstract

We present a new solution of the word problem of free algebras in varieties generated by iterated semidirect products of semilattices. As a consequence, we provide asymptotical bounds for free spectra of these varieties. In particular, each finite [Formula: see text]-trivial (and, dually, each finite [Formula: see text]-trivial) semigroup has a free spectrum whose logarithm is bounded above by a polynomial function.

Publisher

World Scientific Pub Co Pte Lt

Subject

General Mathematics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218196712500634

Reference13 articles.

1. On iterated semidirect products of finite semilattices

2. On free spectra of finite completely regular semigroups and monoids

3. ON FREE SPECTRA OF LOCALLY TESTABLE SEMIGROUP VARIETIES

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