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Algebra and Discrete Mathematics, 2008, Issue 2, Pages 89–100 (Mi adm161)  
This article is cited in 3 scientific papers (total in 3 papers)

RESEARCH ARTICLE

The free spectra of varieties generated by idempotent semigroups

Gabriella Pluhára, Japheth Woodb

a Eötvös Loránd University, Department of Algebra and Number Theory, 1117 Budapest, Pázmány Péter sétány 1/c Hungary
b Bard College, MAT Program, PO Box 5000 Annandale-on-Hudson, NY 12504–5000
Full-text PDF (224 kB) Citations (3)
Abstract: We give an exact formula for the logarithm of the free spectra of band varieties. We show that the the logarithm of the size of a free algebra in a band variety is $\frac{4}{(k-3)!}n^{k-3}\log n-\frac{4}{(k-3)!}n^{k-3}\sum_{j=1}^{k-3}\frac{1}{j}+ O(n^{k-4}\log n)$, where $k$ is a constant depending on the variety.
Keywords: free spectra, semigroup, band.
Received: 14.07.2008
Revised: 14.07.2008
Bibliographic databases:
Document Type: Article
MSC: 20M05, 08B20
Language: English
Citation: Gabriella Pluhár, Japheth Wood, “The free spectra of varieties generated by idempotent semigroups”, Algebra Discrete Math., 2008, no. 2, 89–100
Citation in format AMSBIB
\Bibitem{PluWoo08}
\by Gabriella~Pluh\'ar, Japheth~Wood
\paper The free spectra of varieties generated by idempotent semigroups
\jour Algebra Discrete Math.
\yr 2008
\issue 2
\pages 89--100
\mathnet{http://mi.mathnet.ru/adm161}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2484594}
\zmath{https://zbmath.org/?q=an:1164.20016}
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