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Algebra and Discrete Mathematics, 2008, Issue 2, Pages 89–100
(Mi adm161)
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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
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
Citation:
Gabriella Pluhár, Japheth Wood, “The free spectra of varieties generated by idempotent semigroups”, Algebra Discrete Math., 2008, no. 2, 89–100
Linking options:
https://www.mathnet.ru/eng/adm161 https://www.mathnet.ru/eng/adm/y2008/i2/p89
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Statistics & downloads: |
Abstract page: | 97 | Full-text PDF : | 46 | First page: | 1 |
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