The free spectra of varieties generated by idempotent semigroups
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 depen...
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| Date: | 2018 |
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| Main Authors: | , |
| Format: | Article |
| Language: | English |
| Published: |
Lugansk National Taras Shevchenko University
2018
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| Subjects: | |
| Online Access: | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/811 |
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| Journal Title: | Algebra and Discrete Mathematics |
Institution
Algebra and Discrete Mathematics| Summary: | 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. |
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