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 |
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Algebra and Discrete Mathematics| _version_ | 1856543271722942464 |
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| author | Pluhar, Gabriella Wood, Japheth |
| author_facet | Pluhar, Gabriella Wood, Japheth |
| author_sort | Pluhar, Gabriella |
| baseUrl_str | |
| collection | OJS |
| datestamp_date | 2018-03-22T09:39:19Z |
| description | 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. |
| first_indexed | 2026-02-08T08:00:35Z |
| format | Article |
| id | admjournalluguniveduua-article-811 |
| institution | Algebra and Discrete Mathematics |
| language | English |
| last_indexed | 2026-02-08T08:00:35Z |
| publishDate | 2018 |
| publisher | Lugansk National Taras Shevchenko University |
| record_format | ojs |
| spelling | admjournalluguniveduua-article-8112018-03-22T09:39:19Z The free spectra of varieties generated by idempotent semigroups Pluhar, Gabriella Wood, Japheth free spectra, semigroup, band 20M05, 08B20 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. Lugansk National Taras Shevchenko University 2018-03-22 Article Article Peer-reviewed Article application/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/view/811 Algebra and Discrete Mathematics; Vol 7, No 2 (2008) 2415-721X 1726-3255 en https://admjournal.luguniv.edu.ua/index.php/adm/article/view/811/341 Copyright (c) 2018 Algebra and Discrete Mathematics |
| spellingShingle | free spectra semigroup band 20M05 08B20 Pluhar, Gabriella Wood, Japheth The free spectra of varieties generated by idempotent semigroups |
| title | The free spectra of varieties generated by idempotent semigroups |
| title_full | The free spectra of varieties generated by idempotent semigroups |
| title_fullStr | The free spectra of varieties generated by idempotent semigroups |
| title_full_unstemmed | The free spectra of varieties generated by idempotent semigroups |
| title_short | The free spectra of varieties generated by idempotent semigroups |
| title_sort | free spectra of varieties generated by idempotent semigroups |
| topic | free spectra semigroup band 20M05 08B20 |
| topic_facet | free spectra semigroup band 20M05 08B20 |
| url | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/811 |
| work_keys_str_mv | AT pluhargabriella thefreespectraofvarietiesgeneratedbyidempotentsemigroups AT woodjapheth thefreespectraofvarietiesgeneratedbyidempotentsemigroups AT pluhargabriella freespectraofvarietiesgeneratedbyidempotentsemigroups AT woodjapheth freespectraofvarietiesgeneratedbyidempotentsemigroups |