Kátai-Urbán, Kamilla and Pongrácz, András and Szabó, Csaba (2019) The fine- and generative spectra of varieties of monounary algebras. Algebra Universalis, 80 (22). 18-pp. ISSN 0002-5240
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Abstract
In this paper we present recursive formulas to compute the fine spectrum and generative spectrum of all varieties of monounary algebras. Hence, an asymptotic or log-asymptotic estimation for the number of n-generated and n-element algebras is given in every variety of monounary algebras. These results provide infinitely many examples of spectra with different orders of magnitude that are asymptotically bigger than any polynomial and smaller than any exponential function.
| Item Type: | Article |
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| Subjects: | Q Science / természettudomány > QA Mathematics / matematika > QA72 Algebra / algebra |
| Depositing User: | Dr. András Pongrácz |
| Date Deposited: | 12 Sep 2020 17:15 |
| Last Modified: | 31 Dec 2020 00:50 |
| URI: | http://real.mtak.hu/id/eprint/113097 |
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The fine- and generative spectra of varieties of monounary algebras. (deposited 25 Sep 2018 03:02)
- The fine- and generative spectra of varieties of monounary algebras. (deposited 12 Sep 2020 17:15) [Currently Displayed]
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