Arities and arizabilities of group, monoid and groupoid theories Full article
| Journal |
Lobachevskii Journal of Mathematics
ISSN: 1995-0802 , E-ISSN: 1818-9962 |
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| Output data | Year: 2022, Volume: 43, Number: 3, Pages: 682-686 Pages count : 5 DOI: 10.1134/S1995080222060270 | ||||
| Tags | elementary theory, arity, aritizability, group, monoid, groupoid | ||||
| Authors |
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| Affiliations |
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Funding (1)
| 1 | Sobolev Institute of Mathematics | FWNF-2022-0012 |
Abstract:
We study applications of a general approach for arities and arizabilities of theories to group and monoid theories. It is proved that a theory of a group G is aritizable if and only if G is finite. It is shown that this criterion does not hold for monoids: there is an infinite monoid having a binary theory.
Cite:
Павлюк И.И.
, Sudoplatov S.V.
Arities and arizabilities of group, monoid and groupoid theories
Lobachevskii Journal of Mathematics. 2022. V.43. N3. P.682-686. DOI: 10.1134/S1995080222060270 WOS Scopus РИНЦ OpenAlex
Arities and arizabilities of group, monoid and groupoid theories
Lobachevskii Journal of Mathematics. 2022. V.43. N3. P.682-686. DOI: 10.1134/S1995080222060270 WOS Scopus РИНЦ OpenAlex
Dates:
| Submitted: | Dec 13, 2021 |
| Accepted: | Jan 10, 2022 |
| Published print: | Apr 30, 2022 |
| Published online: | Apr 30, 2022 |
Identifiers:
| Web of science: | WOS:000826052000019 |
| Scopus: | 2-s2.0-85134290870 |
| Elibrary: | 48506138 |
| OpenAlex: | W4285610378 |
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