Devillet, Jimmy and Kiss, Gergely and Marichal, Jean-Luc (2019) Characterizations of quasitrivial symmetric nondecreasing associative operations. SEMIGROUP FORUM, 98 (1). pp. 154-171. ISSN 0037-1912
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Official URL: https://doi.org/10.1007/s00233-018-9980-z
Abstract
In this paper we are interested in the class of n-ary operations on an arbitrary chain that are quasitrivial, symmetric, nondecreasing, and associative. We first provide a description of these operations. We then prove that associativity can be replaced with bisymmetry in the definition of this class. Finally we investigate the special situation where the chain is finite.
| Item Type: | Article |
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| Subjects: | Q Science / természettudomány > QA Mathematics / matematika |
| SWORD Depositor: | MTMT SWORD |
| Depositing User: | MTMT SWORD |
| Date Deposited: | 05 Mar 2019 12:24 |
| Last Modified: | 05 Mar 2019 12:24 |
| URI: | http://real.mtak.hu/id/eprint/91769 |
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