Kiss, Gergely and Somlai, Gábor (2018) A characterization of n-associative, monotone, idempotent functions on an interval that have neutral elements. Semigroup Forum, 96 (3). pp. 438-451. ISSN 0037-1912
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Official URL: https://doi.org/10.1007/s00233-017-9876-3
Abstract
We investigate monotone idempotent n-ary semigroups and provide a generalization of the Czogala-Drewniak Theorem, which describes the idempotent monotone associative functions having a neutral element. We also present a complete characterization of idempotent monotone n-associative functions on an interval that have neutral elements.
| Item Type: | Article |
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| Additional Information: | Funding Agency and Grant Number: University of Luxembourg [R-STR-1041-00-Z, R-AGR-0500-MR03]; Hungarian Scientific Research Fund (OTKA) [K104178, K115799] Funding text: Supported by the project R-STR-1041-00-Z of the University of Luxembourg. Gergely Kiss was supported by the Hungarian Scientific Research Fund (OTKA) K104178 and the internal research project R-AGR-0500-MR03 of the University of Luxembourg. Gabor Somlai was supported by the Hungarian Scientific Research Fund (OTKA) K115799. |
| Uncontrolled Keywords: | OPERATIONS; MONOTONICITY; ordered semigroups; Quasitrivial; Neutral element; n-associativity; Idempotency; |
| Subjects: | Q Science / természettudomány > QA Mathematics / matematika |
| SWORD Depositor: | MTMT SWORD |
| Depositing User: | MTMT SWORD |
| Date Deposited: | 04 Mar 2019 15:36 |
| Last Modified: | 04 Mar 2019 15:36 |
| URI: | http://real.mtak.hu/id/eprint/91750 |
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