REAL

Associative idempotent nondecreasing functions are reducible

Kiss, Gergely and Somlai, Gábor (2019) Associative idempotent nondecreasing functions are reducible. SEMIGROUP FORUM, 98 (1). pp. 140-153. ISSN 0037-1912

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Abstract

An n-variable associative function is called reducible if it can be written as a composition of a binary associative function. In this paper we summarise the known results when the function is defined on a chain and nondecreasing. The main result of this paper shows that associative idempotent and nondecreasing functions are uniquely reducible.

Item Type: Article
Subjects: Q Science / természettudomány > QA Mathematics / matematika
SWORD Depositor: MTMT SWORD
Depositing User: MTMT SWORD
Date Deposited: 05 Mar 2019 11:30
Last Modified: 05 Mar 2019 11:30
URI: http://real.mtak.hu/id/eprint/91767

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