Variants of Essential Arity for Partial Functions

Erkko Lehtonen*; Nareupanat Lekkoksung

doi:10.5666/KMJ.2020.60.3.423

Article

Kyungpook Mathematical Journal 2020; 60(3): 423-443

Published online September 30, 2020

Variants of Essential Arity for Partial Functions

Erkko Lehtonen*, Nareupanat Lekkoksung

Institut für Algebra, Technische Universität Dresden, 01062 Dresden, Germany
e-mail : erkko.lehtonen@tu-dresden.de
Department of Mathematics, Faculty of Science, Khon Kaen University, 40002 Khon Kaen, Thailand
e-mail : n.lekkoksung@kkumail.com

Received: November 7, 2018; Revised: April 4, 2019; Accepted: August 22, 2019

Abstract

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Abstract

Generalizations of essential arity of partial functions, based on essential sets of arguments, are introduced, and their interplay with the minor relation of functions is investigated.

Keywords: partial function, essential argument, essential set of arguments