Characterizations of the anti-exchange closure
type: Item
instance of: scholarly article
title: Characterizations of the anti-exchange closure
zbMATH Open document ID: 0565.06005
author: Reinhard Thron
published in: Beiträge zur Algebra und Geometrie
publication date: 1985-01-01T00:00:00Z
full work available at URL: https://eudml.org/doc/138293
review text: Let X be a finite set. A closure operator C on \({\mathcal P}(X)\) is said to be anti-exchange if for each C-closed \(A\in {\mathcal P}(X)\) and any unequal x,y\(\in X\), with x,y\(\not\in A\) if \(x\in C(A\cup \{y\})\) then \(y\not\in C(A\cup \{x\})\). The author studies conditions under which a closure operator on \({\mathcal P}(X)\) is anti-exchange.
reviewed by: V. Yu. Meskhi
Mathematics Subject Classification ID: 06A15
zbMATH DE Number: 3900822
zbMATH Keywords: finite set
zbMATH Keywords: closure operator
zbMATH Keywords: anti-exchange
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 3900822