Dependence systems with the operator-image exchange property
type: Item
instance of: scholarly article
title: Dependence systems with the operator-image exchange property
zbMATH Open document ID: 0809.05026
DOI: 10.1016/0012-365X(94)90030-2
author: Marcin J. Schroeder
published in: Discrete Mathematics
publication date: 1995-03-20T00:00:00Z
review text: The author defines a new property of the operators on a set \(S\); he calls it operator-image exchange property. The mean result of the paper gives the connection of the dual operator-image exchange property with the classical exchange property of finite independent sets. The author shows that the operator-image exchange property is a strengthening of the dual of the exchange property for finite independent sets. The other parts of the paper contain some relations of this new property to the other ones and a brief review of dependence system theory.
Mathematics Subject Classification ID: 05B35
Mathematics Subject Classification ID: 47H05
zbMATH DE Number: 681702
zbMATH Keywords: monotone function
zbMATH Keywords: operator-image exchange property
zbMATH Keywords: finite independent sets
zbMATH Keywords: dependence system
reviewed by: Ákos G. Horváth
MaRDI profile type: Publication
cites work: Q3669397
cites work: First-order theories of abstract dependence relations
cites work: Q3941433
cites work: Q5515373
cites work: Key notions of Tarski's methodology of deductive systems
cites work: Algebraic Dependence Structures
cites work: Q3729580
cites work: Q5572358
cites work: Q5592133
cites work: Matroids and duality
cites work: Q3940405
cites work: A basis theorem for free inverse semigroups
cites work: Basis properties for inverse semigroups
cites work: Exchange properties and basis properties for closure operators
cites work: Q5636903
cites work: On a certain class of abstract algebras
cites work: Functional Dependence
cites work: Infinite Matroids
cites work: Mehrstufige Austauschstrukturen
cites work: Q5555511
cites work: Biembeddings of 2-rotational Steiner triple systems
cites work: Lectures on matroids
description: scientific article; zbMATH DE number 681702