DOIAbstract
AbstractMotivated by the rank-axiomatic definitions of a matroid and Woodall's characterization of independence systems [6] we provide an abstract framework for general independence systems in terms of their rank function
AbstractMotivated by the rank-axiomatic definitions of a matroid and Woodall's characterization of independence systems [6] we provide an abstract framework for general independence systems in terms of their rank function
Recently Dress and Wenzel introduced the concept of valuated matroid in terms of a quantitative exte...
The relative ranks of the monoid of endomorphisms of a strong independence algebra of infinite rank ...
Luce’s Independence from Irrelevant Alternatives (IIA) choice axiom states that the ratio of choice ...
AbstractMotivated by the rank-axiomatic definitions of a matroid and Woodall's characterization of i...
AbstractBy generalizing matroid axiomatics we provide a framework in which independence systems may ...
In a recent paper, Bruhn, Diestel, Kriesell and Wollan present four systems of axioms for infinite m...
AbstractLet E be an arbitrary set and ϱ a function from P(E) into the class of cardinals. Necessary ...
AbstractWe consider a class of matroids which we call ordered matroids. We show that these are the m...
THE axiomatic structure of the notion of independence in algebra has been investigated by several au...
AbstractThe problem of decomposing an independence system into the set-theoretic union of matroids i...
AbstractA submodular (and non-decreasing) function on a set induces an independence structure; the n...
AbstractIn the present paper we investigate properties of a general notion of independence and we us...
This paper deals with teh relationships between two classes of infinte matroids--the classes of matr...
AbstractWe determine the minimum number of independent sets of arbitrary fixed rank contained in a m...
AbstractBased only on the knowledge of the values of the rank function two procedures are given to c...
Recently Dress and Wenzel introduced the concept of valuated matroid in terms of a quantitative exte...
The relative ranks of the monoid of endomorphisms of a strong independence algebra of infinite rank ...
Luce’s Independence from Irrelevant Alternatives (IIA) choice axiom states that the ratio of choice ...
AbstractMotivated by the rank-axiomatic definitions of a matroid and Woodall's characterization of i...
AbstractBy generalizing matroid axiomatics we provide a framework in which independence systems may ...
In a recent paper, Bruhn, Diestel, Kriesell and Wollan present four systems of axioms for infinite m...
AbstractLet E be an arbitrary set and ϱ a function from P(E) into the class of cardinals. Necessary ...
AbstractWe consider a class of matroids which we call ordered matroids. We show that these are the m...
THE axiomatic structure of the notion of independence in algebra has been investigated by several au...
AbstractThe problem of decomposing an independence system into the set-theoretic union of matroids i...
AbstractA submodular (and non-decreasing) function on a set induces an independence structure; the n...
AbstractIn the present paper we investigate properties of a general notion of independence and we us...
This paper deals with teh relationships between two classes of infinte matroids--the classes of matr...
AbstractWe determine the minimum number of independent sets of arbitrary fixed rank contained in a m...
AbstractBased only on the knowledge of the values of the rank function two procedures are given to c...
Recently Dress and Wenzel introduced the concept of valuated matroid in terms of a quantitative exte...
The relative ranks of the monoid of endomorphisms of a strong independence algebra of infinite rank ...
Luce’s Independence from Irrelevant Alternatives (IIA) choice axiom states that the ratio of choice ...
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