Add to ORKGTHE axiomatic structure of the notion of independence in algebra has been investigated by several authors. In particular, Hassler Whitney (1) has made a thorough study of this topic. Further references are given in (2). In the present note independence functions (/-functions) will be defined
A universal algebra 𝔸 with underlying set A is said to be a matroid algebra if ⟨A, ⟨•⟩⟩ wher...
AbstractBy generalizing matroid axiomatics we provide a framework in which independence systems may ...
We give a definition of some classes of boolean algebras generalizing free boolean algebras; they sa...
In this paper we describe how independence algebras could have been discovered and how v∗-algebras p...
AbstractThe notion of algebraic dependence in the ring of arithmetic functions with addition and Dir...
An independence algebra is an algebra A in which the subalgebras satisfy the exchange axiom, and any...
AbstractIn the present paper we investigate properties of a general notion of independence and we us...
AbstractMotivated by the rank-axiomatic definitions of a matroid and Woodall's characterization of i...
We present a framework for studying the concept of independence in a general context covering databa...
Abstract We prove algebraic independence of functions satisfying a simple form of algebraic Mahler f...
In the last five years there has been very significant progress in the development of transcendence ...
A first-order theory T has the Independence Property provided deduction of a statement of type (quan...
We prove the linear independence of the members of a large class of L-functions defined axiomaticall...
This paper obtains some properties of the sub-independence-spaces of an independence space with the ...
In this paper, we axiomatize the negatable consequences in dependence and independence logic by exte...
A universal algebra 𝔸 with underlying set A is said to be a matroid algebra if ⟨A, ⟨•⟩⟩ wher...
AbstractBy generalizing matroid axiomatics we provide a framework in which independence systems may ...
We give a definition of some classes of boolean algebras generalizing free boolean algebras; they sa...
In this paper we describe how independence algebras could have been discovered and how v∗-algebras p...
AbstractThe notion of algebraic dependence in the ring of arithmetic functions with addition and Dir...
An independence algebra is an algebra A in which the subalgebras satisfy the exchange axiom, and any...
AbstractIn the present paper we investigate properties of a general notion of independence and we us...
AbstractMotivated by the rank-axiomatic definitions of a matroid and Woodall's characterization of i...
We present a framework for studying the concept of independence in a general context covering databa...
Abstract We prove algebraic independence of functions satisfying a simple form of algebraic Mahler f...
In the last five years there has been very significant progress in the development of transcendence ...
A first-order theory T has the Independence Property provided deduction of a statement of type (quan...
We prove the linear independence of the members of a large class of L-functions defined axiomaticall...
This paper obtains some properties of the sub-independence-spaces of an independence space with the ...
In this paper, we axiomatize the negatable consequences in dependence and independence logic by exte...
A universal algebra 𝔸 with underlying set A is said to be a matroid algebra if ⟨A, ⟨•⟩⟩ wher...
AbstractBy generalizing matroid axiomatics we provide a framework in which independence systems may ...
We give a definition of some classes of boolean algebras generalizing free boolean algebras; they sa...