It is shown that an independence structure can be defined in a natural way on the set of uniform submodules of a module. Such an independence structure is modular. Thus, if it is connected and of rank at least three, it is a projective geometry coordinatizable over a division ring, of which we give a construction in terms of the module elements
In model theory, a branch of mathematical logic, we can classify mathematical structures based on th...
AbstractA circuit space is an independence space (or matroid) in which each basis is contained in a ...
AbstractBy constructing a correspondence relationship between independence spaces and posets, under ...
Two definitions of dimension of a module are each shown to be the rank of an independence structure ...
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...
An independence algebra is an algebra A in which the subalgebras satisfy the exchange axiom, and any...
This paper obtains some properties of the sub-independence-spaces of an independence space with the ...
AbstractWe study a class C of ℵ0-categorical simple structures such that every M in C has uncomplica...
AbstractWe define a formula φ(x;t) in a first-order language L, to be an equation in a category of L...
Let R be a ring with unity and N a left R-module. Then N is said linearly independent to R (or N is ...
AbstractWe investigate the algebra and geometry of the independence conditions on discrete random va...
We investigate the notion of independence, which is at the basis of many, seemingly unrelated, prope...
We investigate the relation of independence between varieties, as well as a generalisation of such w...
Let R be a ring with unity and N a left R-module. Then N is said linearly independent to R (or N is ...
In model theory, a branch of mathematical logic, we can classify mathematical structures based on th...
AbstractA circuit space is an independence space (or matroid) in which each basis is contained in a ...
AbstractBy constructing a correspondence relationship between independence spaces and posets, under ...
Two definitions of dimension of a module are each shown to be the rank of an independence structure ...
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...
An independence algebra is an algebra A in which the subalgebras satisfy the exchange axiom, and any...
This paper obtains some properties of the sub-independence-spaces of an independence space with the ...
AbstractWe study a class C of ℵ0-categorical simple structures such that every M in C has uncomplica...
AbstractWe define a formula φ(x;t) in a first-order language L, to be an equation in a category of L...
Let R be a ring with unity and N a left R-module. Then N is said linearly independent to R (or N is ...
AbstractWe investigate the algebra and geometry of the independence conditions on discrete random va...
We investigate the notion of independence, which is at the basis of many, seemingly unrelated, prope...
We investigate the relation of independence between varieties, as well as a generalisation of such w...
Let R be a ring with unity and N a left R-module. Then N is said linearly independent to R (or N is ...
In model theory, a branch of mathematical logic, we can classify mathematical structures based on th...
AbstractA circuit space is an independence space (or matroid) in which each basis is contained in a ...
AbstractBy constructing a correspondence relationship between independence spaces and posets, under ...
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