Isomorphism Theorem on Vector Spaces over a Ring

Vector ultrametric spaces and a fixed point theorem for correspondences

In this paper, vector ultrametric spaces are introduced and a fixed point theorem is given for correspondences. Our main result generalizes a known theorem in ordinary ultrametric spaces.

Fan-KKM Theorem in Minimal Vector Spaces and its Applications

In this paper, after reviewing some results in minimal space, some new results in this setting are given. We prove a generalized form of the Fan-KKM typetheorem in minimal vector spaces. As some applications, the open type of matching theorem and generalized form of the classical KKM theorem in minimal vector spaces are given.

vector ultrametric spaces and a fixed point theorem for correspondences

in this paper, vector ultrametric spaces are introduced and a fixed point theorem is given forcorrespondences. our main result generalizes a known theorem in ordinary ultrametric spaces.

A Hilton-Milner Theorem for Vector Spaces

We show for k ≥ 3 that if q ≥ 3, n ≥ 2k + 1 or q = 2, n ≥ 2k + 2, then any intersecting family F of k-subspaces of an n-dimensional vector space over GF (q) with ⋂ F∈F F = 0 has size at most [ n−1 k−1 ] − qk(k−1) [ n−k−1 k−1 ] +qk. This bound is sharp as is shown by Hilton-Milner type families. As an application of this result, we determine the chromatic number of the corresponding q-Kneser gra...

A Theorem on Matrices over a Commutative Ring