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Showing 1 to 2 of 2 for “"minimal rank"”.
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The Relationship Between the Minimal Rank of a Tree and the Rank-Spreads of the Vertices and Edges
… to the edges of G. Let mr(F,G)be the minimum rank over all matrices in S(F,G). We give a field independent proof of a well-known result that for a tree the sum of its path cover number and minimal rank is equal to the number of vertices in the tree. The rank-spread of a vertex v of G is the …
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Group rings over the p-adic integers
… basic orders of such blocks, that is, orders of minimal rank in the Morita equivalence class of the order in question. This thesis combines arithmetic methods from the theory of orders in semi simple algebras with methods from modular representation theory and representation theory of algebras …