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The basis monomial ring of a matroid

✍ Scribed by Neil L White

Publisher
Elsevier Science
Year
1977
Tongue
English
Weight
331 KB
Volume
24
Category
Article
ISSN
0001-8708

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✦ Synopsis

We define the basis monomial ring M, of a matroid G and prove that it is Cohen-Macaulay for finite G. We then compute the Krull dimension of M, , which is the rank over Q of the basis-point incidence matrix of G, and prove that dim B, > dim M, under a certain hypothesis on coordinatizability of G, where Bo is the bracket ring of G.

πŸ“œ SIMILAR VOLUMES

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