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A Commutative Algebra for Oriented Matroids

✍ Scribed by R. Cordovil


Book ID
106149339
Publisher
Springer
Year
2002
Tongue
English
Weight
104 KB
Volume
27
Category
Article
ISSN
0179-5376

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πŸ“œ SIMILAR VOLUMES


Separation theorems for oriented matroid
✍ Achim Bachem; Alfred Wanka πŸ“‚ Article πŸ“… 1988 πŸ› Elsevier Science 🌐 English βš– 877 KB

In this paper we show that Minty's lemma can be used to prove the Hahn-Banach theorem as well as other theorems in this class such as Radon's and Heiiy's theorem for oriented matroids having an intersection property which guarantees that every pair of flats intersects in some point extension 6 Up of

A Non-Commutative Algebra
✍ Clarence R. Perisho πŸ“‚ Article πŸ“… 1958 πŸ› School Science and Mathematics Association 🌐 English βš– 147 KB
On a Mutation Problem for Oriented Matro
✍ JΓΌrgen Bokowski; Holger Rohlfs πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 469 KB

For uniform oriented matroids M with n elements, there is in the realizable case a sharp lower bound L r (n) for the number mut(M) of mutations of M : L r (n) = n ≀ mut(M), see Shannon [17]. Finding a sharp lower bound L(n) ≀ mut(M) in the non-realizable case is an open problem for rank d β‰₯ 4. Las V