In this paper, we study conditions on algebras with multiplicative bases so that there is a Gröbner basis theory. We introduce right Gröbner bases for a class of modules. We give an elimination theory and intersection theory for right submodules of projective modules in path algebras. Solutions to h
✦ LIBER ✦
Gröbner bases and combinatorics for binary codes
✍ Scribed by M. Borges-Quintana; M. A. Borges-Trenard; P. Fitzpatrick; E. Martínez-Moro
- Book ID
- 105867531
- Publisher
- Springer
- Year
- 2008
- Tongue
- English
- Weight
- 224 KB
- Volume
- 19
- Category
- Article
- ISSN
- 0938-1279
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We show how the complexity of counting relates to the well known phenomenon that computing Gröbner bases under a lexicographic order is generally harder than total degree orders. We give simple examples of polynomials for which it is very easy to compute their Gröbner basis using a total degree orde