We show that the Buchberger algorithm for commutative polynomials over a field may be generalised to an algebraic structure which embeds such polymomials, the exterior polynomial algebra, and which is a natural domain for linear geometry. In particular, those finite sets of exterior polynomials whic
✦ LIBER ✦
The concept of Gröbner algebras
✍ Scribed by P. Beckmann; J. Stückrad
- Book ID
- 104344986
- Publisher
- Elsevier Science
- Year
- 1990
- Tongue
- English
- Weight
- 792 KB
- Volume
- 10
- Category
- Article
- ISSN
- 0747-7171
No coin nor oath required. For personal study only.
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We give an account of the theory of Gröbner bases for Clifford and Grassmann algebras, both important in physical applications. We describe a characterization criterion tailored to these algebras which is significantly simpler than those given earlier or for more general non-commuting algebras. Our
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It is shown that a finite-dimensional basic algebra over an algebraically closed field is representation-finite special biserial if and only if every module over it has a right Gröbner basis theory.