𝔖 Bobbio Scriptorium
✦   LIBER   ✦

A combinatorial proof of the Cayley-Hamilton theorem

✍ Scribed by Howard Straubing


Publisher
Elsevier Science
Year
1983
Tongue
English
Weight
600 KB
Volume
43
Category
Article
ISSN
0012-365X

No coin nor oath required. For personal study only.


πŸ“œ SIMILAR VOLUMES


A Cayley–Hamilton Theorem for the Skew C
✍ Minoru Itoh πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 161 KB

For the central elements of the universal enveloping algebra of the Lie algebra n named "the skew Capelli elements," a Cayley-Hamilton type formula is given. Its classical counterpart is an elementary formula for two alternating matrices. As a byproduct of the main result, the description of the ske

A Proof of the Compactness Theorem
✍ Kenneth J. Danhof πŸ“‚ Article πŸ“… 1974 πŸ› John Wiley and Sons 🌐 English βš– 261 KB πŸ‘ 1 views
A proof of the linkage theorem
✍ J.S. Pym πŸ“‚ Article πŸ“… 1969 πŸ› Elsevier Science 🌐 English βš– 135 KB
A Combinatorial Proof of the Effective N
✍ Thomas W. DubΓ© πŸ“‚ Article πŸ“… 1993 πŸ› Elsevier Science 🌐 English βš– 481 KB

Let \(I\) be an ideal in the affine multi-variate polynomial ring \(\mathcal{A}=K\left[x_{1}, \ldots, x_{n}\right]\). Beginning with the work of Brownawell, there has been renewed interest in recent years in using the degrees of polynomials which generate \(I\) to bound the degree \(D\) such that: