The determinal rank idempotents of a matrix
โ Scribed by Donald W. Robinson
- Publisher
- Elsevier Science
- Year
- 1996
- Tongue
- English
- Weight
- 538 KB
- Volume
- 237-238
- Category
- Article
- ISSN
- 0024-3795
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
Define the perrank of a matrix A to be the size of the largest square submatrix of A with nonzero permanent. Motivated in part by the Alon Jaeger Tarsi Conjecture [3], we prove several results on perranks..
Let R be a complete blocked triangular matrix algebra over an infinite field F. Assume that R is not an upper triangular matrix algebra or a full matrix algebra. ลฝ . We prove that the minimum number s R such that R can be generated as an F-algebra by idempotents, is given by where m is the number
In order to prove the result mentioned above, we show that R s log m 2 for every m G 2, where R ลฝ m. denotes the direct sum of m copies of R. The ลฝ . latter result corrects an error by N.