Diagonal equivalence of matrices over a finite local ring
โ Scribed by B.R McDonald
- Publisher
- Elsevier Science
- Year
- 1972
- Tongue
- English
- Weight
- 223 KB
- Volume
- 13
- Category
- Article
- ISSN
- 0097-3165
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
MacWilliams' equivalence theorem states that Hamming isometries between linear codes extend to monomial transformations of the ambient space. One of the most elegant proofs for this result is due to K. P. Bogart et al. (1978, Inform. and Control 37, 19-22) where the invertibility of orthogonality ma
For a given m X n matrix A of rank I ov+r a finite field F, the number of generalized invers:s, of reflexive generalized inverses, of normalized generalized inverses, and of pseudoinverses of A are derermined by elementary methods. The more dticult problem of determining which m X n matrices A of ra
This article is devoted to the following problem: Let R be a finite local ring with identity. Can R be embedded into a matrix ring over a commutative ring? The question is reduced to an explicitly described class of test-cases.