Equivalence and perspectivity in Baer rings
β Scribed by S.K Berberian
- Publisher
- Elsevier Science
- Year
- 1984
- Tongue
- English
- Weight
- 483 KB
- Volume
- 87
- Category
- Article
- ISSN
- 0021-8693
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π SIMILAR VOLUMES
F. J. MacWilliams proved that Hamming isometries between linear codes extend to monomial transformations. This theorem has recently been generalized by J. Wood who proved it for Frobenius rings using character theoretic methods. The present paper provides a combinatorial approach: First we extend I.
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