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On bilinear maps determined by rank one matrices with some applications

✍ Scribed by Long Wang; Yizheng Fan; Xiaobin Ma

Publisher
Elsevier Science
Year
2011
Tongue
English
Weight
184 KB
Volume
434
Category
Article
ISSN
0024-3795

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πŸ“œ SIMILAR VOLUMES

Bijective linear maps on semimodules spa
Bijective linear maps on semimodules spanned by Boolean matrices of fixed rank
✍ Ming-Huat Lim; Sin-Chee Tan πŸ“‚ Article πŸ“… 2010 πŸ› Elsevier Science 🌐 English βš– 180 KB

Let M m,n (B) be the semimodule of all m Γ— n Boolean matrices where B is the Boolean algebra with two elements. Let k be a positive integer such that 2 k min (m, n). Let B (m, n, k) denote the subsemimodule of M m,n (B) spanned by the set of all rank k matrices. We show that if T is a bijective line