Bijective linear maps on semimodules spanned by Boolean matrices of fixed rank

• Main Authors: Lim, Ming Huat, Tan, Sin Chee
• Format: Article
• Published: Elsevier Science Inc 2010
• Subjects: Q Science (General)
• Online Access: http://eprints.um.edu.my/11892/
• Institution: Universiti Malaya

Let M(m,n) (B) be the semimodule of all m x 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 b...