Linear operators that strongly preserve commuting pairs of Boolean matrices
β Scribed by LeRoy B. Beasley; Norman J. Pullman
- Publisher
- Elsevier Science
- Year
- 1990
- Tongue
- English
- Weight
- 445 KB
- Volume
- 132
- Category
- Article
- ISSN
- 0024-3795
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π SIMILAR VOLUMES
Beasley, L.B. and N.J. Pullman, Linear operators that strongly preserve graphical properties of matrices, Discrete Mathematics 104 (1992) 143-157. An operator on the set Ju of n X n matrices strongly preserves a subset 9 if it maps 9 into 9 and A\% into A\%. The operator semigroup of 9 is the semig
A pair of m Γ n matrices (A, B) is said to be rank-sum-maximal if Ο(A + B) = Ο(A) + Ο(B), and rank-sum-minimal if Ο(A + B) = |Ο(A)Ο(B)|. We characterize the linear operators preserving the set of rank-sum-maximal pairs over any field and the linear operators preserving the set of rank-sum-minimal pa