논문KCI 등재
Rank preserver of Boolean matrices
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Abstract
A Boolean matrix with rank 1 is factored as a leftfactor and a right factor. The perimeter of a rank-1 Boolean matrixis dened as the number of nonzero entries in the left factor and theright factor of the given matrix. We obtain new characterizationsof rank preservers, in terms of perimeter, of Boolean matrices.
참고문헌 (5)
- L. B. Beasley, "Boolean rank preserving operators and Booleanrank-1 spaces", 59, pp.55~77 (1984)
- null, "Semiring rank versus column rank", 101, pp.33~48 (1988)
- "Primes in the semigroup of Boolean matrices", 37, pp.119~134 (1981)
- "Rank and perimeterpreservers of Boolean rank-1 matrices", 41, pp.397~406 (2004)
- "Linear operators that preserve column rank of Boolean matrices", 119, pp.1085~1088 (1993)
관련 논문AI추천
Rank and perimeter preservers of boolean rank-1 matrices송석준, Gi-Sang Cheon, LeRoy B. Beasley, Young-Bae Jun대한수학회 · 대한수학회지2004 · 제41권 제2호Linear preservers of Boolean nilpotent matrices강경태, 송석준, 전영배대한수학회 · 대한수학회지2006 · 제43권 제3호Rank-preserving operators of nonnegative integer matrices강경태, 송석준, 전영배대한수학회 · 대한수학회논문집2005 · 제20권 제4호Maximal column rank preservers of integer matrices강경태, 송석준대한수학회 · 대한수학회논문집2007 · 제22권 제2호Idempotent matrix preservers over Boolean algebras강경태, 송석준, LeRoy B. Beasley대한수학회 · 대한수학회지2007 · 제44권 제1호Boolean regular matrices and their strongly preservers강경태, 송석준, Mun-Hwan Kang대한수학회 · 대한수학회보2009 · 제46권 제2호
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