논문KCI 등재
Linear preservers of spanning column rank of matrix products over semirings
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The spanning column rank of an m×n matrix A over a semiring is the minimal number of columns that span all columns of A. We characterize linear operators that preserve the sets of matrix ordered pairs which satisfy multiplicative properties with respect to spanning column rank of matrices over semirings.
Abstract
The spanning column rank of an m×n matrix A over a semiring is the minimal number of columns that span all columns of A. We characterize linear operators that preserve the sets of matrix ordered pairs which satisfy multiplicative properties with respect to spanning column rank of matrices over semirings.
참고문헌 (9)
- LeRoy B. Beasley, "RANK INEQUALITIES OVER SEMIRINGS", 대한수학회보, 42(2), pp.33~51 (2005), 대한수학회
- L. B. Beasley, "LP-problems for rank inequalities over semirings: factorization rank", Sovremennaya Matematika i ee Prilozheniya, (13), pp.53~70 (2004)
- L. B. Beasley, "Linear operators that preserve pairs of matrices which satisfy extreme rank properties", Linear Algebra and its Applications, 350, pp.263~272 (2002)
- L. B. Beasley, "Semiring rank versus column rank", Linear Algebra and its Applications, 101, pp.33~48 (1988)
- G. Marsaglia, "Equalities and inequalities for ranks of matrices", Linear and Multilinear Algebra, 75, pp.269~292 (1974)
- P. Pierce, "A survey of linear preserver problems", Linear and Multilinear Algebra, 33(1), pp.1~129 (1992), Gordon and Breach Science Publishers
- 송석준, "Linear preservers of spanning column rank of matrix sums over semirings", 대한수학회지, 45(2), pp.301~312 (2008), 대한수학회
- S. Z. Song, "Spanning column ranks and their preservers of nonnegative matrices", Linear Algebra and its Applications, 254, pp.485~495 (1997)
- 송석준, "Linear maps that preserve commuting pairs of matrices over general boolean algebra", 대한수학회보, 43(1), pp.77~86 (2006), 대한수학회
관련 논문AI추천
Linear preservers of spanning column rank of matrix sums over semirings송석준대한수학회 · 대한수학회지2008 · 제45권 제2호EXTREME PRESERVERS OF MAXIMAL COLUMN RANK INEQUALITIES OF MATRIX MULTIPLICATIONS OVER SEMIRINGS박권룡, 송석준, L. Hernandez Encinas대한수학회 · 대한수학회지2010 · 제47권 제1호Characterizations of Zero-Term Rank Preservers of Matrices over Semirings강경태, 송석준, 비어슬리, Luis Hernandez Encinas경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2014 · 제54권 제4호Rank-preserver of Matrices over Chain Semiring강경태, Seok-Zun Song경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2006 · 제46권 제1호Spanning column ranks of non-binary Boolean matrices and their preservers강경태, 송석준대한수학회 · 대한수학회지2019 · 제56권 제2호Linear transformations that preserve term rank between different matrix spaces송석준, LeRoy B. Beasley대한수학회 · 대한수학회지2013 · 제50권 제1호
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