논문KCI 등재
Maximal column rank preservers of integer matrices
대한수학회 (The Korean Mathematical Society)|2007.04|대한수학회논문집 (Communications of the KMS)|제22권 제2호|pp. 195-205
1
조회
0
다운로드
0
인용
0
참고문헌
주제분류수학
초록
Abstract
The maximal column rank of an mtimes n matrix A over the ringof integers, is the maximal number of the columns of A that areweakly independent. We characterize the linear operators thatpreserve the maximal column ranks of integer matrices.
참고문헌 (4)
- "Column ranks and their preservers over nonnegativereal matrices", 399, pp.3~16 (2005)
- "Linearoperators that preserve maximal column rank of Boolean matrices", pp.305~ (1994)
- "A comparison of maximal column ranksof matrices over related semirings", 34(1), pp.213~225 (1997)
- "Maximal column ranks and theirpreservers of matrices over max algebra", 40(6), pp.943~950 (2003)
관련 논문AI추천
Maximal column ranks and their preservers of Matrices Over Max Algebra강경태, 송석준대한수학회 · 대한수학회지2003 · 제40권 제6호Factor Rank and Its Preservers of Integer Matrices강경태, Seok- Zun Song경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2006 · 제46권 제4호Rank-preserving operators of nonnegative integer matrices강경태, 송석준, 전영배대한수학회 · 대한수학회논문집2005 · 제20권 제4호Linear preservers of spanning column rank of matrix sums over semirings송석준대한수학회 · 대한수학회지2008 · 제45권 제2호Rank preserver of Boolean matrices강경태, 송석준, 전영배대한수학회 · 대한수학회보2005 · 제42권 제3호Sets of Integer Matrix Pairs Derived from Row Rank Inequalities and Their Preservers송석준, 전영배경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2013 · 제53권 제2호
이 간행물의 다른 논문 (17건)
Isomorphism of modular group algebras of abelian groups with semi-complete $p$-primary componentsPeter Danchevpp. 157-161Determination of all subfields of cyclotomic function fields with divisor class number two안재현, 정환엽pp. 163-171Fuzzy subalgebras with thresholds in BCK/BCI-algebras전영배pp. 173-181Composition of Binomial Polynomial최은미pp. 183-194Corrigendum on ``The Number of Points on Elliptic Curves $E~:y^{2}=x^{3}+cx$ over $\mathbb{F}_{p}$ mod 8"Osman B\.{i}Z\.{i}m, Musa Dem\.{i}rc\.{i}, G\, \.{I}lker \.{I}nam, \.{I}smail Naci Cang\pp. 207-208
