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Factor Rank Comparisons of Matrices over Two Related Semirings

송석준
대한수학회 (The Korean Mathematical Society)|2006.04|대한수학회논문집 (Communications of the KMS)|제21권 제2호|pp. 219-226

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참고문헌

주제분류수학

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Abstract

We consider matrices whose entries can be viewed as elements ofboth nonnegative integers and nonnegative rational numbers. Wedetermine the differences of factor rank of matrices over the twosemirings.

참고문헌 (8)

  1. "Nonnegative rank-preservingoperators", pp.207~223 (1985)
  2. "Rankcomparisons", 221, pp.171~188 (1995)
  3. "Semiring rank versus columnrank", 101, pp.33~48 (1988)
  4. "A comparison ofnonnegative real ranks and their preservers", 31, pp.37~46 (1992)
  5. "Column ranks and their preservers over nonnegative real", 399, pp.3~16 (2005)
  6. "A comparison of maximal column ranksof matrices over related semirings", 34(1), pp.51~61 (1997)
  7. "Linear operators that preserve maximalcolumn ranks of nonnegative integer matrices", 124(4), pp.2205~2211 (1998)
  8. "Rank-preserving operatorsof nonnegative integer matrices", 20, pp.671~683 (2005)

관련 논문AI추천

A Note on Regularity in Matrix SemiringsShamik Ghosh경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2004 · 제44권 제1호Factor Rank and Its Preservers of Integer Matrices강경태, Seok- Zun Song경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2006 · 제46권 제4호RANK INEQUALITIES OVER SEMIRINGSAlexander E. Guterman, LeRoy B. Beasley대한수학회 · 대한수학회지2005 · 제42권 제2호Structures of idempotent matrices over chain semirings강경태, 송석준, 양영오대한수학회 · 대한수학회보2007 · 제44권 제4호Maximal column ranks and their preservers of Matrices Over Max Algebra강경태, 송석준대한수학회 · 대한수학회지2003 · 제40권 제6호Rank-preserving operators of nonnegative integer matrices강경태, 송석준, 전영배대한수학회 · 대한수학회논문집2005 · 제20권 제4호

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