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Linear maps that preserve commuting pairs of matrices over general boolean algebra
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Abstract
We consider the set of commuting pairs of matrices and their preservers over binary Boolean algebra, chain semiring and general Boolean algebra. We characterize those linear operators that preserve the set of commuting pairs of matrices over a general Boolean algebra and a chain semiring.
참고문헌 (7)
- "the invariance of commuting pairs of matrices}", pp.179~ (1978)
- "\it Linear transformationson symmetric matrices that preserve commutativity}", pp.11~ (1982)
- "\it Linear operatorspreserving invariants of non-binary matrices}", pp.295~ (1992)
- "\it Commutativity-preserving operators on symmetric matrices}", pp.219~ (1984)
- "it Linear operators that preserve commuting pairs of nonnegative real matrices", pp.279~ (2003)
- "it Column ranks and their preserver of general Boolean matrices", pp.531~ (1995)
- "\it Linear maps that preserve commutingpairs of matrices}", (1), pp.29~ (1976)
관련 논문AI추천
Commuting Pair Preservers of MatricesJin-Young Oh, Seok-Zun Song경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2007 · 제47권 제2호Idempotent matrix preservers over Boolean algebras강경태, 송석준, LeRoy B. Beasley대한수학회 · 대한수학회지2007 · 제44권 제1호Linear preservers of Boolean nilpotent matrices강경태, 송석준, 전영배대한수학회 · 대한수학회지2006 · 제43권 제3호Boolean regular matrices and their strongly preservers강경태, 송석준, Mun-Hwan Kang대한수학회 · 대한수학회보2009 · 제46권 제2호Extreme sets of rank inequalities over Boolean matrices and their preservers강문환, 송석준, 전영배대한수학회 · 대한수학회논문집2013 · 제28권 제1호Rank preserver of Boolean matrices강경태, 송석준, 전영배대한수학회 · 대한수학회보2005 · 제42권 제3호
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