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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)

  1. "the invariance of commuting pairs of matrices}", pp.179~ (1978)
  2. "\it Linear transformationson symmetric matrices that preserve commutativity}", pp.11~ (1982)
  3. "\it Linear operatorspreserving invariants of non-binary matrices}", pp.295~ (1992)
  4. "\it Commutativity-preserving operators on symmetric matrices}", pp.219~ (1984)
  5. "it Linear operators that preserve commuting pairs of nonnegative real matrices", pp.279~ (2003)
  6. "it Column ranks and their preserver of general Boolean matrices", pp.531~ (1995)
  7. "\it Linear maps that preserve commutingpairs of matrices}", (1), pp.29~ (1976)

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