Domination preserving linear operators over semirings

  • Lee, Gwang-Yeon (Department of Mathematics, Hanseo Universty, Seosan 356-820) ;
  • Shin, Hang-Kyun (Department of Mathematics Education, Woosuk University, Wanju-Gun, Chonbok 565-701)
  • Published : 1996.08.01

Abstract

Suppose $k$ is a field and $M$ is the set of all $m \times n$ matrices over $k$. If T is a linear operator on $M$ and f is a function defined on $M$, then T preserves f if f(T(A)) = f(A) for all $A \in M$.

Keywords