Bulletin of the Korean Mathematical Society (대한수학회보)
- Volume 33 Issue 3
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- Pages.335-342
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- 1996
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- 1015-8634(pISSN)
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- 2234-3016(eISSN)
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 $A \in M$.