Journal of applied mathematics & informatics

The Korean Society for Computational and Applied Mathematics (한국전산응용수학회)
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SOME QUOTIENT STRUCTURES OF A SEMIRING

  • Kim, Young-Hee (Department of Mathematics, College of Natural Sciences, Chungbuk National University)
  • Received : 2011.09.27
  • Accepted : 2011.12.09
  • Published : 2012.05.30
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Abstract

In this note, we discuss $N(R,<_R)$-structure in a semiring, and show that if ($R,+,{\cdot}$) is a cancellative $<_+$-stable semiring, then ($R/N(R,<_+),+,{\cdot}$) is a semiring.

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References

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