Journal of applied mathematics & informatics

The Korean Society for Computational and Applied Mathematics (한국전산응용수학회)
권호 표지

QUOTIENT STRUCTURE OF A SEMINEAR-RING

  • Published : 2000.01.01

⟨ Previous Next ⟩

Abstract

In this note, we define a ${Q^*}-ideal$ in a seminear-ring which is analogous of a Q-ideal in a semiring, and we construct a quotient seminear-ring. Also, We prove the fundamental theorem of homomorphisms for seminear-rings.

Keywords

References

  1. Proc. Amer. Math. Soc. v.21 A fundamental theorem of homomorphisms for semirings P. J. Allen
  2. Kyungpook Math. J. v.21 Standard halfrings and standard ideals L. Dale
  3. Kyungpook Math. J. v.23 Extending certain semiring homomorphisms to ring homomorphisms L. Dale