QUOTIENT STRUCTURE OF A SEMINEAR-RING

  • 발행 : 2000.01.01

초록

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.

키워드

참고문헌

  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