The Relationships Between Graded Ideals and Subspaces

ÖNEŞ O., ALKAN M.

1ST INTERNATIONAL CONFERENCE ON MATHEMATICAL AND RELATED SCIENCES (ICMRS), Antalya, Türkiye, 30 Nisan - 04 Mayıs 2018, cilt.1991 identifier identifier

  • Yayın Türü: Bildiri / Tam Metin Bildiri
  • Cilt numarası: 1991
  • Doi Numarası: 10.1063/1.5047900
  • Basıldığı Şehir: Antalya
  • Basıldığı Ülke: Türkiye
  • Akdeniz Üniversitesi Adresli: Evet

Özet

This paper deals with the relationships between open subspaces of Zari.ski topology on graded prime ideals and graded ideals of a graded ring. After obtaining some algebraic and topological characterizations for a graded ring and Zariski topology on graded prime ideals, we finally prove that X-G = (i-1)boolean OR(n) X-G(Ii),, where I-i is irreducible and /i is a graded ideal of a graded ring R, if and only if R = (i=1)Sigma(n) I-i and N-G(Ii) (0) is a graded prime ideal of R.