On the union of graded prime ideals

Uregen R. N., TEKİR Ü., Oral K. H.

OPEN PHYSICS, cilt.14, sa.1, ss.114-118, 2016 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 14 Sayı: 1
  • Basım Tarihi: 2016
  • Doi Numarası: 10.1515/phys-2016-0011
  • Dergi Adı: OPEN PHYSICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.114-118
  • Anahtar Kelimeler: graded ring, graded prime ideal, COPRIMELY PACKED RINGS
  • Marmara Üniversitesi Adresli: Evet

Özet

In this paper we investigate graded compactly packed rings, which is defined as; if any graded ideal I of R is contained in the union of a family of graded prime ideals of R, then I is actually contained in one of the graded prime ideals of the family. We give some characterizations of graded compactly packed rings. Further, we examine this property on h - Spec(R). We also define a generalization of graded compactly packed rings, the graded coprimely packed rings. We show that R is a graded compactly packed ring if and only if R is a graded coprimely packed ring whenever R be a graded integral domain and h - dim R = 1.