On Graded 2-Absorbing Quasi Primary Ideals

ÜREGEN R. N., TEKİR Ü., Shum K. P., KOÇ S.

SOUTHEAST ASIAN BULLETIN OF MATHEMATICS, cilt.43, sa.4, ss.601-613, 2019 (ESCI) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 43 Sayı: 4
  • Basım Tarihi: 2019
  • Dergi Adı: SOUTHEAST ASIAN BULLETIN OF MATHEMATICS
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI)
  • Sayfa Sayıları: ss.601-613
  • Erzincan Binali Yıldırım Üniversitesi Adresli: Evet

Özet

In this article, we introduce the concept of graded 2-absorbing quasi primary ideal which is a generalization of graded prime ideal. In the first part of the paper, we give many characterizations of these classes of ideals. In the second part, we study idealization of graded modules. In particular, we investigate graded radical in the idealization of a graded module. Furthermore, we determine h-dimension of idealization of a graded module and study some classical graded ideals such as graded maximal, graded prime, graded primary, graded 2-absorbing and graded 2-absorbing quasi primary ideals.