Uniformly 2-absorbing primary ideals of commutative rings

MOSTAFANASAB H., TEKİR Ü., ULUCAK G.

Algebra and Discrete Mathematics, cilt.29, sa.2, ss.221-240, 2020 (ESCI) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 29 Sayı: 2
  • Basım Tarihi: 2020
  • Doi Numarası: 10.12958/adm476
  • Dergi Adı: Algebra and Discrete Mathematics
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus, zbMATH
  • Sayfa Sayıları: ss.221-240
  • Anahtar Kelimeler: uniformly 2-absorbing primary ideal, Noether strongly 2-absorbing primary ideal, 2-absorbing primary ideal, POWERS
  • Marmara Üniversitesi Adresli: Evet

Özet

In this study, we introduce the concept of "uniformly 2-absorbing primary ideals" of commutative rings, which imposes a certain boundedness condition on the usual notion of 2-absorbing primary ideals of commutative rings. Then we investigate some properties of uniformly 2-absorbing primary ideals of commutative rings with examples. Also, we investigate a specific kind of uniformly 2-absorbing primary ideals by the name of "special 2-absorbing primary ideals".