On uniformly pr-ideals in commutative rings

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ÜREGEN R. N.

TURKISH JOURNAL OF MATHEMATICS, cilt.43, sa.4, ss.1878-1886, 2019 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 43 Sayı: 4
  • Basım Tarihi: 2019
  • Doi Numarası: 10.3906/mat-1902-102
  • Dergi Adı: TURKISH JOURNAL OF MATHEMATICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, TR DİZİN (ULAKBİM)
  • Sayfa Sayıları: ss.1878-1886
  • Erzincan Binali Yıldırım Üniversitesi Adresli: Evet

Özet

Let R be a commutative ring with nonzero identity and I a proper ideal of R. Then I is called a uniformly pr-ideal if there exists N is an element of N such that ab is an element of I with ann(a) = 0 then b(N) is an element of I. We say that the smallest N is an element of N is called order of I and denoted by ord(R)(I) = N. In this paper, we give some examples and characterizations of this new class of ideals.