ON WEAKLY 2-ABSORBING PRIMARY IDEALS OF COMMUTATIVE RINGS


Badawi A., TEKİR Ü. , Yetkin E.

JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY, cilt.52, ss.97-111, 2015 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 52 Konu: 1
  • Basım Tarihi: 2015
  • Doi Numarası: 10.4134/jkms.2015.52.1.097
  • Dergi Adı: JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY
  • Sayfa Sayıları: ss.97-111

Özet

Let R be a commutative ring with 1 not equal 0. In this paper, we introduce the concept of weakly 2-absorbing primary ideal which is a generalization of weakly 2-absorbing ideal. A proper ideal I of R is called a weakly 2-absorbing primary ideal of R if whenever a, b,c is an element of R and 0 not equal abc is an element of I, then ab is an element of I or ac is an element of root I or bc is an element of root I. A number of results concerning weakly 2-absorbing primary ideals and examples of weakly 2-absorbing primary ideals are given.