ON 2-ABSORBING PRIMARY IDEALS IN COMMUTATIVE RINGS

Badawi A., TEKİR Ü., Yetkin E.

BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, cilt.51, sa.4, ss.1163-1173, 2014 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 51 Sayı: 4
  • Basım Tarihi: 2014
  • Doi Numarası: 10.4134/bkms.2014.51.4.1163
  • Dergi Adı: BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.1163-1173
  • Anahtar Kelimeler: primary ideal, prime ideal, 2-absorbing ideal, n-absorbing ideal
  • Marmara Üniversitesi Adresli: Evet

Özet

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