ON WEAKLY 2-ABSORBING PRIMARY IDEALS OF COMMUTATIVE RINGS
JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY, cilt.52, sa.1, ss.97-111, 2015 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 52 Sayı: 1
- Basım Tarihi: 2015
- Doi Numarası: 10.4134/jkms.2015.52.1.097
- Dergi Adı: JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Sayfa Sayıları: ss.97-111
- Anahtar Kelimeler: primary ideal, weakly primary ideal, prime ideal, weakly prime ideal, 2-absorbing ideal, n-absorbing ideal, weakly 2-absorbing ideal, 2-absorbing primary ideal, weakly 2-absorbing primary 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 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.