Quasipolar Subrings of 3 x 3 Matrix Rings
ANALELE STIINTIFICE ALE UNIVERSITATII OVIDIUS CONSTANTA-SERIA MATEMATICA, cilt.21, sa.3, ss.133-146, 2013 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 21 Sayı: 3
- Basım Tarihi: 2013
- Doi Numarası: 10.2478/auom-2013-0048
- Dergi Adı: ANALELE STIINTIFICE ALE UNIVERSITATII OVIDIUS CONSTANTA-SERIA MATEMATICA
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Sayfa Sayıları: ss.133-146
- Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
- Hacettepe Üniversitesi Adresli: Evet
Özet
An element a of a ring R is called quasipolar provided that there exists an idempotent p is an element of R such that p is an element of comm(2)(a), a + p is an element of U(R) and ap is an element of R-qnil. A ring R is quasipolar in case every element in R is quasipolar. In this paper, we determine conditions under which subrings of 3 x 3 matrix rings over local rings are quasipolar. Namely, if R is a bleached local ring, then we prove that J(3)(R) is quasipolar if and only if R is uniquely bleached. Furthermore, it is shown that T-n(R) is quasipolar if and only if T-n(R[[x]]) is quasipolar for any positive integer n.