Quasipolar Subrings of 3 x 3 Matrix Rings

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Atıf İçin Kopyala

Gurgun O., HALICIOĞLU S., Harmanci A.

ANALELE STIINTIFICE ALE UNIVERSITATII OVIDIUS CONSTANTA-SERIA MATEMATICA, cilt.21, sa.3, ss.133-146, 2013 (SCI-Expanded)

• 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
• Anahtar Kelimeler: Quasipolar ring, local ring, 3 x 3 matrix ring, CLEAN MATRICES
• Ankara 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.