Certain strongly clean matrices over local rings
TURKISH JOURNAL OF MATHEMATICS, cilt.42, sa.5, ss.2296-2303, 2018 (SCI-Expanded, Scopus, TRDizin)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 42 Sayı: 5
- Basım Tarihi: 2018
- Doi Numarası: 10.3906/mat-1802-10
- Dergi Adı: TURKISH JOURNAL OF MATHEMATICS
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, TR DİZİN (ULAKBİM)
- Sayfa Sayıları: ss.2296-2303
- Anahtar Kelimeler: Matrix ring, strongly clean matrix, quasipolar matrix, PSEUDO DRAZIN INVERSE, BANACH-ALGEBRAS, ELEMENTS, PROPERTY
- Ankara Üniversitesi Adresli: Evet
Özet
We are concerned about various strongly clean properties of a kind of matrix subrings L-(s) (R) over a local ring R. Let R be a local ring, and let s is an element of C(R). We prove that A is an element of L-(s) (R) is strongly clean if and only if A or I-2 - A is invertible, or A is similar to a diagonal matrix in L-(s) (R). Furthermore, we prove that A is an element of L-(s) (R) is quasipolar A if and only if A is an element of GL(2) (R) or A is an element of L-(s)(R)(qnil) or A is similar to a diagonal matrix in