Strongly clean matrices over power series
Kyungpook Mathematical Journal, cilt.56, sa.2, ss.387-396, 2016 (ESCI, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 56 Sayı: 2
- Basım Tarihi: 2016
- Doi Numarası: 10.5666/kmj.2016.56.2.387
- Dergi Adı: Kyungpook Mathematical Journal
- Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus
- Sayfa Sayıları: ss.387-396
- Ankara Üniversitesi Adresli: Hayır
Özet
An n x n matrix A over a commutative ring is strongly clean provided that it can be written as the sum of an idempotent matrix and an invertible matrix that commute. Let R be an arbitrary commutative ring, and let A(x) is an element of M-n (R[[x]]). We prove, in this note, that A(x) is an element of M-n (R[[x]]) is strongly clean if and only if A(0) is an element of M-n (R) is strongly clean. Strongly clean matrices over quotient rings of power series are also determined.