Yayınlanmış 1 Ocak 2021
| Sürüm v1
Dergi makalesi
Açık
LINEAR MAPS PRESERVING DRAZIN INVERSES OF MATRICES OVER LOCAL RINGS
Oluşturanlar
- 1. Ankara Univ, Dept Math, Ankara, Turkey
- 2. Hangzhou Normal Univ, Dept Math, Hangzhou, Peoples R China
- 3. Fujian Normal Univ, Fuqing Branch, Fuqing, Peoples R China
Açıklama
Let R be a local ring and suppose that there exists a is an element of F* such that a(6) not equal 1; also let T : M-n(R) -> M-m(R) be a linear map preserving Drazin inverses. Then we prove that T = 0 or n = m and T preserves idempotents. We thereby determine the form of linear maps from M-n(R) to M-m(R) preserving Drazin inverses of matrices.
Dosyalar
bib-ff9fae03-3cbe-4a99-a5e6-7ab285c47ec9.txt
Dosyalar
(182 Bytes)
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