The Drazin Inverses of Infinite Triangular Matrices and Their Linear Preservers

R. Słowik

doi:10.1007/s11253-018-1520-1

The Drazin Inverses of Infinite Triangular Matrices and Their Linear Preservers

R. Słowik

Department of Mathematics (RMS/RMS1)

Research output: Contribution to journal › Article › peer-review

2 Citations (Scopus)

Abstract

We consider the ring of all infinite (ℕ × ℕ) upper triangular matrices over a field F. We give the description of elements that are Drazin invertible in this ring. In the case where F is such that char(F) ≠ 2 and |F| > 4, we find the form of linear preservers for the Drazin inverses.

Original language	English
Pages (from-to)	614-631
Number of pages	18
Journal	Ukrainian Mathematical Journal
Volume	70
Issue number	4
DOIs	https://doi.org/10.1007/s11253-018-1520-1
Publication status	Published - 1 Sept 2018

ASJC Scopus subject areas

General Mathematics

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10.1007/s11253-018-1520-1

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title = "The Drazin Inverses of Infinite Triangular Matrices and Their Linear Preservers",

abstract = "We consider the ring of all infinite (ℕ {\texttimes} ℕ) upper triangular matrices over a field F. We give the description of elements that are Drazin invertible in this ring. In the case where F is such that char(F) ≠ 2 and |F| > 4, we find the form of linear preservers for the Drazin inverses.",

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AU - Słowik, R.

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N2 - We consider the ring of all infinite (ℕ × ℕ) upper triangular matrices over a field F. We give the description of elements that are Drazin invertible in this ring. In the case where F is such that char(F) ≠ 2 and |F| > 4, we find the form of linear preservers for the Drazin inverses.

AB - We consider the ring of all infinite (ℕ × ℕ) upper triangular matrices over a field F. We give the description of elements that are Drazin invertible in this ring. In the case where F is such that char(F) ≠ 2 and |F| > 4, we find the form of linear preservers for the Drazin inverses.

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U2 - 10.1007/s11253-018-1520-1

DO - 10.1007/s11253-018-1520-1

M3 - Article

AN - SCOPUS:85056734510

SN - 0041-5995

VL - 70

SP - 614

EP - 631

JO - Ukrainian Mathematical Journal

JF - Ukrainian Mathematical Journal

IS - 4

ER -

The Drazin Inverses of Infinite Triangular Matrices and Their Linear Preservers

Abstract

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