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

Katedra Matematyki (RMS/RMS1)

Wyniki badań: Wkład do czasopisma › Artykuł › recenzja

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Abstrakt

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.

Język oryginału	angielski
Strony (od–do)	614-631
Liczba stron	18
Czasopismo	Ukrainian Mathematical Journal
Tom	70
Numer wydania	4
Identyfikatory DOI	https://doi.org/10.1007/s11253-018-1520-1
Status publikacji	Opublikowano - 1 wrz 2018

Obszary tematyczne ASJC Scopus

Matematyka ogólna

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10.1007/s11253-018-1520-1

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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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The Drazin Inverses of Infinite Triangular Matrices and Their Linear Preservers

Abstrakt

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