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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.… Click to show full 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.
Keywords:
drazin inverses;
triangular matrices;
preservers drazin;
infinite triangular;
linear preservers;
inverses infinite
Journal Title: Ukrainian Mathematical Journal
Year Published: 2018
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Journal Title: Ukrainian Mathematical Journal
Year Published: 2018
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!