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Explicit solutions of infinite linear systems associated with group inverse endomorphisms
Czechoslovak Mathematical Journal, Tome 72 (2022) no. 3, pp. 751-763 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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The aim of this note is to offer an algorithm for studying solutions of infinite linear systems associated with group inverse endomorphisms. As particular results, we provide different properties of the group inverse and we characterize EP endomorphisms of arbitrary vector spaces from the coincidence of the group inverse and the Moore-Penrose inverse.\looseness -1
The aim of this note is to offer an algorithm for studying solutions of infinite linear systems associated with group inverse endomorphisms. As particular results, we provide different properties of the group inverse and we characterize EP endomorphisms of arbitrary vector spaces from the coincidence of the group inverse and the Moore-Penrose inverse.\looseness -1
DOI : 10.21136/CMJ.2022.0143-21
Classification : 15A04, 15A06, 15A09
Keywords: infinite linear system; group inverse; Moore-Penrose inverse; EP endomorphism 
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Pablos Romo, Fernando. Explicit solutions of infinite linear systems associated with group inverse endomorphisms. Czechoslovak Mathematical Journal, Tome 72 (2022) no. 3, pp. 751-763. doi: 10.21136/CMJ.2022.0143-21

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