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oai:gredos.usal.es:10366/1640612025-05-06T08:20:29Zcom_10366_4146com_10366_4055com_10366_3946com_10366_3823col_10366_4147

Pablos Romo, Fernando 2025-03-05T12:15:57Z 2025-03-05T12:15:57Z 2022 Pablos Romo, F. Explicit Solutions of Infinite Linear Systems Associated with Group Inverse Endomorphisms. Czech Math J 72, 751–763 (2022). https://doi.org/10.21136/CMJ.2022.0143-21 0011-4642. 1572-9141 http://hdl.handle.net/10366/164061 10.21136/CMJ.2022.0143-21 [EN]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. eng info:eu-repo/semantics/embargoedAccess Infinite linear system Group inverse Moore-Penrose inverse EP endomorphism Explicit solutions of infinite linear systems associated with group inverse endomorphisms info:eu-repo/semantics/article