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The research aims to generalize G-outer inverses and explore their properties in the context of ring theory.

April 10, 2026Open Access

G-outer inverses and partial orders in rings

Puntos clave

The research aims to generalize G-outer inverses and explore their properties in the context of ring theory.
Generalization of G-outer inverse for elements in a ring
Development of characterizations for G-outer inverses
Introduction of one-sided G-Drazin inverses
Application of partial orders involving G-outer inverses
Establishment of new properties and characterizations for G-outer inverses
Definition and exploration of one-sided G-Drazin inverses
Introduction of induced partial orders in the context of ring theory

Resumen

The notions of G-outer inverse and its one-sided versions for rectangular complex matrices are generalized to elements of a ring based on the (b, c) -inverse. Various properties and characterizations of G-outer inverse and its one-sided kinds are developed. We consider partial orders applying G-outer inverse and its one-sided types in a ring. Consequently, one-sided G-Drazin inverses are introduced for elements of a ring as well as partial orders induced by them.

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Marija Petrović (Wed,) studied this question.

www.synapsesocial.com/papers/69d895d86c1944d70ce06e80 — DOI: https://doi.org/10.24330/ieja.1925631

Authors

Marija Petrović

Journals

International Electronic Journal of Algebra

Actions

Institutions

University of Nis

References and Citations

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Building similarity graph...

Analyzing shared references across papers

G-outer inverses and partial orders in rings

Puntos clave

Resumen

Citation Network

Connected Papers

Discussion

Cite this study

Authors

Journals

Actions

Institutions

References and Citations

Citation Network

Connected Papers

Discussion