What question did this study set out to answer?

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

Key Points

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

Abstract

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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Discussion

Journals

International Electronic Journal of Algebra

Institutions

University of Nis

References and Citations

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