2026/06/02 by Btissam Laghmam, Hassane Zguitti
Mathematics · #Rings, Modules, and Algebras #Finite Group Theory Research #Algebraic structures and combinatorial models
paper · doi:10.1080/03081087.2026.2679719
This article examines a way to define the notion of left (right) (b,c)-polar elements in an associative ring R. Necessary and sufficient conditions of an element a∈R to be left (right) (b,c)-polar are investigated. We show that an element a∈R is left (right) (b,c)-polar if and only if a is strongly left (right) (b,c)-invertible. Moreover, the one-sided (b,c)-polarity is characterized in terms of left and right annihilators. As an application, we provide a characterization of the one sided core inverse. Further results and properties are obtained.