Solid weak BCC-algebras

Wieslaw A. Dudek

arXiv:1204.6520·math.LO·January 27, 2015·Int. J. Comput. Math.

Solid weak BCC-algebras

Wieslaw A. Dudek

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TL;DR

This paper characterizes a class of weak BCC-algebras where a specific identity holds only within the same branch, providing insights into their structural properties.

Contribution

It introduces a characterization of weak BCC-algebras with a branch-restricted identity, advancing understanding of their algebraic structure.

Findings

01

Identification of conditions under which the identity holds

02

Structural properties of weak BCC-algebras with branch restrictions

03

New characterization results for these algebraic systems

Abstract

We characterize weak BCC-algebras in which the identity $(x y) z = (x z) y$ is satisfied only in the case when elements $x, y$ belong to the same branch.

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