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August 18, 2025Open Access

On the structure of braces whose subideals are ideals

Martyn R. Dixon Leonid A. Kurdachenko Igor Ya. Subbotin

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Key Points

T-braces exhibit unique algebraic properties, particularly regarding their ideals and subideals.
The transitive relation underlying ideals in T-braces enhances their structural understanding in algebra.
Analyzing T-braces opens pathways to further investigate their potential applications in abstract algebra.
Understanding these algebraic structures may lead to discovering new relationships between different types of ideals.

Implication

This article explores T-braces, focusing on how subideals function as ideals, suggesting new algebraic structures.

Abstract

This article begins the study of T-braces, those skew left braces of abelian type in which the relation of being an ideal is a transitive relation.

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Cite This Study

Dixon et al. (2025) studied this question.

synapsesocial.com/papers/68d7cc6eeebfec0fc5238edf https://doi.org/10.48550/arxiv.2508.13133

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Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context:

1On left braces in which every subbrace is an ideal2024
2Skew braces with no proper left idealsOriginal Research · 2026 · 1 citations
3On the structure of left braces satisfying the minimal condition for subbraces2024 · 3 citations
4Categories of Skew Left Braces and Trifactorised GroupsOriginal Research · 2026 · 2 citations
5T-IDEAL AND α-IDEAL OF BP-ALGEBRAS2024

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