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math.RA2025
Leibniz rings: some basic and structural results
L. A. Kurdachenko, O. O. Pypka, M. M. Semko
In this paper, we study the fundamental properties of Leibniz rings. Special attention is given to the structure of Leibniz rings whose additive group is "small". The results obtai…
math.RA2025
On the structure of braces whose subideals are ideals
Martyn R. Dixon, Leonid A. Kurdachenko, Igor Ya. Subbotin
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.