On the structure of some Leibniz rings

Leonid A. Kurdachenko, Oleksandr O. Pypka, Mykola M. Semko

Abstract


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 obtained illustrate a significant difference between the classes of Leibniz rings and Lie rings.

Keywords


Leibniz ring, Lie ring, Leibniz algebra, additive group of Leibniz ring

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DOI: http://dx.doi.org/10.12958/adm2426

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