An introduction to dirings

Document Type

Article

Publication Date

3-1-2023

Publication Title

Asian-European Journal of Mathematics

Abstract

In this paper, we introduce the notion of diring as a generalization of rings and digroups. We treat basic properties of dirings and provide several examples. In addition, several notions of ring theory such as ideals and homomorphisms are considered in the newly introduced framework. Finally, we construct Leibniz algebra and quasi-Jordan algebra structures on non-commutative algebras by using diring operations.

Department

Mathematics

Volume Number

16

Issue Number

3

DOI

10.1142/S179355712350050X

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