Normal subdigroups and the isomorphism theorems for digroup

Fausto Ongay, Raúl Eduardo Velásquez, Luis Alberto Wills-Toro


We discuss the notion of normality of a sub-object in the category of digroups. This allows us to define quotient digroups, and  then establish the  corresponding analogues of the classical   Isomorphism Theorems.


Digroups, Isomorphism Theorems

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J. Almeida, Finite Semigroups and Universal Algebra, Series in Algebra, Vol. 3, World Scientific, 1994.

S. Burris; H. P. Sankappanavar, A Course in Universal Algebra, The Millenium Edition (electronic reprint).

J. B. Fraleigh, A First Course in Abstract Algebra, 6th Edition, Addison-Wesley, 1999.

Horst Herrlich; George E. Strecker, Category Theory, Allyn and Bacon, Boston, 1973.

Michael K. Kinyon, Leibniz algebras, Lie Racks, and

Digroups, Journal of Lie Theory, textbf{17} No. 4 (2007), 99-114.

Fausto Ongay, On the Notion of Digroup, Preprint CIMAT I-10-04 (MB) (2010).

A.V. Zhuchok, Dimonoids and bar-units, Sib. Math. J. 56 (2015), no.5, 827-840.


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