We give a description of the semidirect products in any semi-abelian variety. Moreover, we internalize this description to the models of semi-abelian theories in any finitely complete category. As an application, we characterize the topology of the semidirect products in the topological models of any semi-abelian theory.
Semidirect products of (topological) semi-abelian algebras / M.M. Clementino, A. Montoli, L. Sousa. - In: JOURNAL OF PURE AND APPLIED ALGEBRA. - ISSN 0022-4049. - 219:1(2015), pp. 183-197. [10.1016/j.jpaa.2014.04.019]
Semidirect products of (topological) semi-abelian algebras
A. Montoli
;
2015
Abstract
We give a description of the semidirect products in any semi-abelian variety. Moreover, we internalize this description to the models of semi-abelian theories in any finitely complete category. As an application, we characterize the topology of the semidirect products in the topological models of any semi-abelian theory.
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