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On bornological semi-abelian algebras
Categories and General Algebraic Structures with Applications
If T is a semi-abelian algebraic theory, we prove that the category Born T of bornological T-algebras is homological with semi-direct products. We give a formal criterion for the representability of actions in Born T and, for a bornological T-algebra X, we investigate the relation between the representability of actions on X as a T-algebra and as a bornological Talgebra. We investigate further the algebraic coherence and the algebraic local cartesian closedness of Born T and prove in particulardoi:10.29252/cgasa.14.1.181 fatcat:rwl4jwfeoze5bc2gpnb5aicl5a