Two syntactic methods using partial Horn theory and generalized algebraic theory determine the number of regular epimorphisms needed to decompose strong epimorphisms via transfinite composites in locally presentable categories.
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On the decomposition of a strong epimorphism into regular epimorphisms
Two syntactic methods using partial Horn theory and generalized algebraic theory determine the number of regular epimorphisms needed to decompose strong epimorphisms via transfinite composites in locally presentable categories.