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A category theoretical background for homomorphism theorems. (English) Zbl 0706.08005

The categorical tool of factorization systems for morphisms is used to unify certain homomorphism theorems for partial algebras. The results presented here are part of the authors’ project to explore the abstract notions of category theory in the concrete setting of partial algebras.
Reviewer: J.Koslowski

MSC:

08A55 Partial algebras
08C05 Categories of algebras
18A32 Factorization systems, substructures, quotient structures, congruences, amalgams
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