Updating the Fundamental Theorem of Homomorphism of General Universal Algebras
Keywords:Algebra of a given type, Homomorphisms, Kernel of a homomorphism, Congruence Relations and an associate of a homomorphism.
From the fundamental theorem of homomorphisms, it is well known that any homomorphism of groups (or rings, or modules, or vector spaces and of general universal algebras) can be decomposed as a composition of a monomorphism and an epimorphism. This paper provides the uniqueness of such decomposition up to the level of associates in the case of general universal algebras
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