2015•American Scientific Research Journal for Engineering, Technology, and Sciences (Global Society of Scientific Research and Researchers)Open access
Updating the Fundamental Theorem of Homomorphism of General Universal Algebras
Gezahagne Mulat Addis
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Abstract
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