Updating the Fundamental Theorem of Homomorphism of General Universal Algebras


  • Gezahagne Mulat Addis Dilla University


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

Author Biography

Gezahagne Mulat Addis, Dilla University

Mathematics Lecturer


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How to Cite

Addis, G. M. (2014). Updating the Fundamental Theorem of Homomorphism of General Universal Algebras. American Scientific Research Journal for Engineering, Technology, and Sciences, 10(1), 61–73. Retrieved from https://www.asrjetsjournal.org/index.php/American_Scientific_Journal/article/view/707