Abstract
Abstract The paper presents new refinements of homomorphisms that are needed in order to deal with partial algebraic systems; namely, weak, strong and Very strong homomorphisms and the laws of their compositions. Further, it describes loose and tight congruences and the canonical factorization of various kinds of homomorphisms. The results have important applications in cognitive modelling, general systems relational models, knowledge representation schemes in Expert Systems and formal methods of Software Engineering,
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