The homomorphism and isomorphism theorems traditionally taught to students in a group theory or linear algebra lecture are by no means theorems of group theory. They are for a long time seen as general concepts of universal algebra. This article goes even further and identifies them as relational properties which to study does not even require the concept of an algebra. In addition it is shown how the homomorphism and isomorphism theorems generalize to not necessarily algebraic and thus relational structures. © Springer-Verlag Berlin Heidelberg 2006.
CITATION STYLE
Schmidt, G. (2006). Homomorphism and isomorphism theorems generalized from a relational perspective. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 4136 LNCS, pp. 328–342). Springer Verlag. https://doi.org/10.1007/11828563_22
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