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Isomorphism theorems
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== History == The isomorphism theorems were formulated in some generality for homomorphisms of modules by [[Emmy Noether]] in her paper ''Abstrakter Aufbau der Idealtheorie in algebraischen Zahl- und Funktionenkörpern'', which was published in 1927 in [[Mathematische Annalen]]. Less general versions of these theorems can be found in work of [[Richard Dedekind]] and previous papers by Noether. Three years later, [[Bartel Leendert van der Waerden|B.L. van der Waerden]] published his influential ''[[Moderne Algebra]]'', the first [[abstract algebra]] textbook that took the [[Group (mathematics)|groups]]-[[Ring (mathematics)|rings]]-[[Field (mathematics)|fields]] approach to the subject. Van der Waerden credited lectures by Noether on [[group theory]] and [[Emil Artin]] on algebra, as well as a seminar conducted by Artin, [[Wilhelm Blaschke]], [[Otto Schreier]], and van der Waerden himself on [[ideal (ring theory)|ideals]] as the main references. The three isomorphism theorems, called ''homomorphism theorem'', and ''two laws of isomorphism'' when applied to groups, appear explicitly.
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