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Isomorphism theorems - Wikipedia

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In mathematics, specifically abstract algebra, the isomorphism theorems (also known as Noether's isomorphism theorems) are theorems that describe the relationship among quotients, homomorphisms, and subobjects. Versions of the theorems exist for groups, rings, vector spaces, modules, Lie algebras, and other algebraic structures. In universal algebra, the isomorphism theorems can be generalized to the context of algebras and congruences. 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, B.L. van der Waerden published his influential Moderne Algebra, the first abstract algebra textbook that took the groups-rings-fields approach to the subject. Van der Waerden

Isomorphism theorems - Wikipedia Jump to content From Wikipedia, the free encyclopedia Group of mathematical theorems In mathematics , specifically abstract algebra , the isomorphism theorems (also known as Noether's isomorphism theorems ) are theorems that describe the relationship among quotients , homomorphisms , and subobjects . Versions of the theorems exist for groups , rings , vector spaces , modules , Lie algebras , and other algebraic structures . In universal algebra , the isomorphism theorems can be generalized to the context of algebras and congruences . History [ edit ] The isomor

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