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Isomorphism theorems
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{{Short description|Group of mathematical theorems}} In [[mathematics]], specifically [[abstract algebra]], the '''isomorphism theorems''' (also known as '''Noether's isomorphism theorems''') are [[theorem]]s that describe the relationship among [[Quotient (universal algebra)|quotients]], [[homomorphism]]s, and [[subobject]]s. Versions of the theorems exist for [[group (mathematics)|groups]], [[ring (mathematics)|rings]], [[vector space]]s, [[module (mathematics)|modules]], [[Lie algebra]]s, and other [[algebraic structure]]s. In [[universal algebra]], the isomorphism theorems can be generalized to the context of algebras and [[congruence relation|congruence]]s.
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