This group gathers results of general and universal algebra, which study the features shared by many algebraic structures at once rather than one structure such as the group or the ring. It covers the isomorphism theorems that relate quotients and homomorphisms across groups, rings and modules, the structure of modules over principal ideal domains, and the categorical language of diagrams and equational theories. A theorem belongs here when its cited article places it in abstract algebra, universal algebra or category theory applied to algebra.
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General and Universal Algebra
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Noether's isomorphism theorems (Wikipedia)
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In mathematics, specifically abstract algebra, the isomorphism theorems (also known as Noether's
View the Source Linton's theorem (equational theory), Wikipedia
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are the two main category theoretic formulations of universal algebra. Although these results are not explicitly stated
View the Source Structure theorem for finitely generated modules over a principal ideal domain (Wikipedia)
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In mathematics, in the field of abstract algebra, the structure theorem for finitely generated
View the Source Commutative Diagram (Wikipedia)
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In mathematics, and especially in category theory, a commutative diagram is a diagram such that
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