abelian
71Triangulated category — A triangulated category is a mathematical category satisfying some axioms that are based on the properties of the homotopy category of spectra, and the derived category of an abelian category. A t category is a triangulated category with a t… …
72List of algebraic structures — In universal algebra, a branch of pure mathematics, an algebraic structure is a variety or quasivariety. Abstract algebra is primarily the study of algebraic structures and their properties. Some axiomatic formal systems that are neither… …
73Adjoint functors — Adjunction redirects here. For the construction in field theory, see Adjunction (field theory). For the construction in topology, see Adjunction space. In mathematics, adjoint functors are pairs of functors which stand in a particular… …
74Free group — In mathematics, a group G is called free if there is a subset S of G such that any element of G can be written in one and only one way as a product of finitely many elements of S and their inverses (disregarding trivial variations such as st 1 =… …
75Additive category — In mathematics, specifically in category theory, an additive category is a preadditive category C such that any finitely many objects A 1,..., A n of C have a biproduct A 1 ⊕ ⋯ ⊕ A n in C. (Recall that a category C is preadditive if all its… …
76Algebraic structure — In algebra, a branch of pure mathematics, an algebraic structure consists of one or more sets closed under one or more operations, satisfying some axioms. Abstract algebra is primarily the study of algebraic structures and their properties. The… …
77Injective module — In mathematics, especially in the area of abstract algebra known as module theory, an injective module is a module Q that shares certain desirable properties with the Z module Q of all rational numbers. Specifically, if Q is a submodule of some… …
78Nicolae Popescu — Nicolae Popescu, Ph.D., D.Phil. Born 22 September 1937(1937 09 22) Strehaia, Romania Died 29 July 2010(201 …
79Hilbert's twelfth problem — Hilbert s twelfth problem, of the 23 Hilbert s problems, is the extension of Kronecker Weber theorem on abelian extensions of the rational numbers, to any base number field. The classical theory of complex multiplication does this for any… …
80Néron–Tate height — In number theory, the Néron–Tate height (or canonical height) is a quadratic form on the Mordell Weil group of rational points of an abelian variety defined over a global field. It is named after André Néron and John Tate. Contents 1 Definition… …
