local algebra

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• Local ring — In abstract algebra, more particularly in ring theory, local rings are certain rings that are comparatively simple, and serve to describe what is called local behaviour , in the sense of functions defined on varieties or manifolds, or of… …   Wikipedia

• Local quantum field theory — The Haag Kastler axiomatic framework for quantum field theory, named after Rudolf Haag and Daniel Kastler, is an application to local quantum physics of C* algebra theory. It is therefore also known as Algebraic Quantum Field Theory (AQFT). The… …   Wikipedia

• Local cohomology — In mathematics, local cohomology is a chapter of homological algebra and sheaf theory introduced into algebraic geometry by Alexander Grothendieck. He developed it in seminars in 1961 at Harvard University, and 1961 2 at IHES. It was later… …   Wikipedia

• Algebra Project — The Algebra Project is a national U.S. mathematics literacy effort aimed at helping low income students and students of color successfully achieve mathematical skills that are a prerequisite for a college preparatory mathematics sequence in high… …   Wikipedia

• Álgebra conmutativa — En álgebra abstracta, el álgebra conmutativa es el campo de estudio de los anillos conmutativos, sus ideales, módulos y álgebras. Es una materia fundacional tanto para la geometría algebraica como para la teoría algebraica de números. Se… …   Wikipedia Español

• Algebra bundle — In mathematics, an algebra bundle is a fiber bundle whose fibers are algebras and local trivializations respect the algebra structure. It follows that the transition functions are algebra isomorphisms. Since algebras are also vector spaces, every …   Wikipedia

• Frobenius algebra — In mathematics, especially in the fields of representation theory and module theory, a Frobenius algebra is a finite dimensional unital associative algebra with a special kind of bilinear form which gives the algebras particularly nice duality… …   Wikipedia

• Commutative algebra — This page deals with the area of study. For algebras which are commutative, see algebra (disambiguation). Commutative algebra is the branch of abstract algebra that studies commutative rings, their ideals, and modules over such rings. Both… …   Wikipedia

• Regular local ring — In commutative algebra, a regular local ring is a Noetherian local ring having the property that the minimal number of generators of its maximal ideal is exactly the same as its Krull dimension. The minimal number of generators of the maximal… …   Wikipedia

• List of abstract algebra topics — Abstract algebra is the subject area of mathematics that studies algebraic structures, such as groups, rings, fields, modules, vector spaces, and algebras. The phrase abstract algebra was coined at the turn of the 20th century to distinguish this …   Wikipedia

• Hecke algebra — is the common name of several related types of associative rings in algebra and representation theory. The most familiar of these is the Hecke algebra of a Coxeter group , also known as Iwahori Hecke algebra, which is a one parameter deformation… …   Wikipedia