Algebraic structure
Algebraic structure In higher mathematics, "algebraic structure" is a loosely-defined phrase referring to ... abstract algebra: sets with operations. The word "structure" can refer to a specific mathematical object ... the monster group simultaneously is an algebraic structure, and it has an algebraic structure: the structure shared by all groups. ...
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Topological space
Topological space Topological spaces are structures that allow one to ... notion. The branch of mathematics that studies topological spaces in their own right is called ... see the article on topology. Definition A topological space is a set X together with ... placed on a set to form a topological space. When every set in a ...
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Algebraic structure   (translated from Portuguese)
Algebraic structure In algebra abstracta, one algebraic structure it consists of one set associated to ... exist, generally the set with the algebraic structure is identified. For example, one group (G ... set can be considered a depraved algebraic structure, with zero operations defined on it The ... sets with not-algebraic structures add, as topological spaces. For example, one topological group ...
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Topological group   (translated from German)
Topological group topological group affects the special fields Mathematik Topologie ... topologischer area Examples are rational numbers (Q, +) topological vector space standardized area Interior product area ... Lie group In that Mathematik is one topological group one Group, those additionally one with the group structure "compatible" Topologie has. The topological structure ...
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Topological assortment   (translated from German)
Topological assortment That topological sorting a simple special case is that Netzplantechnik . The name "topological assortment" leads itself of that griechischen words ... calls an order, which fulfills all conditions, topological assortment of the quantity. In contrast to ... To a quantity with given criteria several topological assortments can exist, if for example ...
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Topological group
Topological group In mathematics, a topological group G is a group that is also a topological space such that the group multiplication G ... G � G is viewed as a topological space by using the product topology. Although ... of category theory, one would say that topological groups are group objects in the ...
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Mathematical structure
Mathematical structure In mathematics, a structure on a set, or more generally a ... set is endowed with more than one structure simultaneously; this enables mathematicians to study it ... a certain way, the set becomes a topological group. Example: the real numbers The set ... or more than every other number. algebraic structure: there are operations of multiplication and ...
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Topological sorting
Topological sorting In graph theory, a topological sort of a directed acyclic graph (DAG ... edges. Every DAG has at least one topological sort, and may have many. Examples The canonical application of topological sorting is in scheduling a sequence of ... job y can be done. Then, a topological sort gives an order in which ...
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Algebraic structure   (translated from German)
Algebraic structure The term Algebraic structure describes a mathematical article. As a synonym ... to designate the mathematical object with algebraic structure as with general algebra. This article acts ... Table of contents Definition of the algebraic structure Variant 1 An algebraic structure is a quantity A together with ...
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Algebraic structure   (translated from French)
Algebraic structure In mathematic , more particularly in algèbre , one algebraic structure is made of one ensemble compound with ... composition. anneau : a unit provided with a structure of group (the law of composition being named addition) and of a structure of magma associative (the corresponding law of ... view algebraic or geometrical. Algebraically, one external structure is one ensemble provided with one ...
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