- symmetric category
- мат.симметричная категория
English-Russian scientific dictionary. 2008.
symmetric category
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Symmetric multiprocessing — In computing, symmetric multiprocessing (SMP) involves a multiprocessor computer hardware architecture where two or more identical processors are connected to a single shared main memory and are controlled by a single OS instance. Most common… … Wikipedia
Symmetric algebra — In mathematics, the symmetric algebra S ( V ) (also denoted Sym ( V )) on a vector space V over a field K is the free commutative unital associative K algebra containing V .It corresponds to polynomials with indeterminates in V , without choosing … Wikipedia
Category of rings — In mathematics, the category of rings, denoted by Ring, is the category whose objects are rings (with identity) and whose morphisms are ring homomorphisms (preserving the identity). Like many categories in mathematics, the category of rings is… … Wikipedia
Category of groups — In mathematics, the category Grp has the class of all groups for objects and group homomorphisms for morphisms. As such, it is a concrete category. The study of this category is known as group theory.The monomorphisms in Grp are precisely the… … Wikipedia
Category of abelian groups — In mathematics, the category Ab has the abelian groups as objects and group homomorphisms as morphisms. This is the prototype of an abelian category.The monomorphisms in Ab are the injective group homomorphisms, the epimorphisms are the… … Wikipedia
*-autonomous category — In mathematics, a * autonomous (read star autonomous ) category C is a symmetric monoidal closed category equipped with a dualizing object . Contents 1 Definition 2 Properties 3 Examples … Wikipedia
Dagger symmetric monoidal category — A dagger symmetric monoidal category is a monoidal category which also possesses a dagger structure; in other words, it means that this category comes equipped not only with a tensor in the category theoretic sense but also with dagger structure… … Wikipedia
Closed monoidal category — In mathematics, especially in category theory, a closed monoidal category is a context where we can take tensor products of objects and also form mapping objects . A classic example is the category of sets, Set, where the tensor product of sets A … Wikipedia
Autonomous category — In mathematics, an autonomous category is a monoidal category where dual objects exist.[1] Definition A left (resp. right) autonomous category is a monoidal category where every object has a left (resp. right) dual. An autonomous category is a… … Wikipedia
Dagger category — In mathematics, a dagger category (also called involutive category or category with involution [1][2]) is a category equipped with a certain structure called dagger or involution. The name dagger category was coined by Selinger[3]. Contents … Wikipedia
Compact closed category — In category theory, compact closed categories are a general context for treating dual objects. The idea of a dual object generalizes the more familiar concept of the dual of a finite dimensional vector space. So, the motivating example of a… … Wikipedia
