strong epimorphism

См. также в других словарях:

• Epimorphism — In category theory an epimorphism (also called an epic morphism or an epi) is a morphism f : X rarr; Y which is right cancellative in the following sense: : g 1 o f = g 2 o f implies g 1 = g 2 for all morphisms g 1, g 2 : Y rarr; Z .Epimorphisms… …   Wikipedia

• Ring homomorphism — In ring theory or abstract algebra, a ring homomorphism is a function between two rings which respects the operations of addition and multiplication. More precisely, if R and S are rings, then a ring homomorphism is a function f : R → S such that …   Wikipedia

• Monomorphism — This page is about the mathematical term. For other uses, see Monomorphic (disambiguation) or Polymorphism (disambiguation). In the context of abstract algebra or universal algebra, a monomorphism is an injective homomorphism. A monomorphism from …   Wikipedia

• Depth of noncommutative subrings — In ring theory and Frobenius algebra extensions, fields of mathematics, there is a notion of depth two subring or depth of a Frobenius extension. The notion of depth two is important in a certain noncommutative Galois theory, which generates Hopf …   Wikipedia

• Element (category theory) — In category theory, the concept of an element, or a point, generalizes the more usual set theoretic concept of an element of a set to an object of any category. This idea often allows to restate definitions or properties of morphisms (such as… …   Wikipedia

• Equivalence of categories — In category theory, an abstract branch of mathematics, an equivalence of categories is a relation between two categories that establishes that these categories are essentially the same . There are numerous examples of categorical equivalences… …   Wikipedia

• List of important publications in mathematics — One of the oldest surviving fragments of Euclid s Elements, found at Oxyrhynchus and dated to circa AD 100. The diagram accompanies Book II, Proposition 5.[1] This is a list of important publications in mathematics, organized by field. Some… …   Wikipedia

• Category theory — In mathematics, category theory deals in an abstract way with mathematical structures and relationships between them: it abstracts from sets and functions to objects and morphisms . Categories now appear in most branches of mathematics and in… …   Wikipedia

• Product (category theory) — In category theory, the product of two (or more) objects in a category is a notion designed to capture the essence behind constructions in other areas of mathematics such as the cartesian product of sets, the direct product of groups, the direct… …   Wikipedia

• Coproduct — This article is about coproducts in categories. For coproduct in the sense of comultiplication, see Coalgebra. In category theory, the coproduct, or categorical sum, is the category theoretic construction which includes the disjoint union of sets …   Wikipedia