conormal category

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Normal morphism — In category theory and its applications to mathematics, a normal monomorphism or conormal epimorphism is a particularly well behaved type of morphism. A normal category is a category in which every monomorphism is normal. A conormal category is… … Wikipedia
Isomorphism theorem — In mathematics, specifically abstract algebra, the isomorphism theorems are three theorems that describe the relationship between quotients, homomorphisms, and subobjects. Versions of the theorems exist for groups, rings, vector spaces, modules,… … Wikipedia
Cotangent complex — In mathematics the cotangent complex is a roughly a universal linearization of a morphism of geometric or algebraic objects. Cotangent complexes were originally defined in special cases by a number of authors. Luc Illusie, Daniel Quillen, and M.… … Wikipedia
Cokernel — Coker (mathematics) redirects here. For other uses, see Coker (disambiguation). In mathematics, the cokernel of a linear mapping of vector spaces f : X → Y is the quotient space Y/im(f) of the codomain of f by the image of f. Cokernels are… … Wikipedia
Ideal sheaf — In algebraic geometry and other areas of mathematics, an ideal sheaf (or sheaf of ideals) is the global analogue of an ideal in a ring. The ideal sheaves on a geometric object are closely connected to its subspaces. Definition Let X be a… … Wikipedia

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