morphism

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morphism

[′mȯr‚fiz·əm]
(mathematics)
The class of elements which together with objects form a category; in most cases, morphisms are functions which preserve some structure on a set.
References in periodicals archive ?
Given an algebra group G = 1 + g and a map [dagger] as above, we define a Springer morphism f: G [?
the composite of morphisms f and g is defined as the composite of two linear maps between two linear spaces.
A relation on morphisms and pairs of objects, called typing of the morphisms.
where the groupoid morphisms ([alpha],[beta]) onto objects, are called the range and source maps, respectively.
Morphisms between A-weighted sets are weight preserving bijections.
X] is coherently filtered if locally there is for every x [member of] X, an open U containing x, such that we have an exact sequence of sheaf morphisms
a family of morphisms {fi: di [right arrow] x i [member of] I} such that for each arrow g: di [right arrow] dj in D, we have fj o g = fi, as shown in Figure 1(a).
functions and maps, operators and morphisms bind on type of
Let C be a category and let M be a class of morphisms in C.
They play a role in Geometric Complexity Theory, which seeks to separate complexity classes such as P and NP by associating group-theoretic varieties to them, and then proving the non-existence of injective morphisms from one to the other by displaying representation theoretic obstructions [13, 14].
In an extended theoretical study in [8] we develop a formal notion of schema morphisms, show that the corresponding category of schemata with these morphisms is finitely complete and co-complete, and also show that the algebra in this paper is well-defined and complete in the sense that all operators give rise to canonical morphisms, and all finite limits and co-limits can be expressed by the algebra.
i]/i [member of] I}, there exist a unique morphisms f: [P.