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 ?
3) For any A, B, C [member of] Ob(C), and any f [member of] H(A, B) and g [member of] H(B, C), a morphism h [member of] H(A, C) called the composite of f and g, and written gf;
For each object A, a distinguished morphism, called identity on A.
In essence, a groupoid G consists of both a set of objects X and a set of morphisms, or 'arrows', each of which project to an object in X, and all such morphisms are invertible.
k] is an affine morphism of affines bundles over [T.
2] is a homomorphism between graded rings, then we do not necessarily get a corresponding morphism Proj([D.
an operation id (identity) assigning to each object b a morphism idb such that dom(idb) = cod(idb) = b
Changes associated with carcinoma--such as mitotic figures, cellular pleo morphism, desmoplastic reaction, or vascular/perineural invasion--are not seen.
Arrows between letters, such as V, T, represent relationships and can be denoted Mor(V,T), a morphism between V and T, which can be thought of as an arrow linking internal dots in the bags.
And for that the practice of some such technique as active imagination, lucid dreaming, and Dali's 'paranoiac-critical method' (at the onset of his illustrious career Lacan supposedly made an effort to discuss it with Dali), will be far more illuminating and productive than any morphodynamic modelling practiced by those who are eminently impotent in both noetic modes: the intellective morphism and its autogenerative dynamis.
A very queer sexual morphism touches practically all of the male characters on The Simpsons, one which is often used rather simplistically as commentary on such characters' stability and trust-worthiness.
Thus, gross morphism could be defined as the presence of violent reaction, horror, repulsion or pity to the facial difference(s) of another; marked morphism as definitely noticeable reactions from others such as repulsion, jokes, pity; and so on.
We recall that an object S from C is M-injective in C provided that for any morphism h: A [right arrow] B in M and any morphism f: A [right arrow] S in C there exists a morphism g: B [right arrow] S such that gh = f.