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You are free: to share – to copy, distribute and transmit the work; to remix – to adapt the work; Under the following conditions: attribution – You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses ...
An equidimensional scheme (or, pure dimensional scheme) is a scheme all of whose irreducible components are of the same dimension (implicitly assuming the dimensions are all well-defined). Examples [ edit ]
By definition, a morphism of schemes is just a morphism of locally ringed spaces. Isomorphisms are defined accordingly. A scheme, by definition, has open affine charts and thus a morphism of schemes can also be described in terms of such charts (compare the definition of morphism of varieties). [1] Let ƒ:X→Y be a morphism of schemes.
An ornamental tone following a principal tone by a skip up or down, usually of a third, and proceeding in the opposite direction by a step, not to be confused with changing tone. canon or kanon (Ger.) A theme that is repeated and imitated and built upon by other instruments with a time delay, creating a layered effect; see Pachelbel's Canon.
In mathematics, specifically algebraic geometry, a scheme is a structure that enlarges the notion of algebraic variety in several ways, such as taking account of multiplicities (the equations x = 0 and x 2 = 0 define the same algebraic variety but different schemes) and allowing "varieties" defined over any commutative ring (for example, Fermat curves are defined over the integers).
In category theory, a branch of mathematics, the opposite category or dual category C op of a given category C is formed by reversing the morphisms, i.e. interchanging the source and target of each morphism. Doing the reversal twice yields the original category, so the opposite of an opposite category is the original category itself.
The term antonym (and the related antonymy) is commonly taken to be synonymous with opposite, but antonym also has other more restricted meanings. Graded (or gradable) antonyms are word pairs whose meanings are opposite and which lie on a continuous spectrum (hot, cold).
Taxonymy (not to be confused with, though related to, taxonomy) is a sub-variety of hyponymy.Within the structure of a taxonomic lexical hierarchy, two types of hyponymic relation may be distinguished: the first—exemplified in "An X is a Y"—corresponds to so-called "simple" hyponymy; the second—that which is exemplified in "An X is a kind/type of Y"—is more discriminating, and ...