# affine algebraic set造句

## 例句与造句

- Affine varieties can be given a natural topology by declaring the closed sets to be precisely the
*affine algebraic sets*. - Like for
*affine algebraic sets*, there is a bijection between the projective algebraic sets and the reduced homogeneous ideals which define them. - The projective Zariski topology is defined for projective algebraic sets just as the affine one is defined for
*affine algebraic sets*, by taking the subspace topology. - A nonempty
*affine algebraic set*" V " is called "'irreducible "'if it cannot be written as the union of two proper algebraic subsets. - This translates, in algebraic geometry, into the fact that the coordinate ring of an
*affine algebraic set*is an integral domain if and only if the algebraic set is an algebraic variety. - It's difficult to find
*affine algebraic set*in a sentence. 用*affine algebraic set*造句挺难的 - An irreducible
*affine algebraic set*is also called an "'affine variety "'. ( Many authors use the phrase " affine variety " to refer to any affine algebraic set, irreducible or not) - An irreducible affine algebraic set is also called an "'affine variety "'. ( Many authors use the phrase " affine variety " to refer to any
*affine algebraic set*, irreducible or not) - If " X " is an
*affine algebraic set*( irreducible or not ) then the Zariski topology on it is defined simply to be the subspace topology induced by its inclusion into some \ mathbb { A } ^ n. - In algebraic geometry, an affine variety ( or, more generally, an
*affine algebraic set*) is defined as the subset of an affine space that is the set of the common zeros of a set of so-called " polynomial functions over the affine space ". - More generally, a polynomial defined over a field " K " is absolutely irreducible if it is irreducible over every algebraic extension of " K ", and an
*affine algebraic set*defined by equations with coefficients in a field " K " is absolutely irreducible if it is not the union of two algebraic sets defined by equations in an algebraically closed extension of " K ". - Another application, in algebraic geometry, is that " elimination " realizes the geometric operation of projection of an
*affine algebraic set*into a subspace of the ambient space : with above notation, the ( Zariski closure of ) the projection of the algebraic set defined by the ideal " I " into the " Y "-subspace is defined by the ideal I \ cap K [ Y ].