Let \\(ilde{K}\\) be an algebraically closed field and consider the ideal I generated by polynomials f 1 ,…, f m in \\(ilde{K}[X_{1},\\ldots,X_{n}]\\) . The Hilbert Nullstellensatz asserts that if I is not the whole ring, then f 1 ,…, f m have a common \\(il...
Pseudo Algebraically Closed Fields Over Rings Let \\\(ilde{K}\\\) be an algebraically closed field and consider the ideal I generated by polynomials f 1,…,f m in \\\(ilde{K}[X_{1},\\\ldots,X_{n}]\\\) . The Hilbert Nullstellensatz asserts that if I is not the whole ring...
读过 在读 想读 我来写短评 热门 最新 还没人写过短评呢 << 首页 < 前页 后页> > Pseudo Algebraically Closed Field 作者: Surhone, Lambert M.; Timpledon, Miriam T.; Marseken, Susan F. 页数: 74 isbn: 6131209324 书名: Pseudo Algebraically Closed Field...
Field arithmeticPACEmbedding problemThis PhD deals with the notion of pseudo algebraically closed (PAC) extensions of fields. It develops a group-theoretic machinery, based on a generalization of embedding problems, to study these extensions. Perhaps the main result is that although there are many ...
In this paper, we prove that a pseudoexponential field has continuum many non-isomorphic countable real closed exponential subfields, each with an order preserving exponential map which is surjective onto the nonnegative elements. Indeed, this is true of any algebraically closed exponential field ...
In this paper, we prove that a pseudoexponential field has continuum many non-isomorphic countable real closed exponential subfields, each with an order preserving exponential map which is surjective onto the nonnegative elements. Indeed, this is true of any algebraically closed exponential field satis...
We construct pseudo-elliptic bundles starting from a deformation datum defined over the function field of a curve over an algebraically closed field of positive characteristic. This leads us to study a variant of Dwork's accessary parameter problem. We give applications of our results to Galois ...
Let \\\(ilde K\\\) be an algebraically closed field and consider the ideal I generated by polynomials f 1 ,..., f m in \\\(ilde K\\\left[ {{X_1}, \\\ldots {X_n}} ight]\\\) . The Hilbert Nullstellensatz asserts that if I is not the whole ring, then f 1 ,...,...
The field F can be pseudo-algebraically closed but not perfect; indeed, the non-perfect case is one of the interesting aspects of this paper. Heretofore, this concept has been considered only for a perfect field F, in which case it is equivalent to each nonvoid, absolutely irreducible F-...
Let \\\(ilde{K}\\\) be an algebraically closed field and consider the ideal I generated by polynomials f 1,…,f m in \\\(ilde{K}[X_{1},\\\ldots,X_{n}]\\\) . The Hilbert Nullstellensatz asserts that if I is not the whole ring, then f 1,…,f m have a common \...