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图书信息 书号: 9781541501003 作者: Nancy Dickmann 装帧: 精装 页数: 32页 出版社: Lerner Publishing Group 尺寸: 22.9 x 17.8 x 0.0 cm 出版日期: 2018-08-01 重量: 454g 语种: 其它(含多语) 内容简介 From the phases of the moon seen on Earth to the rotation of far-o
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Product Details 基本信息 ISBN-13 书号 9781470414689 Author 作者 M. Dickmann Format 版本 平装-胶订 Pages Number 页数 129页 Publisher 出版社 American Mathematical Society (AMS) Publication Date 出版日期 2015-10-14 Language 语种 英语 Book Contents 内容简介 In this monograph the authors extend the classical algebraic theory of quadratic forms over fields to diagonal quadratic forms with invertible entries over broad classes of commutative, unitary rings where $-1$ is not a sum of squares and $2$ is invertible. They accomplish this by: (1) Extending the classical notion of matrix isometry of forms to a suitable notion of $T$-isometry, where $T$ is a preorder of the given ring, $A$, or $T = A^2$. (2) Introducing in this context three axioms expressing simple properties of (value) representation of elements of the ring by quadratic forms, well-known to hold in the field case.
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Product Details 基本信息 ISBN-13 书号 9781107146723 Author 作者 Max Dickmann Format 版本 精装 Pages Number 页数 657页 Publisher 出版社 Cambridge University Press Publication Date 出版日期 2019-03-21 Language 语种 英语 Book Contents 内容简介 Spectral spaces are a class of topological spaces. They are a tool linking algebraic structures, in a very wide sense, with geometry. They were invented to give a functional representation of Boolean algebras and distributive lattices and subsequently gained great prominence as a consequence of Grothendieck’s invention of schemes. There are more than 1,000 research articles about spectral spaces, but this is the first monograph. It provides an introduction to the subject and is a unified treatment of results scattered across the literature, filling in gaps and showing the connections between different results. The book includes new research going beyond the existing
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