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Titlebook: Rings and Geometry; Rüstem Kaya,Peter Plaumann,Karl Strambach Book 1985 D. Reidel Publishing Company 1985 algebra.algebraic geometry.commu

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發(fā)表于 2025-3-21 18:13:16 | 只看該作者 |倒序瀏覽 |閱讀模式
書目名稱Rings and Geometry
編輯Rüstem Kaya,Peter Plaumann,Karl Strambach
視頻videohttp://file.papertrans.cn/831/830419/830419.mp4
叢書名稱Nato Science Series C:
圖書封面Titlebook: Rings and Geometry;  Rüstem Kaya,Peter Plaumann,Karl Strambach Book 1985 D. Reidel Publishing Company 1985 algebra.algebraic geometry.commu
描述When looking for applications of ring theory in geometry, one first thinks of algebraic geometry, which sometimes may even be interpreted as the concrete side of commutative algebra. However, this highly de- veloped branch of mathematics has been dealt with in a variety of mono- graphs, so that - in spite of its technical complexity - it can be regarded as relatively well accessible. While in the last 120 years algebraic geometry has again and again attracted concentrated interes- which right now has reached a peak once more - , the numerous other applications of ring theory in geometry have not been assembled in a textbook and are scattered in many papers throughout the literature, which makes it hard for them to emerge from the shadow of the brilliant theory of algebraic geometry. It is the aim of these proceedings to give a unifying presentation of those geometrical applications of ring theo~y outside of algebraic geometry, and to show that they offer a considerable wealth of beauti- ful ideas, too. Furthermore it becomes apparent that there are natural connections to many branches of modern mathematics, e. g. to the theory of (algebraic) groups and of Jordan algebras, and to co
出版日期Book 1985
關(guān)鍵詞algebra; algebraic geometry; commutative algebra; homomorphism; linear algebra; matrices; matrix; quadratic
版次1
doihttps://doi.org/10.1007/978-94-009-5460-1
isbn_softcover978-94-010-8911-1
isbn_ebook978-94-009-5460-1Series ISSN 1389-2185
issn_series 1389-2185
copyrightD. Reidel Publishing Company 1985
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Rings and Geometry978-94-009-5460-1Series ISSN 1389-2185
板凳
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Metric Geometry over Local-Global Commutative RingsThe research topics and directions of metric geometry in U. S. institutions were heavily influenced by two publications in the 1950’s -- Dieudonne’s American Mathematical Society Memoir #2, . in 1950 and Artin’s graduate text . published by Wiley-Interscience in 1957.
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Kinematic Algebras and Their GeometriesIn this chapter we will discuss kinematic algebras and their applications in geometry. We begin (§1) with a survey of the development of kinematics. The subjects covered in this paper will be found in §2.
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Nato Science Series C:http://image.papertrans.cn/r/image/830419.jpg
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https://doi.org/10.1007/978-94-009-5460-1algebra; algebraic geometry; commutative algebra; homomorphism; linear algebra; matrices; matrix; quadratic
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1389-2185 apparent that there are natural connections to many branches of modern mathematics, e. g. to the theory of (algebraic) groups and of Jordan algebras, and to co978-94-010-8911-1978-94-009-5460-1Series ISSN 1389-2185
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