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Elements of Algebraic Geometry (Classic Reprint) - Softcover

 
9780331449396: Elements of Algebraic Geometry (Classic Reprint)

Synopsis

Excerpt from Elements of Algebraic Geometry

Basis Condition: Every ideal in,0' has a finite basis, l.o., for any ideal (f, there exists a finite number of elements ai, i in the ideal 06 such that 0: evil.

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This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.

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  • PublisherForgotten Books
  • Publication date2018
  • ISBN 10 0331449390
  • ISBN 13 9780331449396
  • BindingPaperback
  • Number of pages154

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9780331513240: Elements of Algebraic Geometry (Classic Reprint)

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ISBN 10:  0331513242 ISBN 13:  9780331513240
Publisher: Forgotten Books, 2018
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Paperback. Condition: New. Print on Demand. This book delves into the intricate world of algebraic geometry, a branch of mathematics that explores the interplay between geometric objects and their corresponding algebraic equations. The author lays out fundamental concepts like Noetherian rings, algebraic sets, and varieties, gradually building towards more complex ideas. The text then introduces the notion of "generic points," special points within varieties that hold key information about the entire set. Moving beyond foundational elements, the book explores the connection between valuation rings, places, and valuations, culminating in a powerful theorem on extending homomorphisms to places. This result serves as a springboard for further investigations in algebraic geometry, allowing mathematicians to glean deeper insights into the geometric landscape through the lens of algebra. Ultimately, this book offers a rigorous and insightful journey into the heart of algebraic geometry, revealing the profound connections between seemingly disparate mathematical realms. Forgotten Books publishes hundreds of thousands of rare and classic books. This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works. The digital edition of all books may be viewed on our website before purchase. print-on-demand item. Seller Inventory # 9780331449396_0

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