Commutative Algebra : : An Introduction / / J. William Hoffman, Xiaohong Jia, Haohao Wang.
The purpose of this book is twofold: to present some basic ideas in commutative algebra and algebraic geometry and to introduce topics of current research, centered around the themes of Gröbner bases, resultants and syzygies. The presentation of the material combines definitions and proofs with an e...
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Place / Publishing House: | Dulles, VA : : Mercury Learning and Information, , [2016] ©2016 |
Year of Publication: | 2016 |
Language: | English |
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Physical Description: | 1 online resource (300 p.) |
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Hoffman, J. William, author. aut http://id.loc.gov/vocabulary/relators/aut Commutative Algebra : An Introduction / J. William Hoffman, Xiaohong Jia, Haohao Wang. Dulles, VA : Mercury Learning and Information, [2016] ©2016 1 online resource (300 p.) text txt rdacontent computer c rdamedia online resource cr rdacarrier text file PDF rda Frontmatter -- Contents -- Preface -- List of Figures -- 1. Introduction -- 2. Rings and Ideals -- 3. Modules -- 4. Graded and Local Rings and Modules -- 5. Homological Method -- Bibliography -- Index restricted access http://purl.org/coar/access_right/c_16ec online access with authorization star The purpose of this book is twofold: to present some basic ideas in commutative algebra and algebraic geometry and to introduce topics of current research, centered around the themes of Gröbner bases, resultants and syzygies. The presentation of the material combines definitions and proofs with an emphasis on concrete examples. The authors illustrate the use of software such as Mathematica and Singular. The design of the text in each chapter consists of two parts: the fundamentals and the applications, which make it suitable for courses of various lengths, levels, and topics based on the mathematical background of the students. The fundamentals portion of the chapter is intended to be read with minimal outside assistance, and to learn some of the most useful tools in commutative algebra. The applications of the chapter are to provide a glimpse of the advanced mathematical research where the topics and results are related to the material presented earlier. In the applications portion, the authors present a number of results from a wide range of sources without detailed proofs. The applications portion of the chapter is suitable for a reader who knows a little commutative algebra and algebraic geometry already, and serves as a guide to some interesting research topics.This book should be thought of as an introduction to more advanced texts and research topics. Its novelty is that the material presented is a unique combination of the essential methods and the current research results. The goal is to equip readers with the fundamental classical algebra and geometry tools, ignite their research interests, and initiate some potential research projects in the related areas. Issued also in print. Mode of access: Internet via World Wide Web. In English. Description based on online resource; title from PDF title page (publisher's Web site, viewed 07. Mrz 2024) MATHEMATICS / Geometry / Algebraic. bisacsh Jia, Xiaohong, author. aut http://id.loc.gov/vocabulary/relators/aut Wang, Haohao, author. aut http://id.loc.gov/vocabulary/relators/aut EPUB 9781944534707 print 9781944534608 https://doi.org/10.1515/9781683922643 https://www.degruyter.com/isbn/9781683922643 Cover https://www.degruyter.com/document/cover/isbn/9781683922643/original |
language |
English |
format |
eBook |
author |
Hoffman, J. William, Hoffman, J. William, Jia, Xiaohong, Wang, Haohao, |
spellingShingle |
Hoffman, J. William, Hoffman, J. William, Jia, Xiaohong, Wang, Haohao, Commutative Algebra : An Introduction / Frontmatter -- Contents -- Preface -- List of Figures -- 1. Introduction -- 2. Rings and Ideals -- 3. Modules -- 4. Graded and Local Rings and Modules -- 5. Homological Method -- Bibliography -- Index |
author_facet |
Hoffman, J. William, Hoffman, J. William, Jia, Xiaohong, Wang, Haohao, Jia, Xiaohong, Jia, Xiaohong, Wang, Haohao, Wang, Haohao, |
author_variant |
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author_role |
VerfasserIn VerfasserIn VerfasserIn VerfasserIn |
author2 |
Jia, Xiaohong, Jia, Xiaohong, Wang, Haohao, Wang, Haohao, |
author2_variant |
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author2_role |
VerfasserIn VerfasserIn VerfasserIn VerfasserIn |
author_sort |
Hoffman, J. William, |
title |
Commutative Algebra : An Introduction / |
title_sub |
An Introduction / |
title_full |
Commutative Algebra : An Introduction / J. William Hoffman, Xiaohong Jia, Haohao Wang. |
title_fullStr |
Commutative Algebra : An Introduction / J. William Hoffman, Xiaohong Jia, Haohao Wang. |
title_full_unstemmed |
Commutative Algebra : An Introduction / J. William Hoffman, Xiaohong Jia, Haohao Wang. |
title_auth |
Commutative Algebra : An Introduction / |
title_alt |
Frontmatter -- Contents -- Preface -- List of Figures -- 1. Introduction -- 2. Rings and Ideals -- 3. Modules -- 4. Graded and Local Rings and Modules -- 5. Homological Method -- Bibliography -- Index |
title_new |
Commutative Algebra : |
title_sort |
commutative algebra : an introduction / |
publisher |
Mercury Learning and Information, |
publishDate |
2016 |
physical |
1 online resource (300 p.) Issued also in print. |
contents |
Frontmatter -- Contents -- Preface -- List of Figures -- 1. Introduction -- 2. Rings and Ideals -- 3. Modules -- 4. Graded and Local Rings and Modules -- 5. Homological Method -- Bibliography -- Index |
isbn |
9781683922643 9781944534707 9781944534608 |
url |
https://doi.org/10.1515/9781683922643 https://www.degruyter.com/isbn/9781683922643 https://www.degruyter.com/document/cover/isbn/9781683922643/original |
illustrated |
Not Illustrated |
dewey-hundreds |
500 - Science |
dewey-tens |
510 - Mathematics |
dewey-ones |
512 - Algebra |
dewey-full |
512.4 |
dewey-sort |
3512.4 |
dewey-raw |
512.4 |
dewey-search |
512.4 |
doi_str_mv |
10.1515/9781683922643 |
oclc_num |
1394872018 |
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Commutative Algebra : An Introduction / |
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