Copied Ideals and Reality
Ideals and Reality
Besides giving an introduction to Commutative Algebra - the theory of c- mutative rings - this book is devoted to the study of projective modules and the minimal number of generators of modules and ideals. The notion of a module over a ring R is a generalization of that of a vector space over a field k. The axioms are identical. But whereas every vector space possesses a basis, a module need not always have one. Modules possessing a basis are called free. So a finitely generated free R-module is of the form Rn for some n E IN, equipped with the usual operations. A module is called p- jective, iff it is a direct summand of a free one. Especially a finitely generated R-module P is projective iff there is an R-module Q with P @ Q S Rn for some n. Remarkably enough there do exist nonfree projective modules. Even there are nonfree P such that P @ Rm S Rn for some m and n. Modules P having the latter property are called stably free. On the other hand there are many rings, all of whose projective modules are free, e. g. local rings and principal ideal domains. (A commutative ring is called local iff it has exactly one maximal ideal. ) For two decades it was a challenging problem whether every projective module over the polynomial ring k[X1,. .
Price Comparison
| Seller | Contact Seller | List Price | On Sale | Shipping | Best Promo | Final Price | Volume Discount | Financing | Availability | Seller's Page |
|---|---|---|---|---|---|---|---|---|---|---|
|
BEST PRICE 1 Product Purchase
|
|
$84.99 | $84.99 |
|
$84.99 | See Site | In stock | Visit Store |
Reviews
Questions & Answers
International Conference on Advancements of Medicine and Health Care through Technology; 29th August
$169.00
Philosophie als Erfahrungswissenschaft
$59.99
Professionelle Bildungsberatung
$29.99
Sledgehammer
$59.99
Legale Kartelle
$49.99
Computational Linguistics and Talking Robots
$89.00
Advances in Production Management Systems. Sustainable Production and Service Supply Chains
$109.99
La luna, la luna
$3.71
Zwischen Rathaus, Milieu und Netzwerk
$74.99
The Geographies of Digital Sexuality
$79.99
The Growth of the Fruit and Vegetable Export Industry in Peru
$64.99
Malaysias Leap Into the Future
$169.99
Strukturanalyse von lasergesinterten Schichtverbunden mit werkstoffmechanischen Methoden
$89.99
Automation and Robotics in the Architecture, Engineering, and Construction Industry
$219.99
Grundlagen der Elektrotechnik
$64.99
Creatine
$54.99
Perspectives in Sustainable Nematode Management Through Pochonia chlamydosporia Applications for Roo
$169.99
Understanding Women's Empowerment in South Asia
$199.99
Transforming Shakespeare
$38.00
Portal Hypertension in the 21st Century
$169.99
Creative City as an Urban Development Strategy
$59.99
Genetic and Evolutionary Computation GECCO 2004
$39.99
Equivalent Stress Concept for Limit State Analysis
$109.99
Applications of Artificial Intelligence and Machine Learning
$219.99
Altlastensanierung '90
$74.99
Drinking Water Supply and Agricultural Pollution
$129.00
Human Duties and the Limits of Human Rights Discourse
$109.99
Beitrge zur Altersbestimmung von Kalbsften der Schwarzbunten Niederungsrasse
$54.99
Judicial Practice, Customary International Criminal Law and Nullum Crimen Sine Lege
$139.99
S3-Leitlinie Rauchen und Tabakabhngigkeit: Screening, Diagnostik und Behandlung
$49.99
Intrusion Detection for IP-Based Multimedia Communications over Wireless Networks
$54.99
Information Systems for and Medium-sized Enterprises
$84.99
The Application of Charge Density Research to Chemistry and Drug Design
$39.99
Silent Myocardial Ischemia
$109.99
Listening and Knowledge in Reformation Europe
$99.99
The International Monetary System and the Less Developed Countries
$169.99
Frequency Domain Hybrid Finite Element Methods in Electromagnetics
$29.99
Big Data Analytics in Astronomy, Science, and Engineering
$89.00
Next Generation Sensors and Systems
$109.99
The COVID-19 - Health Systems Nexus
$159.99
