Nakayama Lemma

Author:   Lambert M. Surhone ,  Miriam T. Timpledon ,  Susan F. Marseken
Publisher:   VDM Publishing House
ISBN:  

9786131204265


Pages:   120
Publication Date:   12 August 2010
Format:   Paperback
Availability:   In Print   Availability explained
This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us.

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Nakayama Lemma


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Overview

Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. High Quality Content by WIKIPEDIA articles! In mathematics, more specifically abstract algebra and especially commutative algebra, Nakayama's lemma also known as the Krull-Azumaya theorem governs the interaction between the Jacobson radical of a ring (typically a commutative ring) and its finitely generated modules. Informally, the lemma immediately gives a precise sense in which finitely generated modules over a commutative ring behave like vector spaces over a field. It is a significant tool in algebraic geometry, because it allows local data on algebraic varieties, in the form of modules over local rings, to be studied pointwise as vector spaces over the residue field of the ring.

Full Product Details

Author:   Lambert M. Surhone ,  Miriam T. Timpledon ,  Susan F. Marseken
Publisher:   VDM Publishing House
Imprint:   VDM Publishing House
Dimensions:   Width: 22.90cm , Height: 0.70cm , Length: 15.20cm
Weight:   0.188kg
ISBN:  

9786131204265


ISBN 10:   6131204268
Pages:   120
Publication Date:   12 August 2010
Audience:   General/trade ,  General
Format:   Paperback
Publisher's Status:   Active
Availability:   In Print   Availability explained
This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us.

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