Approximations and Endomorphism Algebras of Modules. 2 Baende
Language: English
Published by De Gruyter, 2012
Series: Book 58 of 100 - De Gruyter Expositions in Mathematics
- Hardcover
- New
Seller: moluna, Greven, Germanymoluna
AbeBooks seller since July 9, 2020
Condition: New
£ 275.03
Quantity: Over 20 available
Add to basketItem description from seller
Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. I strongly recommend the monograph to anyone who is interested in the modern theory of modules. (pruz), EMS Newsletter 9/2007 All in all, I highly recommend the book to everyone interested in cotorsion pairs, approximation theory, .
Seller Inventory # 4455244
- Title
- Approximations and Endomorphism Algebras of Modules. 2 Baende
- Author
- Rüdiger Göbel|Jan Trlifaj
- Publisher
- De Gruyter
- Publication year
- 2012
- Condition
- New
- Binding
- Hardcover
- Language
- English
- ISBN 10
- 3110218100
- ISBN 13
- 9783110218107
- Edition
- 2nd Edition
- Dimensions
- 4 x 24.5 x 18.3
- Series
- Book 58 of 100: De Gruyter Expositions in Mathematics
- Seller catalogs
- Mathematik/Naturwissenschaften/Technik/Medizin
This second, revised and substantially extended edition of Approximations and Endomorphism Algebras of Modules reflects both the depth and the width of recent developments in the area since the first edition appeared in 2006. The new division of the monograph into two volumes roughly corresponds to its two central topics, approximation theory (Volume 1) and realization theorems for modules (Volume 2).
It is a widely accepted fact that the category of all modules over a general associative ring is too complex to admit classification. Unless the ring is of finite representation type we must limit attempts at classification to some restricted subcategories of modules. The wild character of the category of all modules, or of one of its subcategories C, is often indicated by the presence of a realization theorem, that is, by the fact that any reasonable algebra is isomorphic to the endomorphism algebra of a module from C. This results in the existence of pathological direct sum decompositions, and these are generally viewed as obstacles to classification. In order to overcome this problem, the approximation theory of modules has been developed. The idea here is to select suitable subcategories C whose modules can be classified, and then to approximate arbitrary modules by those from C. These approximations are neither unique nor functorial in general, but there is a rich supply available appropriate to the requirements of various particular applications.
The authors bring the two theories together. The first volume, Approximations, sets the scene in Part I by introducing the main classes of modules relevant here: the S-complete, pure-injective, Mittag-Leffler, and slender modules. Parts II and III of the first volume develop the key methods of approximation theory. Some of the recent applications to the structure of modules are also presented here, notably for tilting, cotilting, Baer, and Mittag-Leffler modules. In the second volume, Predictions, further basic instruments are introduced: the prediction principles, and their applications to proving realization theorems. Moreover, tools are developed there for answering problems motivated in algebraic topology. The authors concentrate on the impossibility of classification for modules over general rings. The wild character of many categories C of modules is documented here by the realization theorems that represent critical R-algebras over commutative rings R as endomorphism algebras of modules from C.
The monograph starts from basic facts and gradually develops the theory towards its present frontiers. It is suitable both for graduate students interested in algebra and for experts in module and representation theory.
"Synopsis" may belong to another edition of this title.
About the Author
Rüdiger Göbel, University of Duisburg-Essen, Germany; Jan Trlifaj, Charles University in Prague, Czech Republic.
"About the title" may belong to another edition of this title.
Shipping rates from Germany to U.S.A.
| Item | 16 to 45 business days | 16 to 45 business days |
|---|---|---|
| First item | £ 42.01 | £ 42.01 |
Payment methods
- Bank Wire Transfer
- Check
- Paypal
Store description
Online Handel nur mit Neubüchern
Seller's business information
Moluna GmbH
Engberdingdamm 27
Greven, Germany 48268
Terms of sale
About Us
Legal website operator identification:
Moluna GmbH
Represented by the general manager Helge Blischke
Engberdingdamm 27
48268 Greven
Germany
Telephone: 02571/5698933
Telefax: 02571/5698930
E-Mail: abe@moluna.de
VAT No.: DE296281834
listed in the commercial register of the local court Steinfurt
Commercial register number - Part B of the commercial register - 10553
We are a member of the initiative „FairCommerce“ since 24.07.2015.
For more information, see: www.haendlerbund.de/faircommerce.
Right of withdrawal
If you are a consumer you can withdraw from the contract in accordance with the following. Consumer means any natural person who is acting for purposes which are outside his trade, business, craft or profession.
Information regarding the right of withdrawal
Statutory right to withdraw
You have the right to withdraw from this contract within 14 days without giving any reason.
The withdrawal period will expire after 14 days from the day on which you acquire, or a third party other than the carrier and indicated by you acquires, physical possession of the last good or the last lot or piece.
To exercise the right of withdrawal, electronically fill in and submit a clear statement on our website, under "My Purchases" in "My Account". We will communicate to you an acknowledgement of receipt of such a withdrawal on a durable medium (e.g. by e-mail) without delay.
To meet the withdrawal deadline, it is sufficient for you to send your communication concerning your exercise of the right of withdrawal before the withdrawal period has expired.
Effects of withdrawal
If you withdraw from this contract, we will reimburse to you all payments received from you, including the costs of delivery (except for the supplementary costs arising if you chose a type of delivery other than the least expensive type of standard delivery offered by us).
We may make a deduction from the reimbursement for loss in value of any goods supplied, if the loss is the result of unnecessary handling by you.
We will make the reimbursement without undue delay, and not later than 14 days after the day on which we are informed about your decision to withdraw from this contract.
We will make the reimbursement using the same means of payment as you used for the initial transaction, unless you have expressly agreed otherwise; in any event, you will not incur any fees as a result of such reimbursement.
We may withhold reimbursement until we have received the goods back, or you have supplied evidence of having sent back the goods, whichever is the earliest.
You shall send back the goods or hand them over to moluna, Greven, Germany, without undue delay and in any event not later than 14 days from the day on which you communicate your withdrawal from this contract to us. The deadline is met if you send back the goods before the period of 14 days has expired. You will have to bear the direct cost of returning the goods. You are only liable for any diminished value of the goods resulting from the handling other than what is necessary to establish the nature, characteristics and functioning of the goods.
Exceptions to the right of withdrawal
The right of withdrawal does not apply to:
- The delivery of newspapers, journals or magazines with the exception of subscription contracts; and
- The supply of digital content which is not supplied on a tangible medium (e.g. on a CD or DVD) if you accepted when you placed your order that we could start to deliver it, and that you could not withdraw once delivery had started.