Spectrum of a Module Category. (Record no. 69937)
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| 000 -LEADER | |
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| fixed length control field | 04523nam a22004693i 4500 |
| 001 - CONTROL NUMBER | |
| control field | EBC3114442 |
| 003 - CONTROL NUMBER IDENTIFIER | |
| control field | MiAaPQ |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20240729124608.0 |
| 006 - FIXED-LENGTH DATA ELEMENTS--ADDITIONAL MATERIAL CHARACTERISTICS | |
| fixed length control field | m o d | |
| 007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION | |
| fixed length control field | cr cnu|||||||| |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 240724s2001 xx o ||||0 eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9781470402983 |
| Qualifying information | (electronic bk.) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| Canceled/invalid ISBN | 9780821826188 |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (MiAaPQ)EBC3114442 |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (Au-PeEL)EBL3114442 |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (CaPaEBR)ebr11041220 |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (OCoLC)922965064 |
| 040 ## - CATALOGING SOURCE | |
| Original cataloging agency | MiAaPQ |
| Language of cataloging | eng |
| Description conventions | rda |
| -- | pn |
| Transcribing agency | MiAaPQ |
| Modifying agency | MiAaPQ |
| 050 #4 - LIBRARY OF CONGRESS CALL NUMBER | |
| Classification number | QA247.3 -- .K73 2001eb |
| 082 0# - DEWEY DECIMAL CLASSIFICATION NUMBER | |
| Classification number | 510 s;512/.74 |
| 100 1# - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Krause, Henning. |
| 245 10 - TITLE STATEMENT | |
| Title | Spectrum of a Module Category. |
| 250 ## - EDITION STATEMENT | |
| Edition statement | 1st ed. |
| 264 #1 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE | |
| Place of production, publication, distribution, manufacture | Providence : |
| Name of producer, publisher, distributor, manufacturer | American Mathematical Society, |
| Date of production, publication, distribution, manufacture, or copyright notice | 2001. |
| 264 #4 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE | |
| Date of production, publication, distribution, manufacture, or copyright notice | ©2001. |
| 300 ## - PHYSICAL DESCRIPTION | |
| Extent | 1 online resource (143 pages) |
| 336 ## - CONTENT TYPE | |
| Content type term | text |
| Content type code | txt |
| Source | rdacontent |
| 337 ## - MEDIA TYPE | |
| Media type term | computer |
| Media type code | c |
| Source | rdamedia |
| 338 ## - CARRIER TYPE | |
| Carrier type term | online resource |
| Carrier type code | cr |
| Source | rdacarrier |
| 490 1# - SERIES STATEMENT | |
| Series statement | Memoirs of the American Mathematical Society ; |
| Volume/sequential designation | v.149 |
| 505 0# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | Intro -- Contents -- Chapter 0. Introduction -- Chapter 1. The functor category -- 1.1. Preliminaries -- 1.2. Purity -- Chapter 2. Definable subcategories -- 2.1. Definable subcategories -- 2.2. Saturation -- 2.3. The Ziegler topology -- 2.4. Definable quotient categories -- 2.5. Examples -- Chapter 3. Left approximations -- 3.1. Left almost split maps -- 3.2. Left approximations -- 3.3. Minimal left approximations -- Chapter 4. Duality -- 4.1. Purely equivalent and purely opposed modules -- 4.2. The dual of a definable subcategory -- 4.3. Pure-reflexive modules -- Chapter 5. Ideals in the category of finitely presented modules -- 5.1. Fp-idempotent ideals -- 5.2. Ideals generated by idempotents -- Chapter 6. Endofinite modules -- 6.1. The endocategory of a module -- 6.2. ∑-pure-injective modules -- 6.3. Product-complete modules -- 6.4. Endofinite modules -- 6.5. Generic modules -- 6.6. Ideals of finite length -- Chapter 7. Krull-Gabriel dimension -- 7.1. The Krull-Gabriel dimension of a ring -- 7.2. The Krull-Gabriel dimension of a module -- Chapter 8. The infinite radical -- 8.1. The preinjective dimension of a module -- 8.2. Transfinite powers of the Jacobson radical -- Chapter 9. Functors between module categories -- 9.1. Coherent functors -- Chapter 10. Tame algebras -- 10.1. Endofinitely tame algebras -- 10.2. Functors preserving tameness -- 10.3. Representation embeddings -- 10.4. One-parameter families and generic modules -- Chapter 11. Rings of definable scalars -- 11.1. Rings of definable scalars -- 11.2. Calculus of fractions -- 11.3. Biendomorphism rings -- 11.4. Basic properties -- 11.5. Epimorphisms of rings -- Chapter 12. Reflective definable subcategories -- 12.1. Reflective definable subcategories -- 12.2. Φ-continuous modules -- 12.3. Definable and universal localizations -- Chapter 13. Sheaves. |
| 505 8# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | 13.1. Sheaves on the Gabriel spectrum -- 13.2. The Zariski topology -- 13.3. Structure sheaves -- 13.4. Associated sheaves of modules -- Chapter 14. Tame hereditary algebras -- 14.1. Preliminaries -- 14.2. A parametrizing curve -- Chapter 15. Coherent rings -- 15.1. Preliminaries -- 15.2. Prime spectrum versus Gabriel spectrum -- 15.3. The global section functor -- Appendix A. Locally coherent Grothendieck categories -- A.1. Localization in abelian categories -- A.2. Locally coherent Grothendieck categories -- A.3. Localization in locally coherent Grothendieck categories -- A.4. Locally noetherian categories -- Appendix B. Dimensions -- B.1. The dimension of an abelian category -- B.2. The dimension of a modular lattice -- Appendix C. Finitely presented functors and ideals -- C.1. The category of finitely presented functors -- C.2. Ideals in additive categories -- Bibliography. |
| 588 ## - SOURCE OF DESCRIPTION NOTE | |
| Source of description note | Description based on publisher supplied metadata and other sources. |
| 590 ## - LOCAL NOTE (RLIN) | |
| Local note | Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2024. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Injective modules (Algebra). |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Categories (Mathematics). |
| 655 #4 - INDEX TERM--GENRE/FORM | |
| Genre/form data or focus term | Electronic books. |
| 776 08 - ADDITIONAL PHYSICAL FORM ENTRY | |
| Relationship information | Print version: |
| Main entry heading | Krause, Henning |
| Title | Spectrum of a Module Category |
| Place, publisher, and date of publication | Providence : American Mathematical Society,c2001 |
| International Standard Book Number | 9780821826188 |
| 797 2# - LOCAL ADDED ENTRY--CORPORATE NAME (RLIN) | |
| Corporate name or jurisdiction name as entry element | ProQuest (Firm) |
| 830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE | |
| Uniform title | Memoirs of the American Mathematical Society |
| 856 40 - ELECTRONIC LOCATION AND ACCESS | |
| Uniform Resource Identifier | <a href="https://ebookcentral.proquest.com/lib/orpp/detail.action?docID=3114442">https://ebookcentral.proquest.com/lib/orpp/detail.action?docID=3114442</a> |
| Public note | Click to View |
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