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Noncommutative Rings and Their Applications. (Record no. 69834)

MARC details
000 -LEADER
fixed length control field 06149nam a22005293i 4500
001 - CONTROL NUMBER
control field EBC3114331
003 - CONTROL NUMBER IDENTIFIER
control field MiAaPQ
005 - DATE AND TIME OF LATEST TRANSACTION
control field 20240729124605.0
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 240724s2015 xx o ||||0 eng d
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9781470422646
Qualifying information (electronic bk.)
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
Canceled/invalid ISBN 9781470410322
035 ## - SYSTEM CONTROL NUMBER
System control number (MiAaPQ)EBC3114331
035 ## - SYSTEM CONTROL NUMBER
System control number (Au-PeEL)EBL3114331
035 ## - SYSTEM CONTROL NUMBER
System control number (CaPaEBR)ebr11040335
035 ## - SYSTEM CONTROL NUMBER
System control number (OCoLC)922981793
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 QA251.4 -- .I584 2015eb
082 0# - DEWEY DECIMAL CLASSIFICATION NUMBER
Classification number 512/.46
100 1# - MAIN ENTRY--PERSONAL NAME
Personal name Dougherty, Steven.
245 10 - TITLE STATEMENT
Title Noncommutative Rings and Their Applications.
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 2015.
264 #4 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE
Date of production, publication, distribution, manufacture, or copyright notice ©2014.
300 ## - PHYSICAL DESCRIPTION
Extent 1 online resource (280 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 Contemporary Mathematics ;
Volume/sequential designation v.634
505 0# - FORMATTED CONTENTS NOTE
Formatted contents note Cover -- Title page -- Contents -- Preface -- Leavitt Path Algebras of Cayley Graphs Arising from Cyclic Groups -- References -- Characterizations of Almost Injective Modules -- 1. Introduction and Definitions -- 2. Main Result -- 3. Applications -- 4. Almost self-injectivity -- References -- Automorphism-Invariant Modules -- 1. Introduction -- 2. When is an automorphism-invariant module quasi-injective -- 3. Endomorphism rings and structure of automorphism- invariant modules -- 4. Properties of automorphism-invariant modules -- 5. Automorphism-invariant Leavitt path algebras -- 6. Modules invariant under automorphisms of their pure-injective envelope -- References -- Distributive Algebras, Isoclinism, and Invariant Probabilities -- 1. Introduction -- 2. Preliminaries -- 3. Distributive algebras -- 4. Isoclinism and isologism -- 5. Applications -- References -- Ideals of the Enveloping Algebra ( ₃) -- 1. Introduction -- 2. Motivation -- 3. The enveloping algebra as an adjoint module -- 4. A generalized Weyl algebra -- 5. Main results -- 6. Computational results -- 7. The remaining proofs -- 8. Example -- References -- On Second Submodules -- 1. Introduction -- 2. Second Submodules and Attached Primes -- 3. Second Radical Of Modules -- References -- Open Problems in Coding Theory -- 1. Introduction -- 2. Definitions and Notations -- 3. Fundamental Problem of Coding Theory -- 4. Duality for non-Abelian groups -- 5. Designs and Codes -- 6. MDS Codes -- 7. Doubly-even binary codes -- 8. Codes and Lattices -- 9. Self-Dual Codes -- 10. Decoding Algorithms -- 11. Bounds on Codes -- 12. Covering Radius -- 13. Cyclic Codes -- 14. Optimal 2-error Correcting Codes -- 15. Virtually Self-Dual Weight Enumerator -- References -- Foundations of Algebraic Coding Theory -- 1. Introduction -- 2. Classical Coding Theory.
505 8# - FORMATTED CONTENTS NOTE
Formatted contents note 3. Connections of Coding Theory in Mathematics -- 4. The Gray Map and a Shock to Classical Coding Theory -- 5. Cyclic Codes over ℤ_{ } -- 6. Frobenius Rings -- 7. Chinese Remainder Theorem -- 8. Generators of codes -- 9. Self-Dual Codes -- 10. Generalizations for Hamming Weight -- References -- Counting ℤ₂ℤ₄-Additive Codes -- 1. Introduction -- 2. Free codes -- 3. Additive Codes -- References -- From Endomorphism Rings to Some Noteworthy Ideals in Categories of Modules -- 1. Semilocal Rings -- 2. Rings and modules of finite type -- 3. Local functors and Jacobson radical -- 4. The canonical functor \Cal →\Cal /\Cal ₁×…×\Cal /\Cal _{ } -- 5. Semilocal Categories -- 6. Examples and applications -- 7. Birkhoff's Theorem for skeletally small preadditive categories and \Mod -- References -- Lie and Jordan Properties in Group Algebras -- 1. Basic Definitions -- 2. Lie Nilpotence -- 3. Unique Commutators and the LC Property -- 4. Jordan Nilpotence -- References -- Rad-Projective -Covers -- 1. Preliminaries -- 2. Rad-Projective -Covers -- 3. Rad- -Lifting Modules -- 4. 3- -Covers and - -Covers -- References -- On Lattices of Annihilators -- 1. Introduction -- 2. Around modularity -- 3. Main construction -- 4. Finite dimensional case -- References -- Clean Elements in Polynomial Rings -- Introduction -- 1. 2-primal coefficient ring -- 2. When ( [ ]) forms a subring of [ ] -- References -- On the Semiprime Smash Product Question -- 1. The question -- 2. Conditions on -- 3. Conditions on -- 4. Conclusion -- References -- Minimal Prime Ideals and Derivations -- References -- On Codes over Local Frobenius Non-Chain Rings of Order 16 -- 1. Introduction and Overview -- 2. Preliminaries -- 3. Local rings of order 16 -- 4. Codes Over Local Frobenius Rings of order 16 -- References -- On Quasi-Duo Rings.
505 8# - FORMATTED CONTENTS NOTE
Formatted contents note 1. Introduction and preliminaries -- 2. Some general results -- 3. One-sided ideals of quasi-duo rings -- 4. On quasi-duo skew polynomial rings and ℤ-graded rings -- References -- Isomorphism Invariants of Enveloping Algebras -- 1. Introduction -- 2. Preliminaries -- 3. Fox-type problems -- 4. Powers of the augmentation ideal -- 5. Low dimensional nilpotent Lie algebras -- 6. Positive characteristic and restricted Lie algebras -- 7. Other observations -- 8. Open Problems -- References -- Back Cover.
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 Noncommutative rings -- Congresses.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element Rings (Algebra) -- Congresses.
655 #4 - INDEX TERM--GENRE/FORM
Genre/form data or focus term Electronic books.
700 1# - ADDED ENTRY--PERSONAL NAME
Personal name Facchini, Alberto.
700 1# - ADDED ENTRY--PERSONAL NAME
Personal name Leroy, André.
700 1# - ADDED ENTRY--PERSONAL NAME
Personal name Sole, Patrick.
700 1# - ADDED ENTRY--PERSONAL NAME
Personal name Puczylowski, Edmund.
776 08 - ADDITIONAL PHYSICAL FORM ENTRY
Relationship information Print version:
Main entry heading Dougherty, Steven
Title Noncommutative Rings and Their Applications
Place, publisher, and date of publication Providence : American Mathematical Society,c2015
International Standard Book Number 9781470410322
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 Contemporary Mathematics
856 40 - ELECTRONIC LOCATION AND ACCESS
Uniform Resource Identifier <a href="https://ebookcentral.proquest.com/lib/orpp/detail.action?docID=3114331">https://ebookcentral.proquest.com/lib/orpp/detail.action?docID=3114331</a>
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