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100 1  Goodearl, K. R.|0https://id.loc.gov/authorities/names/
       n80063048 
245 13 An introduction to noncommutative Noetherian rings /|cK.R.
       Goodearl, R.B. Warfield, Jr. 
250    2nd ed. 
264  1 Cambridge, U.K. ;|aNew York :|bCambridge University Press,
       |c2004. 
300    1 online resource (xxiv, 344 pages). 
336    text|btxt|2rdacontent 
337    computer|bc|2rdamedia 
338    online resource|bcr|2rdacarrier 
340    |gpolychrome|2rdacc 
347    data file|2rda 
490 1  London Mathematical Society student texts ;|v61 
504    Includes bibliographical references (pages 328-337) and 
       index. 
505 0  Cover -- Series-title -- Title -- Copyright -- Contents --
       Introduction to the Second Edition -- Introduction to the 
       First Edition -- Prologue -- POLYNOMIAL IDENTITY RINGS -- 
       GROUP ALGEBRAS -- RINGS OF DIFFERENTIAL OPERATORS -- 
       ENVELOPING ALGEBRAS -- QUANTUM GROUPS -- NOTATION AND 
       TERMINOLOGY -- 1. A Few Noetherian Rings -- THE NOETHERIAN
       CONDITION -- FORMAL TRIANGULAR MATRIX RINGS -- THE HILBERT
       BASIS THEOREM -- SKEW POLYNOMIAL RINGS TWISTED BY 
       AUTOMORPHISMS -- SKEW-LAURENT RINGS -- SIMPLICITY IN SKEW-
       LAURENT RINGS -- ADDITIONAL EXERCISES. 
505 8  NOTES -- 2. Skew Polynomial Rings -- FORMAL DIFFERENTIAL 
       OPERATOR RINGS -- WEYL ALGEBRAS -- GENERAL SKEW POLYNOMIAL
       RINGS -- A GENERAL SKEW HILBERT BASIS THEOREM -- SOME 
       EXAMPLES -- ADDITIONAL EXERCISES -- NOTES -- 3. Prime 
       Ideals -- PRIME IDEALS -- SEMIPRIME IDEALS AND NILPOTENCE 
       -- ANNIHILATORS AND ASSOCIATED PRIME IDEALS -- SOME 
       EXAMPLES FROM REPRESENTATION THEORY -- PRIMITIVE AND 
       SEMIPRIMITIVE IDEALS -- PRIME IDEALS IN DIFFERENTIAL 
       OPERATOR RINGS -- ADDITIONAL EXERCISES -- NOTES. 
505 8  4. Semisimple Modules, Artinian Modules, and Torsionfree 
       Modules -- SEMISIMPLE MODULES -- SEMISIMPLE RINGS -- 
       ARTINIAN MODULES -- ARTINIAN RINGS -- TORSION AND 
       TORSIONFREE MODULES -- NOTES -- 5. Injective Hulls -- 
       INJECTIVE MODULES -- ESSENTIAL EXTENSIONS -- INJECTIVE 
       HULLS -- MODULES OF FINITE RANK -- UNIFORM RANK -- DIRECT 
       SUMS OF INJECTIVE MODULES -- ASSASSINATOR PRIMES -- 
       ADDITIONAL EXERCISES -- NOTES -- 6. Semisimple Rings of 
       Fractions -- RINGS OF FRACTIONS -- DIVISION RINGS OF 
       FRACTIONS -- GOLDIE'S THEOREM. 
505 8  NIL SUBSETS -- ADDITIONAL EXERCISES -- NOTES -- 7. Modules
       over Semiprime Goldie Rings -- MINIMAL PRIME IDEALS -- 
       TORSION -- TORSIONFREE INJECTIVE MODULES -- TORSIONFREE 
       UNIFORM MODULES -- TORSIONFREE MODULES OVER PRIME GOLDIE 
       RINGS -- NOTES -- 8. Bimodules and A.liated Prime Ideals -
       - NOETHERIAN BIMODULES -- AFFILIATED PRIME IDEALS -- 
       ARTINIAN BIMODULES -- PRIME IDEALS IN FINITE RING 
       EXTENSIONS -- BIMODULE COMPOSITION SERIES -- ADDITIVITY 
       PRINCIPLES -- NORMALIZING EXTENSIONS -- NOTES -- 9. Fully 
       Bounded Rings -- BOUNDEDNESS. 
505 8  EMBEDDING MODULES INTO FACTOR RINGS -- ARTINIAN MODULES --
       UNIFORM INJECTIVE MODULES -- NOTES -- 10. Rings and 
       Modules of Fractions -- RINGS OF FRACTIONS -- MODULES OF 
       FRACTIONS -- SUBMODULES OF MODULES OF FRACTIONS -- IDEALS 
       IN RINGS OF FRACTIONS -- PRIME IDEALS IN ITERATED 
       DIFFERENTIAL OPERATOR RINGS -- ADDITIONAL EXERCISES -- 
       NOTES -- 11. Artinian Quotient Rings -- REDUCED RANK -- 
       APPLICATIONS OF REDUCED RANK TO FINITE RING EXTENSIONS -- 
       SMALL'S THEOREM -- AFFILIATED PRIME IDEALS -- AFFILIATED 
       PRIME IDEALS -- NOTES. 
520    This 2004 introduction to noncommutative noetherian rings 
       is intended to be accessible to anyone with a basic 
       background in abstract algebra. It can be used as a second
       -year graduate text, or as a self-contained reference. 
       Extensive explanatory discussion is given, and exercises 
       are integrated throughout. Various important settings, 
       such as group algebras, Lie algebras, and quantum groups, 
       are sketched at the outset to describe typical problems 
       and provide motivation. The text then develops and 
       illustrates the standard ingredients of the theory: e.g., 
       skew polynomial rings, rings of fractions, bimodules, 
       Krull dimension, linked prime ideals. Recurring emphasis 
       is placed on prime ideals, which play a central role in 
       applications to representation theory. This edition 
       incorporates substantial revisions, particularly in the 
       first third of the book, where the presentation has been 
       changed to increase accessibility and topicality. Material
       includes the basic types of quantum groups, which then 
       serve as test cases for the theory developed. 
588 0  Print version record. 
590    eBooks on EBSCOhost|bEBSCO eBook Subscription Academic 
       Collection - North America 
650  0 Noetherian rings.|0https://id.loc.gov/authorities/subjects
       /sh85092171 
650  0 Noncommutative rings.|0https://id.loc.gov/authorities/
       subjects/sh85092242 
650  7 Noetherian rings.|2fast|0https://id.worldcat.org/fast/
       1038341 
650  7 Noncommutative rings.|2fast|0https://id.worldcat.org/fast/
       1038610 
655  4 Electronic books. 
655  7 Electronic books.|2lcgft 
700 1  Warfield, Robert B.,|d1940-|0https://id.loc.gov/
       authorities/names/n88157165 
776 08 |iPrint version:|aGoodearl, K.R.|tIntroduction to 
       noncommutative Noetherian rings.|b2nd ed.|dCambridge, U.K.
       ; New York : Cambridge University Press, 2004|z0521836875
       |w(DLC)  2003065357|w(OCoLC)53231332 
830  0 London Mathematical Society student texts ;|0https://
       id.loc.gov/authorities/names/n84727069|v61. 
856 40 |uhttps://rider.idm.oclc.org/login?url=http://
       search.ebscohost.com/login.aspx?direct=true&scope=site&
       db=nlebk&AN=164378|zOnline eBook via EBSCO. Access 
       restricted to current Rider University students, faculty, 
       and staff. 
856 42 |3Instructions for reading/downloading the EBSCO version 
       of this eBook|uhttp://guides.rider.edu/ebooks/ebsco 
901    MARCIVE 20231220 
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       |lridw 
994    92|bRID