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130706t20121998sz ob 001 0 eng d |
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20260422201347.7 |
| 020 |
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|a 9783034803038 (electronic bk.)
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|a 3034803036 (electronic bk.)
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|z 9783034803021
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| 035 |
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|a (OCoLC)851971810
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| 040 |
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|a EBLCP
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|e rda
|e pn
|c EBLCP
|d OCLCO
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|d OCLCQ
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|a TXAM
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|a QA247.3 .F33 2012
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|a 512.4
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| 100 |
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|a Facchini, Alberto,
|e author.
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| 245 |
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|a Module theory :
|b endomorphism rings and direct sum decompositions in some classes of modules /
|c Alberto Facchini.
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| 264 |
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|a Basel :
|b Springer,
|c [2012]
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| 264 |
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|c ©1998
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| 300 |
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|a 1 online resource (xiii, 285 pages)
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| 336 |
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|a text
|b txt
|2 rdacontent
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|a computer
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|2 rdamedia
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|a online resource
|b cr
|2 rdacarrier
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|a Modern Birkhäuser classics
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| 520 |
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|a The purpose of this expository monograph is three-fold. First, the solution of a problem posed by Wolfgang Krull in 1932 is presented. He asked whether what is now called the 'Krull-Schmidt Theorem' holds for artinian modules. A negative answer was published only in 1995 by Facchini, Herbera, Levy and Vámos. Second, the answer to a question posed by Warfield in 1975, namely, whether the Krull-Schmidt-Theorem holds for serial modules, is described. Facchini published a negative answer in 1996.
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|a Basic concepts -- The Krull-Schmidt-Remak-Azumaya Theorem -- Semiperfect rings -- Semilocal rings -- Serial rings -- Quotient rings -- Krull dimension and serial rings -- Krull-Schmidt fails for finitely generated modules and Artinian modules -- Biuniform modules -- [Sigma]-pure-injective modules and Artinian modules -- Open problems.
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|a Description based on print version record.
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|a Modules (Algebra)
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| 650 |
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|a Endomorphism rings.
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| 650 |
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|a Direct sum decompositions.
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| 650 |
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|a Mathematics.
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| 650 |
|
7 |
|a Direct sum decompositions.
|2 fast
|0 (OCoLC)fst01740205
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| 650 |
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7 |
|a Endomorphism rings.
|2 fast
|0 (OCoLC)fst00909787
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| 650 |
|
7 |
|a Mathematics.
|2 fast
|0 (OCoLC)fst01012163
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| 650 |
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7 |
|a Modules (Algebra)
|2 fast
|0 (OCoLC)fst01024523
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| 655 |
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|a Electronic books.
|2 local
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| 710 |
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|a SpringerLink (Online service)
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| 776 |
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|i Print version:
|a Facchini, Alberto.
|t Module Theory : Endomorphism rings and direct sum decompositions in some classes of modules.
|d Dordrecht : Springer, ©2012
|z 9783034803021
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| 830 |
|
0 |
|a Modern Birkhäuser classics.
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| 856 |
4 |
0 |
|u http://proxy.library.tamu.edu/login?url=https://link.springer.com/10.1007/978-3-0348-0303-8
|z Connect to the full text of this electronic book
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f |
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|a Texas A&M University
|b College Station
|c Electronic Resources
|s www_evans
|d Available Online
|t 0
|e QA247.3 .F33 2012
|h Library of Congress classification
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| 998 |
f |
f |
|a QA247.3 .F33 2012
|t 0
|l Available Online
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