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Module Theory
Alberto Facchini
€ 123.94
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Description for Module Theory
Hardback. Addresses various topics in module theory and ring theory, some considered classical (such as Goldie dimension, semiperfect rings, Krull dimension, rings of quotients, and their applications) and others specialized (such as dual Goldie dimension, semilocal endomorphism rings, serial rings and modules, exchange property, -pure-injective modules). Series: Progress in Mathematics. Num Pages: 288 pages, biography. BIC Classification: PBF. Category: (P) Professional & Vocational; (UP) Postgraduate, Research & Scholarly; (UU) Undergraduate. Dimension: 235 x 155 x 19. Weight in Grams: 660.
This expository monograph was written for three reasons. Firstly, we wanted to present the solution to a problem posed by Wolfgang Krull in 1932 [Krull 32]. He asked whether what we now call the "Krull-Schmidt Theorem" holds for ar tinian modules. The problem remained open for 63 years: its solution, a negative answer to Krull's question, was published only in 1995 (see [Facchini, Herbera, Levy and Vamos]). Secondly, we wanted to present the answer to a question posed by Warfield in 1975 [Warfield 75]. He proved that every finitely pre sented module over a serial ring is a direct sum ... Read more
This expository monograph was written for three reasons. Firstly, we wanted to present the solution to a problem posed by Wolfgang Krull in 1932 [Krull 32]. He asked whether what we now call the "Krull-Schmidt Theorem" holds for ar tinian modules. The problem remained open for 63 years: its solution, a negative answer to Krull's question, was published only in 1995 (see [Facchini, Herbera, Levy and Vamos]). Secondly, we wanted to present the answer to a question posed by Warfield in 1975 [Warfield 75]. He proved that every finitely pre sented module over a serial ring is a direct sum ... Read more
Product Details
Format
Hardback
Publication date
1998
Publisher
Birkhauser Verlag AG Switzerland
Number of pages
288
Condition
New
Series
Progress in Mathematics
Number of Pages
288
Place of Publication
Basel, Switzerland
ISBN
9783764359089
SKU
V9783764359089
Shipping Time
Usually ships in 15 to 20 working days
Ref
99-15
Reviews for Module Theory
"Written in an attractive and fresh mathematical style. Each topic is arranged well and lucidly. The author has made important contributions to the study of direct sum decompositions and many of the main results in this book include his own work."
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