Facchini Alberto (185 results)
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Paperback or Softback. Condition: New. New Perspectives in Algebra, Topology and Categories: Summer School, Louvain-La-Neuve, Belgium, September 12-15, 2018 and September 11-14, 2019. Book.
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Hardcover. Ex-library with stamp and library-signature. GOOD condition, some traces of use. Ancien Exemplaire de bibliothèque avec signature et cachet. BON état, quelques traces d'usure. Ehem. Bibliotheksexemplar mit Signatur und Stempel. GUTER Zustand, ein paar Gebrauchsspuren. 16 FAC 9780817659080 Sprache: Englisch Gewicht in…Gramm: 1150.
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Hardcover. Condition: Sehr gut. Basel, Birkhäuser (1998). gr.8°. XIII, 285 p. Hardbound. (back slightly faded, otherwise in very good condition).- Progress in Mathematics, 167.-.
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Condition: New. 1st ed. 2021 edition NO-PA16APR2015-KAP.
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Paperback. Condition: New. Thisexpositorymonographwaswrittenforthreereasons. Firstly,wewantedto present the solution to a problem posed by Wolfgang Krull in 1932 [Krull 32]. He asked whether what we now call the "Krull-SchmidtTheorem" holds for - tinianmodules. Theproblemremainedopenfor63years:itssolution,anegative answer to Kru…ll'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 War?eld in 1975 [War?eld 75]. He proved that every ?nitely p- sented module over a serial ring is a direct sum of uniserial modules, and asked if such a decomposition was unique. In other words, War?eld asked whether the "Krull-Schmidt Theorem" holds for serial modules. The solution to this problem, a negative answer again, appeared in [Facchini 96]. Thirdly, the - lution to War?eld's problem shows interesting behavior, a rare phenomenon in the history of Krull-Schmidt type theorems. Essentially, the Krull-Schmidt Theorem holds for some classes of modules and not for others.When it does hold, any two indecomposable decompositions are uniquely determined up to a permutation, and when it does not hold for a class of modules, this is proved via an example. For serial modules the Krull-Schmidt Theorem does not hold, but any two indecomposable decompositions are uniquely determined up to two permutations. We wanted to present such a phenomenon to a wider ma- ematical audience.
- Hardcover
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Hardcover. Condition: Sehr gut. Proceedings of the Padova Conference, Padova, Italy, June 23 - July 1, 1994. Dordrecht, Kluwer (1995). gr.8°. XX, 517 p. Hardbound. (corners slightly bumped, otherwise in very good condition).- Mathematics and its Applications, 343.- Dedicated to Lazslo Fuchs on his 70th Birthday.
New Perspectives in Algebra, Topology and Categories : Summer School, Louvain-la-neuve, Belgium, September 12-15, 2018 and September 11-14, 2019
Clementino, Maria Manuel (EDT); Facchini, Alberto (EDT); Gran, Marino (EDT)
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New Perspectives in Algebra, Topology and Categories: Summer School, Louvain-la-Neuve, Belgium, September 12-15, 2018 and September 11-14, 2019 (Coimbra Mathematical Texts, 1)
Clementino, Maria Manuel (Editor) / Facchini, Alberto (Editor) / Gran, Marino (Editor)
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