LEADER 03574nam 22005895 450 001 996418188903316 005 20210419112904.0 010 $a3-030-35118-1 024 7 $a10.1007/978-3-030-35118-2 035 $a(CKB)4920000000496058 035 $a(DE-He213)978-3-030-35118-2 035 $a(MiAaPQ)EBC6157923 035 $a(PPN)243758405 035 $a(EXLCZ)994920000000496058 100 $a20210419h2020 uy 0 101 0 $aeng 135 $aurnn#008mamaa 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aBasic Representation Theory of Algebras$b[electronic resource] /$fby Ibrahim Assem, Flįvio U. Coelho 205 $a1st ed. 2020. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2020. 215 $a1 online resource (X, 311 p. 288 illus.) 225 1 $aGraduate Texts in Mathematics,$x0072-5285 ;$v283 311 $a3-030-35117-3 320 $aIncludes bibliographical references and index. 327 $aIntroduction -- Chapter 1: Modules, algebras and quivers -- Chapter 2: The radical and almost split sequences -- Chapter 3: Constructing almost split sequences -- Chapter 4: The Auslander?Reiten quiver of an algebra -- Chapter 5: Endomorphism algebras -- Chapter 6: Representation-finite algebras -- Bibliography -- Index. 330 $aThis textbook introduces the representation theory of algebras by focusing on two of its most important aspects: the Auslander-Reiten theory and the study of the radical of a module category. It starts by introducing and describing several characterisations of the radical of a module category, then presents the central concepts of irreducible morphisms and almost split sequences, before providing the definition of the Auslander-Reiten quiver, which encodes much of the information on the module category. It then turns to the study of endomorphism algebras, leading on one hand to the definition of the Auslander algebra and on the other to tilting theory. The book ends with selected properties of representation-finite algebras, which are now the best understood class of algebras. Intended for graduate students in representation theory, this book is also of interest to any mathematician wanting to learn the fundamentals of this rapidly growing field. A graduate course in non-commutative or homological algebra, which is standard in most universities, is a prerequisite for readers of this book. 410 0$aGraduate Texts in Mathematics,$x0072-5285 ;$v283 606 $aAssociative rings 606 $aRings (Algebra) 606 $aCategory theory (Mathematics) 606 $aHomological algebra 606 $aAssociative Rings and Algebras$3https://scigraph.springernature.com/ontologies/product-market-codes/M11027 606 $aCategory Theory, Homological Algebra$3https://scigraph.springernature.com/ontologies/product-market-codes/M11035 615 0$aAssociative rings. 615 0$aRings (Algebra). 615 0$aCategory theory (Mathematics). 615 0$aHomological algebra. 615 14$aAssociative Rings and Algebras. 615 24$aCategory Theory, Homological Algebra. 676 $a512.9 700 $aAssem$b Ibrahim$4aut$4http://id.loc.gov/vocabulary/relators/aut$01020549 702 $aCoelho$b Flįvio U$4aut$4http://id.loc.gov/vocabulary/relators/aut 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a996418188903316 996 $aBasic Representation Theory of Algebras$92413546 997 $aUNISA LEADER 01253cam2 22002771 450 001 SOBE00038393 005 20240516070019.0 010 $a978881305635 100 $a20131211d2010 |||||ita|0103 ba 101 $aita 102 $aIT 200 1 $a<<3: Gli >>atti unilaterali e i titoli di credito, i fatti illeciti e gli altri fatti, fonte di obbligazioni, la tutela del credito, l'impresa$fFrancesco Galgano 205 $a2.edizione accresciuta 210 $aPadova$cCEDAM$d2010 215 $aXIII, 822 p.$d25 cm 461 1$1001SOBE00038388$12001 $aTrattato di diritto civile / Francesco Galgano 700 1$aGalgano$b, Francesco$3AF00004046$4070$0267658 801 0$aIT$bUNISOB$c20240516$gRICA 850 $aUNISOB 852 $aUNISOB$jGiurisprudenza|A|S$m162900 912 $aSOBE00038393 940 $aM 102 Monografia moderna SBN 941 $aM 957 $aGiurisprudenza|A|S$b000114$i-3$fconsultabile nell'aula studio della Facoltą di Giurisprudenza$gCON$d162900$hGiurisprudenzaAS$racquisto$1catenacci$2UNISOB$3UNISOB$420131211110637.0$520150120095145.0$6catenacci 996 $aAtti unilaterali e i titoli di credito, i fatti illeciti e gli altri fatti, fonte di obbligazioni, la tutela del credito, l'impresa$9768425 997 $aUNISOB