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101 0 $aeng
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181   $ctxt
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183   $acr
200 10$aTwo-dimensional tame and maximal orders of finite representation type /$fIdun Reiten and Michel Van den Bergh
210  1$aProvidence, Rhode Island, United States :$cAmerican Mathematical Society,$d1989.
210  4$dİ1989
215   $a1 online resource (85 p.)
225 1 $aMemoirs of the American Mathematical Society,$x0065-9266 ;$vVolume 80, Number 408
300   $a"July 1989, Volume 80, Number 408 (fourth of 5 numbers)"--Cover.
311   $a0-8218-2469-4 
320   $aIncludes bibliographical references.
327   $a""TABLE OF CONTENTS""; ""INTRODUCTION""; ""1. TAME AND MAXIMAL ORDERS AND THEIR GROTHENDIECK GROUPS""; ""1.1 Orders""; ""1.2 Reflexive Morita equivalence""; ""1.3 Grothendieck group of tame and maximal orders""; ""2. THE ASSOCIATED GRADED ORDERS""; ""2.1 The shape of the Auslander-Reiten quivers""; ""2.2 The associated graded algebras""; ""2.3 The isomorphism classes of the path algebras with quadratic relations""; ""2.4 Properties of the path algebras with quadratic relations and their completions""; ""2.5 The classification for gr I??""; ""2.6 k[[x[sub(1)],x[sub(2)]]]-algebras""
327   $a""2.7 General comments on existence of almost split sequences""""3. THE LATTICE OF OVERLYING ORDERS""; ""3.1 The Grothendieck group of a translation quiver""; ""3.2 Admissible sets and zero sets""; ""3.3 Zero sets of tame orders""; ""3.4 When are I?? and End [sub(I??)] (M) reflexive Morita equivalent?""; ""3.5 AR-quivers for overorders""; ""3.6 Relationship between K[sub(0)](mod[sub(1)] I??) and K[sub(0)](mod I??)""; ""4. MAXIMAL ORDERS OF FINITE REPRESENTATION TYPE""; ""4.1 The method""; ""4.2 The universal covering of I?? is ZD[sub(n)]""; ""4.3 The universal covering is ZE[sub(i)]""
410  0$aMemoirs of the American Mathematical Society ;$vVolume 80, Number 408.
606   $aAssociative algebras
606   $aRepresentations of algebras
606   $aGrothendieck groups
615  0$aAssociative algebras.
615  0$aRepresentations of algebras.
615  0$aGrothendieck groups.
676   $a512/.24
700   $aReiten$b Idun$f1942-$055368
702   $aBergh$b M. van den
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910788872003321
996   $aTwo-dimensional tame and maximal orders of finite representation type$93705591
997   $aUNINA