000			03294nam a22004813i 4500
001			EBC3113966
003			MiAaPQ
005			20240729124556.0
006			m o d |
007			cr cnu||||||||
008			240724s1989 xx o ||||0 eng d
020			_a9781470408312 _q(electronic bk.)
020			_z9780821824696
035			_a(MiAaPQ)EBC3113966
035			_a(Au-PeEL)EBL3113966
035			_a(CaPaEBR)ebr10918919
035			_a(OCoLC)891385166
040			_aMiAaPQ _beng _erda _epn _cMiAaPQ _dMiAaPQ
050		4	_aQA3 -- .R458 1989eb
082	0		_a512/.24
100	1		_aReiten, Idun.
245	1	0	_aTwo-Dimensional Tame and Maximal Orders of Finite Representation Type.
250			_a1st ed.
264		1	_aProvidence : _bAmerican Mathematical Society, _c1989.
264		4	_c©1989.
300			_a1 online resource (85 pages)
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
490	1		_aMemoirs of the American Mathematical Society ; _vv.80
505	0		_aIntro -- 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 Λ -- 2.6 k[[x[sub(1)],x[sub(2)]]]-algebras -- 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 Λ and End [sub(Λ)] (M) reflexive Morita equivalent? -- 3.5 AR-quivers for overorders -- 3.6 Relationship between K[sub(0)](mod[sub(1)] Λ) and K[sub(0)](mod Λ) -- 4. MAXIMAL ORDERS OF FINITE REPRESENTATION TYPE -- 4.1 The method -- 4.2 The universal covering of Γ is ZD[sub(n)] -- 4.3 The universal covering is ZE[sub(i)] -- 4.4 The universal covering is ZA[sup(∞)][sub(∞)] -- 4.5 Noncommutative maximal orders -- 5. PASSING FROM THE GRADED TO THE COMPLETE CASE -- 5.1 Graded methods -- 5.2 Reflexive Galois extensions -- 5.3 Interpretation as skew group ring -- REFERENCES.
588			_aDescription based on publisher supplied metadata and other sources.
590			_aElectronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2024. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.
650		0	_aAssociative algebras.
650		0	_aRepresentations of algebras.
650		0	_aGrothendieck groups.
655		4	_aElectronic books.
700	1		_aBergh, Michel Van Den.
776	0	8	_iPrint version: _aReiten, Idun _tTwo-Dimensional Tame and Maximal Orders of Finite Representation Type _dProvidence : American Mathematical Society,c1989 _z9780821824696
797	2		_aProQuest (Firm)
830		0	_aMemoirs of the American Mathematical Society
856	4	0	_uhttps://ebookcentral.proquest.com/lib/orpp/detail.action?docID=3113966 _zClick to View
999			_c69497 _d69497