000			04446nam a22004933i 4500
001			EBC3114107
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005			20240729124600.0
006			m o d |
007			cr cnu||||||||
008			240724s2007 xx o ||||0 eng d
020			_a9781470404871 _q(electronic bk.)
020			_z9780821839966
035			_a(MiAaPQ)EBC3114107
035			_a(Au-PeEL)EBL3114107
035			_a(CaPaEBR)ebr11039726
035			_a(OCoLC)922981453
040			_aMiAaPQ _beng _erda _epn _cMiAaPQ _dMiAaPQ
050		4	_aQA251.3 -- .B46 2007eb
082	0		_a516.36
100	1		_aBeligiannis, Apostolos.
245	1	0	_aHomological and Homotopical Aspects of Torsion Theories.
250			_a1st ed.
264		1	_aProvidence : _bAmerican Mathematical Society, _c2007.
264		4	_c©2007.
300			_a1 online resource (224 pages)
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
490	1		_aMemoirs of the American Mathematical Society ; _vv.188
505	0		_aIntro -- Contents -- Introduction -- Chapter I. Torsion Pairs in Abelian and Triangulated Categories -- 1. Torsion Pairs in Abelian Categories -- 2. Torsion Pairs in Triangulated Categories -- 3. Tilting Torsion Pairs -- Chapter II. Torsion Pairs in Pretriangulated Categories -- 1. Pretriangulated Categories -- 2. Adjoints and Orthogonal Subcategories -- 3. Torsion Pairs -- 4. Torsion Pairs and Localization Sequences -- 5. Lifting Torsion Pairs -- Chapter III. Compactly Generated Torsion Pairs in Triangulated Categories -- 1. Torsion Pairs of Finite Type -- 2. Compactly Generated Torsion Pairs -- 3. The Heart of a Compactly Generated Torsion Pair -- 4. Torsion Pairs Induced by Tilting Objects -- Chapter IV. Hereditary Torsion Pairs in Triangulated Categories -- 1. Hereditary Torsion Pairs -- 2. Hereditary Torsion Pairs and Tilting -- 3. Connections with the Homological Conjectures -- 4. Concluding Remarks and Comments -- Chapter V. Torsion Pairs in Stable Categories -- 1. A Description of Torsion Pairs -- 2. Comparison of Subcategories -- 3. Torsion and Cotorsion pairs -- 4. Torsion Classes and Cohen-Macaulay Objects -- 5. Tilting Modules -- Chapter VI. Triangulated Torsion (-Free) Classes in Stable Categories -- 1. Triangulated Subcategories -- 2. Triangulated Torsion (-Free) Classes -- 3. Cotorsion Triples -- 4. Applications to Gorenstein Artin Algebras -- Chapter VII. Gorenstein Categories and ( Co) Torsion Pairs -- 1. Dimensions and Cotorsion Pairs -- 2. Gorenstein Categories, Cotorsion Pairs and Minimal Approximations -- 3. The Gorenstein Extension of a Cohen-Macaulay Category -- 4. Cohen-Macaulay Categories and ( Co) Torsion Pairs -- Chapter VIII. Torsion Pairs and Closed Model Structures -- 1. Preliminaries on Closed Model Categories -- 2. Closed Model Structures and Approximation Sequences.
505	8		_a3. Cotorsion Pairs Arising from Closed Model Structures -- 4. Closed Model Structures Arising from Cotorsion Pairs -- 5. A Classification of ( Co) Torsion Pairs -- Chapter IX. ( Co) Torsion Pairs and Generalized Tate-Vogel Cohomology -- 1. Hereditary Torsion Pairs and Homological Functors -- 2. Torsion Pairs and Generalized Tate-Vogel ( Co-) Homology -- 3. Relative Homology and Generalized Tate-Vogel ( Co) Homology -- 4. Cotorsion Triples and Complete Cohomology Theories -- Chapter X. Nakayama Categories and Cohen-Macaulay Cohomology -- 1. Nakayama Categories and Cohen-Macaulay Objects -- 2. ( Co) Torsion Pairs Induced by ( Co) Cohen-Macaulay Objects -- 3. Cohen-Macaulay Cohomology -- Bibliography -- Index.
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	_aTorsion theory (Algebra).
650		0	_aAlgebra, Homological.
650		0	_aHomotopy theory.
655		4	_aElectronic books.
700	1		_aReiten, Idun.
776	0	8	_iPrint version: _aBeligiannis, Apostolos _tHomological and Homotopical Aspects of Torsion Theories _dProvidence : American Mathematical Society,c2007 _z9780821839966
797	2		_aProQuest (Firm)
830		0	_aMemoirs of the American Mathematical Society
856	4	0	_uhttps://ebookcentral.proquest.com/lib/orpp/detail.action?docID=3114107 _zClick to View
999			_c69638 _d69638