000			04061nam a22004573i 4500
001			EBC3050897
003			MiAaPQ
005			20240729124409.0
006			m o d |
007			cr cnu||||||||
008			240724s2009 xx o ||||0 eng d
020			_a9789814287258 _q(electronic bk.)
020			_z9789814287241
035			_a(MiAaPQ)EBC3050897
035			_a(Au-PeEL)EBL3050897
035			_a(CaPaEBR)ebr10422335
035			_a(CaONFJC)MIL276146
035			_a(OCoLC)612404492
040			_aMiAaPQ _beng _erda _epn _cMiAaPQ _dMiAaPQ
050		4	_aQA251.3 -- .B325 2009eb
082	0		_a512
100	1		_aBaba, Yoshitomo.
245	1	0	_aClassical Artinian Rings And Related Topics.
250			_a1st ed.
264		1	_aSingapore : _bWorld Scientific Publishing Company, _c2009.
264		4	_c©2009.
300			_a1 online resource (310 pages)
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
505	0		_aIntro -- Contents -- Preface -- List of Symbols -- 1. Preliminaries -- 1.1 Background Sketch -- 1.2 Semiperfect Rings and Perfect Rings -- 1.3 Frobenius Algebras, and Nakayama Permutations and Nakayama Automorphisms of QF-Rings -- 1.4 Notation in Matrix Representations of Rings -- COMMENTS -- 2. A Theorem of Fuller -- 2.1 Improved Versions of Fuller's Theorem -- 2.2 M-Simple-Injective and Quasi-Simple-Injective Modules -- 2.3 Simple-Injectivity and the Condition r[e, g, f] -- 2.4 ACC on Right Annihilator Ideals and the Condition r[e, g, f] -- 2.5 Injectivity and Composition Length -- COMMENTS -- 3. Harada Rings -- 3.1 Definition of Harada Rings -- 3.2 A Dual Property of Harada Rings -- 3.3 The Relationships between Harada Rings and Co-Harada Rings -- COMMENTS -- 4. The Structure Theory of Left Harada Rings -- 4.1 Left Harada Rings of Types (]) and (¤) -- 4.2 A Construction of Left Harada Rings as Upper Staircase Factor Rings of Block Extensions of QF-Rings -- 4.3 The Representation of Left Harada Rings as Upper Staircase Factor Rings of Block Extensions of QF-Rings -- COMMENTS -- 5. Self-Duality of Left Harada Rings -- 5.1 Nakayama Isomorphisms, Weakly Symmetric Left H-Rings and Almost Self-Duality -- 5.2 Self-Duality and Almost Self-Duality of Left Harada Rings -- 5.3 Koike's Example of a QF-Ring without a Nakayama Automorphism -- 5.4 Factor Rings of QF-Rings with a Nakayama Automorphism -- COMMENTS -- 6. Skew Matrix Rings -- 6.1 Definition of a Skew Matrix Ring -- 6.2 Nakayama Permutations vs Given Permutations -- 6.3 QF-Rings with a Cyclic Nakayama Permutation -- 6.4 Strongly QF-Rings -- 6.5 Block Extensions of Skew Matrix Rings -- COMMENTS -- 7. The Structure of Nakayama Rings -- 7.1 Kupisch Series and Kupisch Well-Indexed Set via Left HRings -- 7.2 Nakayama QF-Rings -- 7.3 A Classification of Nakayama Rings.
505	8		_a7.4 An Example of a Nakayama QF-Ring of KNP(1 ! 1)-Type -- 7.5 The Self-Duality of Nakayama Rings -- COMMENTS -- 8. Modules over Nakayama Rings -- 8.1 Characterizations of Nakayama Rings by Lifting and Extending Properties -- COMMENTS -- 9. Nakayama Algebras -- 9.1 Nakayama Algebras over Algebraically Closed Fields -- 9.2 Nakayama Group Algebras -- COMMENTS -- 10. Local QF-rings -- 10.1 Local QF-rings -- 10.2 Examples of Local QF-Rings with Radical Cubed Zero -- COMMENTS -- Open Questions -- 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	_aArtin rings.
655		4	_aElectronic books.
700	1		_aOshiro, Kiyoichi.
776	0	8	_iPrint version: _aBaba, Yoshitomo _tClassical Artinian Rings And Related Topics _dSingapore : World Scientific Publishing Company,c2009 _z9789814287241
797	2		_aProQuest (Firm)
856	4	0	_uhttps://ebookcentral.proquest.com/lib/orpp/detail.action?docID=3050897 _zClick to View
999			_c65824 _d65824