Categories of lattices, and their global structure in terms of almost split sequences
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
Categories of lattices, and their global structure in terms of almost split sequences
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| Creator |
Rump, W.
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| Description |
A major part of Iyama’s characterization of Auslander-Reiten quivers of representation-finite orders Λ consists of an induction via rejective subcategories of Λ-lattices, which amounts to a resolution of Λ as an isolated singularity. Despite of its useful applications (proof of Solomon’s second conjecture and the finiteness of representation dimension of any artinian algebra), rejective induction cannot be generalized to higher dimensional Cohen-Macaulay orders Λ. Our previous characterization of finite Auslander-Reiten quivers of Λ in terms of additive functions [22] was proved by means of L-functors, but we still had to rely on rejective induction. In the present article, this dependence will be eliminated. |
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| Date |
2019-06-17T15:48:26Z
2019-06-17T15:48:26Z 2004 |
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| Type |
Article
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| Identifier |
Categories of lattices, and their global structure in terms of almost split sequences / W. Rump // Algebra and Discrete Mathematics. — 2004. — Vol. 3, № 1. — С. 87–111. — Бібліогр.: 30 назв. — англ.
1726-3255 2000 Mathematics Subject Classification: 16G30, 16G70, 18E10; 16G60. http://dspace.nbuv.gov.ua/handle/123456789/155952 |
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| Language |
en
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| Relation |
Algebra and Discrete Mathematics
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| Publisher |
Інститут прикладної математики і механіки НАН України
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