منابع مشابه
Higher dimensional Auslander-Reiten theory on maximal orthogonal subcategories
We introduce the concept of maximal orthogonal subcategories over artin algebras and orders, and develop higher Auslander-Reiten theory on them. Auslander-Reiten theory, especially the concept of almost split sequences and their existence theorem, is fundamental to study categories which appear in representation theory, for example, modules over artin algebras [ARS][GR][Ri], their functorially ...
متن کاملOn Extremal Maximal Self-orthogonal Codes of Type I-iv
For a Type T ∈ {I, II, III, IV} and length N where there exists no self-dual Type T code of length N , upper bounds on the minimum weight of the dual code of a self-orthogonal Type T code of length N are given, allowing the notion of dual extremal codes. It is proven that the Hamming weight enumerator of a dual extremal maximal self-orthogonal code of a given length is unique.
متن کاملSmooth functions on c0
The space c0 lies at the heart of many constructions of higher order smooth functions on Banach spaces. To name a few, recall Torunczyk’s proof of the existence of C-smooth partitions of unity on WCG spaces ([12]) or Haydon’s recent constructions of C-bump functions on certain C(K) spaces ([7]). The crucial property of c0 that allows for those constructions is a rich supply of C -smooth functio...
متن کاملHigher Auslander-Reiten theory on maximal orthogonal subcategories
We introduce the concept of maximal orthogonal subcategories over artin algebras and orders, and develop higher Auslander-Reiten theory on them. Auslander-Reiten theory, especially the concept of almost split sequences and their existence theorem, is fundamental to study categories which appear in representation theory, for example, modules over artin algebras [ARS][GR][Ri], their functorially ...
متن کاملThe existence of maximal n-orthogonal subcategories
Article history: Received 30 April 2008 Available online 6 March 2009 Communicated by Luchezar L. Avramov
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ژورنال
عنوان ژورنال: Bulletin of the Belgian Mathematical Society - Simon Stevin
سال: 2007
ISSN: 1370-1444
DOI: 10.36045/bbms/1197908906