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A Modular Representation of K-root-and Jacobson Structure Theorems for Additive Categories
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作者 高振林 《Chinese Quarterly Journal of Mathematics》 CSCD 1992年第3期53-57,共5页
In this paper,we give definition and moduler representation of Kothe root for additive cate gories.Using these results,get inner representation of J-root and fully homomorph class of Jscmisimple additive categories.
关键词 Kothe radical of additive categories primitive additive categories the kinds of com plate homomorphs
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Representation theory of Dynkin quivers. Three contributions
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作者 Claus Michael RINGEL 《Frontiers of Mathematics in China》 SCIE CSCD 2016年第4期765-814,共50页
The representations of the Dynkin quivers and the corresponding Euclidean quivers are treated in many books. These notes provide three building blocks for dealing with representations of Dynkin (and Euclidean) quive... The representations of the Dynkin quivers and the corresponding Euclidean quivers are treated in many books. These notes provide three building blocks for dealing with representations of Dynkin (and Euclidean) quivers. They should be helpful as part of a direct approach to study representations of quivers, and they shed some new light on properties of Dynkin and Euclidean quivers. 展开更多
关键词 QUIVER Dynkin quiver Euclidean quiver the exceptional vertices of a Dynkin quiver representations of quivers thin representations filtrations of vector spaces conical representations of star quivers Auslander- Reiten quiver thick subcategories perpendicular subcategories one-point extension antichains of a poset antichains of an additive category simplifi- cation hammocks the 2-4-8 property the magic Freudenthal-Tits square
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