摘要: 用图表示范畴的两个子范畴rep ≤
1 ( Q , I) 和rep ≤
2 ( Q , I) 及其性质,刻划了拟遗传代数的好模范畴,余好模范畴
及特征模. 主要结论给出了A ∈rep ≤
1 ( Q , I) 及F(Δ) = rep ≤
1 ( Q , I) 的刻划及其对偶结论.
Abstract : Using two kinds of subcategories of the categories of representation of quivers , rep ≤
1 ( Q , I) and rep ≤
2 ( Q , I) ,
and their properties , we discuss some properties of the category of good modules , the category of cogood modules , and the
characteristic module of A ∈rep ≤
1 ( Q , I) quasi2hereditary algebra. As the main result , we give the characterization of A
∈rep ≤
1 ( Q , I) and F(Δ) = rep ≤
1 ( Q , I) and their dual results.国家自然科学基金资助项目(10071062) ,福建省教育厅科研基金资助项目(JB00201