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Morita-Takeuchi关系余代数上不可分解内射余模 被引量:2

Indecomposable Injective Comodules Over Morita-Takeuchi Context Coalgebras
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摘要 为了研究Morita-Takeuchi关系余代数上的不可分解内射余模结构,基于Morita关系代数上的不可分解投射模和不可分解内射模结构,运用对偶方法和余模范畴等价,得到了Morita-Takeuchi关系余代数上的不可分解内射余模结构,进而得到Morita-Takeuchi关系余代数的整体维数的上、下界. Based on the structure of indecomposable projective and injective modules over Morita context algebras and by using the duality and the equivalence of comodule categories,the structure of indecomposable injective comodules over Morita-Takeuchi context coalgebras was described.Furthermore,the lower and upper bounds of global dimensions of these coalgebras was obtained.
出处 《北京工业大学学报》 CAS CSCD 北大核心 2015年第9期1430-1436,共7页 Journal of Beijing University of Technology
基金 国家自然科学基金资助项目(11271119) 北京市自然科学基金资助项目(1122002)
关键词 Morita-Takeuchi关系余代数 四元组余模表示范畴 不可分解内射余模 Morita-Takeuchi context coalgebra tuple representation comodule category indecomposable injective comodule
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