The Quotient Category of a Graded Morita-Takeuchi Context  

The Quotient Category of a Graded Morita-Takeuchi Context

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作  者:F. CASTANO IGLESIAS C. NASTASESCU 

机构地区:[1]Departamento de Estadistica y Matemdtica Aplicada, Universidad de Almeria 04120, Almeria, Spain [2]Facultatea de Matematica, Str. Academiei 14 RO-70109, Bucharest, Romania

出  处:《Acta Mathematica Sinica,English Series》2006年第1期123-130,共8页数学学报(英文版)

摘  要:In this paper, we offer a graded equivalence between the quotient categories defined by any graded Morita-Takeuchi context via certain modifications of the graded cotensor functors. As a consequence, we show a commutative diagram that establish the relation between the closed objects of the categories gr^c and M^C, where C is a graded coalgebra.In this paper, we offer a graded equivalence between the quotient categories defined by any graded Morita-Takeuchi context via certain modifications of the graded cotensor functors. As a consequence, we show a commutative diagram that establish the relation between the closed objects of the categories gr^c and M^C, where C is a graded coalgebra.

关 键 词:Graded coalgebra Graded Morita context Quotient category 

分 类 号:O15[理学—数学]

 

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