| The Quotient Category of a Graded Morita-Takeuchi Context |
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| 引用本文： | F. CASTANO IGLESIAS C. NASTASESCU. The Quotient Category of a Graded Morita-Takeuchi Context[J]. 数学学报(英文版), 2006, 22(1): 123-130. DOI: 10.1007/s10114-004-0501-5 |
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| 作者姓名： | F. CASTANO IGLESIAS C. NASTASESCU |
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| 作者单位： | [1]Departamento de Estadistica y Matemdtica Aplicada, Universidad de Almeria 04120, Almeria, Spain [2]Facultatea de Matematica, Str. Academiei 14 RO-70109, Bucharest, Romania |
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| 摘 要： |
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| 关 键 词： | 等级余代数 商范畴 等价性 协张量 |
| 收稿时间： | 2003-04-23 |
| 修稿时间： | 2003-04-232003-10-27 |
The Quotient Category of a Graded Morita–Takeuchi Context |
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| F. Casta?o Iglesias,C. N?st?sescu. The Quotient Category of a Graded Morita–Takeuchi Context[J]. Acta Mathematica Sinica(English Series), 2006, 22(1): 123-130. DOI: 10.1007/s10114-004-0501-5 |
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| Authors: | F. Casta?o Iglesias C. N?st?sescu |
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| Affiliation: | (1) Departamento de Estadística y Matemática Aplicada, Universidad de Almería, 04120 Almería, Spain;(2) Facultatea de Matematică, Str. Academiei 14, RO-70109 Bucharest, Romania |
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| Abstract: | 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. |
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| Keywords: | Graded coalgebra Graded Morita context Quotient category |
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