| One-point extension and recollement |
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| 作者单位： | LIN YaNan LIN ZengQiang~ School of Mathematical Science，Xiamen University，Xiamen 361005，China |
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| 摘 要： | This paper is devoted to studying the recollement of the categories of finitely generated modules over finite dimensional algebras. We prove that for algebras A, B and C, if A-mod admits a recollement relative to B-mod and C-mod, then AR]-mod admits a recollement relative to BS]-mod and C-mod, where AR]and BS]are the one-point extensions of A by R and of B by S.
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| 收稿时间： | 9 May 2007 |
| 修稿时间： | 15 October 2007 |
One-point extension and recollement |
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| Authors: | Lin YaNan Lin ZengQiang |
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| Institution: | (1) School of Mathematical Science, Xiamen University, Xiamen, 361005, China |
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| Abstract: | This paper is devoted to studying the recollement of the categories of finitely generated modules over finite dimensional algebras. We prove that for algebras A, B and C, if A-mod admits a recollement relative to B-mod and C-mod, then AR]-mod admits a recollement relative to BS]-mod and C-mod, where AR]and BS]are the one-point extensions of A by R and of B by S. |
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| Keywords: | one-point extension recollement module category adjoint functor |
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