대한수학회논문집 (Communications of the Korean Mathematical Society)

  • 제27권1호
  • /
  • Pages.23-36
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  • 2012
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  • 1225-1763(pISSN)
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  • 2234-3024(eISSN)
대한수학회 (Korean Mathematical Society)
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DUALS OF ANN-CATEGORIES

  • Hanh, Dang Dinh (Department of Mathematics Hanoi National University of Education) ;
  • Quang, Nguyen Tien (Department of Mathematics Hanoi National University of Education)
  • 투고 : 2010.08.30
  • 발행 : 2012.01.31
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초록

Dual monoidal category $\mathcal{C}^*$ of a monoidal functor F : $\mathcal{C}\;{\rightarrow}\;\mathcal{V}$ has been constructed by S. Majid. In this paper, we extend the construction of dual structures for an Ann-functor F : $\mathcal{B}\;{\rightarrow}\;\mathcal{A}$. In particular, when F = $id_{\mathcal{A}}$, then the dual category $\mathcal{A}^*$ is indeed the center of $\mathcal{A}$ an this is a braided Ann-category.

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참고문헌

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