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Presenting degenerate Ringel-Hall algebras of type B

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Abstract

We give a presentation for the degenerate Ringel-Hall algebras of type B by studying the corresponding generic extension monoid algebras. As an application, it is shown that the degenerate Ringel-Hall algebras of type B admit multiplicative bases.

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Authors and Affiliations

  1. Department of Mathematics, Beijing Normal University, Beijing, 100875, China

    LiJuan Fan

  2. Department of Mathematics and Computer Science, School of Science, Beijing University of Chemical Technology, Beijing, 100029, China

    ZhongHua Zhao

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  1. LiJuan Fan
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  2. ZhongHua Zhao
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Correspondence to ZhongHua Zhao.

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Fan, L., Zhao, Z. Presenting degenerate Ringel-Hall algebras of type B . Sci. China Math. 55, 949–960 (2012). https://doi.org/10.1007/s11425-011-4317-3

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  • DOI: https://doi.org/10.1007/s11425-011-4317-3

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