JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2016, Vol. 51 ›› Issue (4): 30-34.doi: 10.6040/j.issn.1671-9352.0.2015.187

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Two constructions of monoidal categories

FENG Qing1, HUANG Ju2*   

  1. 1. Department of Electronic and Information Engineering, Fuqing Branch of Fujian Normal University, Fuqing 350300, Fujian, China;
    2. School of Mathematics and Computer Science, Fujian Normal University, Fuzhou 350117, Fujian, China
  • Received:2015-04-23 Online:2016-04-20 Published:2016-04-08

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Abstract: Two monoidal categories by the extensions of category are constructed, and it is proved that a loop category of a given monoidal category is a monoidal category. For an additive monoidal category and an additive strict monoidal functor, it is proved that its trivial extension is a monoidal category.

Key words: loop category, monoidal category, trivial extension

CLC Number: 

  • O154.1
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