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

Previous Articles     Next Articles

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

PDF (PC)

597

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
[1] LANE S M. Categories for the working mathematician[M] // Graduate Texts in Mathematics 5: 2nd edition. New York: Springer-verlag, 1998.
[2] HUANG Hualin, OYSYAEYEN F V, YANG Yuping, et al. The Green rings of pointed tensor categories of finite type[J]. Journal of Pure and Applied Algebra, 2014, 218(2):333-342.
[3] HUANG Hualin, LIU Guoxiang, YE Yu. Quivers, quasi-quantum groups and finite tensor categories[J]. Comm in Math Physics, 2011, 3(303):595-612.
[4] THOMASON R W. Symmetric monoidal categories model all connective spectra[J]. Theory and Applications of Categories, 1995, 1(5):78-118.
[5] BASS H. Algebraic K-theory[M]. New York: Benjamin, 1968.
[6] FOSSUM R M, GRIFFITH P A, REITEN I. Trivial extensions of abelian categories[M]. New York: Springer-Verlag, 1975.
[1] GUO Shuang-jian, LI Yi-zheng. When is BHQ a pre-braided category over quasi-Hopf algebras [J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2017, 52(12): 10-15.
Viewed
Full text


Abstract

Cited
  Shared   
  Discussed   
No Suggested Reading articles found!
Copyright 2018 © Editorial office of JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE)
Supported by Beijing Magtech Co.Ltd