山东大学学报(理学版) ›› 2016, Vol. 51 ›› Issue (4): 30-34.doi: 10.6040/j.issn.1671-9352.0.2015.187
冯清1,黄菊2*
FENG Qing1, HUANG Ju2*
摘要: 通过范畴的扩张构造两类monoidal范畴。给定一个monoidal范畴,构造了一个回路范畴并证明其仍然为monoidal范畴。给定一个加法monoidal范畴及一个加法严格monoidal函子,证明可以构造一个仍然为monoidal范畴的平凡扩张范畴。
中图分类号:
[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] | 郭双建,李怡铮. 拟Hopf代数上BHQ何时是预辫子monoidal范畴[J]. 山东大学学报(理学版), 2017, 52(12): 10-15. |
|