Chinese Quarterly Journal of Mathematics ›› 2015, Vol. 30 ›› Issue (2): 218-226.doi: 10.13371/j.cnki.chin.q.j.m.2015.02.009
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Abstract: In this paper, we categorify a Hom-associative algebra by imposing the Homassociative law up to some isomorphisms on the multiplication map and requiring that these isomorphisms satisfy the Pentagon axiom, and obtain a 2-Hom-associative algebra. On the other hand, we introduce the dual Hom-quasi-Hopf algebra and show that any dual Homquasi-Hopf algebras can be viewed as a 2-Hom-associative algebra.
Key words: Monoidal category, 2-Hom-associative algebra, dual Hom-quasi-Hopf algebra
CLC Number:
O153.3
CHENG Yong-sheng, LIU Guo-jing. Monoidal Category Approach to Dual Hom-quasi-Hopf Algebras[J]. Chinese Quarterly Journal of Mathematics, 2015, 30(2): 218-226.
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URL: https://sxjk.magtechjournal.com/EN/10.13371/j.cnki.chin.q.j.m.2015.02.009
https://sxjk.magtechjournal.com/EN/Y2015/V30/I2/218
