| 摘要: | 
			 
		     | 本文研究了monoidal Hom-Hopf群-余代数上的Drinfeld量子偶的问题.利用交叉monoidalHom-Hopf T-余代数的定义及拟三角monoidal Hom-Hopf群-余代数的定义,获得了此Drinfeld量子偶是拟三角monoidal Hom-Hopf群-余代数的结果. | 
			
	         
				| 关键词:  拟三角  Monoidal Hom-Hopf群-余代数  Drinfeld量子偶 | 
			 
                | DOI: | 
            
                | 分类号:O153.3 | 
			 
             
                | 基金项目:Supported by the NSF of China (11371088; 11601078); the NSF of Jiangsu Province (BK2012736); the NSF of Jiangsu Province (KYLX15-0103). | 
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                | DRINFELD DOUBLE FOR MONOIDAL HOM-HOPF GROUP-COALGEBRAS | 
           
			
                | YOU Mi-man1, ZHOU Nan2 | 
           
		   
		   
                | 1.School of Mathematics and Information Science, North China University of Water Resource and Electric Power, Zhengzhou 450046, China;2.Department of Mathematics, Southeast University, Nanjing 211189, China | 
		   
             
                | Abstract: | 
			
                | In this paper, Drinfeld double over monoidal Hom-Hopf group-coalgebras is introduced. Via the definition of crossed monoidal Hom-Hopf T-coalgebras and the definition of quasitriangular monoidal Hom-Hopf group-coalgebras, we get the result that this Drinfeld double is a quasitriangular monoidal Hom-Hopf group-coalgebra. | 
	       
                | Key words:  quasitriangular  Monoidal Hom-Hopf group-coalgebra  Drinfeld Double |