The Homomorphism and Isomorphism on Hypergroup  被引量:4

The Homomorphism and Isomorphism on Hypergroup

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作  者:钟育彬 

出  处:《Chinese Quarterly Journal of Mathematics》1997年第3期7-14, ,共8页数学季刊(英文版)

摘  要:Basing on the papers from [1] to [4], this paper gives some further research,mainly solves the following problems:(1) It proved that several theorems of subgroup which have been raised to the hypergroup are still true.(2) It proved that the isomorphous relationship of the bottomgroups which guid to the hypergroup can still keep such relationship.(3) It proved that the basic isomorphous Theorem and the homogenous Theorem of the bottomgroup which raise to the hypergroup are still true.(4) It point out that when the isomorphous bottomgroups have been raised to the hypergroup,the conditions which form the isomorphism should be lessened.

关 键 词:HYPERGROUP HOMOMORPHISM ISOMORPHISM regular hypergroup uniform hypergroup 

分 类 号:O152.1[理学—数学]

 

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