2015•International Journal of AlgebraOpen access
Some results about very good homomorphisms between hypergroups
Jianguo Chen, Guoxiang Wei, Huaguo Shi, Fengqing Li
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Abstract
Let f be a surjective very good homomorphism from a hypergroup H to a hypergroup H 0 . In this paper we prove rst that if H 0 has a scalar identity 0 and A = f 1 ( 0 ), then H=A = H 0 . Next, a series of results about hypergroups corresponding to that of groups are obtained by foregoing result. Mathematics Subject Classication: 20N20