Journal of Jilin University Science Edition ›› 2019, Vol. 57 ›› Issue (2): 253-257.

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A Note on LatticeValued Filters

ZHAO Hu1,2, ZHANG Hongying2   

  1. 1. School of Science, Xi’an Polytechnic University, Xi’an 710048, China;2. School of Mathematics and Statistics, Xi’an Jiaotong University, Xi’an 710049, China
  • Received:2018-04-04 Online:2019-03-26 Published:2019-03-26
  • Contact: ZHAO Hu E-mail:zhaohu2007@yeah.net

Abstract: We first pointed out that the product of two latticevalued filters was not necessarily  latticevalued filters by a counterexample. Then we defined inverse operation and multiplication for latticevalued filters on groups, and characterized the results of inverse operation and multiplication.

Key words: latticevalued filter, surjective group homomorphism,  , inverse, multiplication

CLC Number: 

  • O189.1