PSEUDO VALUATIONS ON HOOP-ALGEBRAS WITH RESPECT TO FILTERS

Authors

  • Yongwei Yang School of Mathematics and Statistics, Anyang Normal University, Anyang 455000, China
  • Lingling Lu School of Mathematics and Statistics, Anyang Normal University, Anyang 455000, China
  • Qiaoling Wang School of Mathematics and Statistics, Anyang Normal University, Anyang 455000, China

DOI:

https://doi.org/10.53555/eijms.v3i2.11

Keywords:

Hoop, Pseudo valuation, Pseudo-metric space

Abstract

The concept of pseudo valuations on hoop-algebras is introduced, and then the relationship between pseudo-valuations and filers is investigated. Some conditions for a real-valued function to be a pseudo valuation are provided. Finally, we prove the fact that binary operations on hoop-algebras are uniformly continuous based on the notion of pseudo valuation.

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Published

2017-06-27

Issue

Vol. 3 No. 1 (2017): EPH - International Journal of Mathematics and Statistics (ISSN: 2208-2212)

Section

Articles

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Copyright (c) 2017 International Journal of Mathematics and Statistics

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