Pseudo valuations on ho op-algebras with resp ect to filters

  • Yongwei Yang Anyang Normal University
  • Lingling Lu Anyang Normal University
  • Qiaoling Wang Anyang Normal University
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.

Author Biographies

Yongwei Yang, Anyang Normal University

School of Mathematics and Statistics, Anyang Normal University, Anyang 455000, China

Lingling Lu, Anyang Normal University

School of Mathematics and Statistics, Anyang Normal University, Anyang 455000, China

Qiaoling Wang, Anyang Normal University

School of Mathematics and Statistics, Anyang Normal University, Anyang 455000, China

Published
2017-11-30