EQ-ALGEBRAS WITH PSEUDO PRE-VALUATIONS

Authors

  • Yongwei Yang Anyang Normal University - School of Mathematics and Statistics
  • Xiaolong Xin Northwest University - School of Mathematics

Keywords:

EQ-algebra, pseudo pre-valuation, pseudo-metric space, (positive) implicative pseudo pre-valuation

Abstract

The concepts of (positive implicative, implicative) pseudo pre-valuations and strong pseudo pre-valuations are introduced and some related characterizations are studied.  The relationships among positive implicative pseudo pre-valuations, implicative pseudo pre-valuations and pseudo pre-valuations are investigated, and conditions for a real-valued function to be a pseudo pre-valuation are also discussed.  By using a congruence relation induced via a pseudo valuation, we construct a quotient structure and prove certain isomorphism theorems.

Cover of n°37 Italian Journal of Pure and Applied Mathematics

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Published

2017-01-31

How to Cite

Yang, Y., & Xin, X. (2017). EQ-ALGEBRAS WITH PSEUDO PRE-VALUATIONS. Italian Journal of Pure and Applied Mathematics, 37, 29–48. Retrieved from https://journals.uniurb.it/index.php/ijpam/article/view/6726

Issue

N°37 - January 2017

Section

Articoli - Forum Editrice

License

Copyright (c) 2017 Yongwei Yang, Xiaolong Xin

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

L'opera è pubblicata sotto  Licenza Creative Commons Attribuzione 4.0 Internazionale (CC-BY)

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