Valuations and their generalizations for UP-algebras

In this paper, we introduce the notions of a weak pseudo-valuation, a 0-weak pseudo-valuation, a weak valuation, a near pseudo-valuation, a near valuation, a pseudo-valuation, and a valuation and induce a pseudo-metric without triangle inequality, a quasi pseudo-metric, a pseudo-metric, and a metric...

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Bibliographic Details
Main Authors: Siriwan Pawai, Tararat Khamsang, Aiyared Iampan
Format: Article
Language:English
Published: Ptolemy Scientific Research Press 2020-06-01
Series:Open Journal of Mathematical Sciences
Subjects:
Online Access:https://pisrt.org/psr-press/journals/oms-vol-4-2020/valuations-and-their-generalizations-for-up-algebras/