HOOPS WITH QUASI-VALUATION MAPS

Based on subalgebras and filters in hoops, the notions of S-quasi-valuation maps and F-quasi-valuation maps are introduced, and related properties are investigated. Relations between S-quasi-valuation maps and F-quasi-valuation maps are introduced. Using F-quasi-valuation map, a (pseudo) metric spac...

Full description

Saved in:
Bibliographic Details
Published inJournal of algebraic systems Vol. 8; no. 2; pp. 251 - 268
Main Authors M. Aaly Kologani, G. R. Rezaei, R. A. Borzooei, Y. B. Jun
Format Journal Article
LanguageEnglish
Published Shahrood University of Technology 01.01.2021
Subjects
(pseudo) metric space
f)-quasi-valuation map
hoop
quasi-valuation map
s⊙(s
Online AccessGet full text

Cover

More Information
Summary:Based on subalgebras and filters in hoops, the notions of S-quasi-valuation maps and F-quasi-valuation maps are introduced, and related properties are investigated. Relations between S-quasi-valuation maps and F-quasi-valuation maps are introduced. Using F-quasi-valuation map, a (pseudo) metric space is indued, and we show that the operations “⊙”, “→” and “∧” in a hoop are uniformly continuous.
ISSN:2345-5128
2345-511X
DOI:10.22044/jas.2020.8499.1413