@article { author = {Aaly Kologani, M. and Rezaei, G. R. and Borzooei, R. A. and Jun, Y. B.}, title = {HOOPS WITH QUASI-VALUATION MAPS}, journal = {Journal of Algebraic Systems}, volume = {8}, number = {2}, pages = {251-268}, year = {2021}, publisher = {Shahrood University of Technology}, issn = {2345-5128}, eissn = {2345-511X}, doi = {10.22044/jas.2020.8499.1413}, abstract = {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 “āŠ™”, “→” and “∧” in a hoop are uniformly continuous.}, keywords = {Hoop,quasi-valuation map,SāŠ™(Sā†’,F)-quasi-valuation map,(pseudo) metric space}, url = {https://jas.shahroodut.ac.ir/article_1955.html}, eprint = {https://jas.shahroodut.ac.ir/article_1955_ce7dc383760b98c224e268740b53e849.pdf} }