Stabilizers in MTL-algebras
Logic
2017-09-15 v1
Abstract
In the paper, we introduce some stabilizers and investigate related properties of them in MTL-algebras.Then, we also characterize some special classes of MTL-algebras, for example, IMTL-algebras, integral MTL-algebras, G\"{o}del algebras and MV-algebras, in terms of these stabilizers. Moreover, we discuss the relation between stabilizers and several special filters (ideals) in MTL-algebras. Finally, we discuss the relation between these stabilizers and prove that the right implicative stabilizer and right multiplicative stabilizer are order isomorphic. This results also give answers to some open problems, which were proposed by Motamed and Torkzadeh in [Soft Comput, {\bf 21} (2017) 686-693].
Keywords
Cite
@article{arxiv.1709.04817,
title = {Stabilizers in MTL-algebras},
author = {Jun Tao Wang and Peng Fei He and Arsham Borumand Saeid},
journal= {arXiv preprint arXiv:1709.04817},
year = {2017}
}