1 research outputs found
Stabilizers in MTL-algebras
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]