Title of article
Radicals in MTL-algebras
Author/Authors
Borumand Saeid، نويسنده , , Arsham and Zahiri، نويسنده , , Saeide Garousi، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2014
Pages
13
From page
91
To page
103
Abstract
We study some special sets in MTL-algebras. The notion of the radical of a filter in MTL-algebras is defined and several characterizations of the radical of a filter are given. The sets of dense elements and double complemented elements in MTL-algebras are defined and we state and prove some theorems on the properties of these sets and filters of MTL-algebras. We also prove that the radical of a positive implicative filter of an MTL-algebra is a subset of double complemented elements.
Keywords
Double complemented element , Dense element , Non-classical logics , Residuated lattice , MTL-algebra , obstinate , (prime , positive implicative , maximal) filter , radical
Journal title
FUZZY SETS AND SYSTEMS
Serial Year
2014
Journal title
FUZZY SETS AND SYSTEMS
Record number
1601847
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