Results 141 to 150 of about 1,853 (178)

Residuated skew lattices

Information Sciences, 2018
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zhi, Yuan, Zhou, Xiangnan, Li, Qingguo
openaire   +2 more sources

Normal residuated lattices

Afrika Matematika, 2014
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ahadpanah, A., Torkzadeh, L.
openaire   +2 more sources

Ideals of Residuated Lattices

Studia Scientiarum Mathematicarum Hungarica, 2021
In this article, we study ideals in residuated lattice and present a characterization theorem for them. We investigate some related results between the obstinate ideals and other types of ideals of a residuated lattice, likeness Boolean, primary, prime, implicative, maximal and ʘ-prime ideals.
Liviu-Constantin Holdon, Arsham Borumand Saeid   +1 more
openaire   +1 more source

Prime Filters on Residuated Lattices

2012 IEEE 42nd International Symposium on Multiple-Valued Logic, 2012
In this short paper we give an affirmative answer to the problem left open in \cite{IEEE how to: GDCK}, that is, for any residuated lattice $L$, if prime filters and prime filters of the second kind coincide, then $L$ must be an MTL-algebra.
M. Kondo, E. Turunen
openaire   +1 more source

Compatible Operations on Residuated Lattices

Studia Logica, 2011
The authors adopt a definition for residuated lattices in which the lattice reduct is not necessarily bounded, commutativity is not assumed either, and both the left and right residua are present. An operation \(f\) on a set \(L\) endowed with an algebraic structure is said to be compatible iff every congruence of the algebra \(L\) is also a congruence
Castiglioni, J. L., San Martín, H. J.
openaire   +2 more sources

Residuated lattices and lattice effect algebras

Fuzzy Sets and Systems, 2007
The authors study two partial operations in effect algebras, namely \(a \odot b = (a' \oplus b')'\) if \(a' \oplus b'\) is defined and \(a \to_p b = a' \oplus b\) if \(a' \oplus b\) is defined. They show, e.g., that for an effect algebra \((E, \oplus, 0, 1)\) we obtain a (dual) effect algebra \((E, \odot,0,1)\). Using these operations they construct an
Zhou, Xiang-Nan, Li, Qing-Guo, Wang, Guo-Jun   +2 more
openaire   +2 more sources

Derivations of Commutative Residuated Lattices

Bulletin of the Iranian Mathematical Society, 2018
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +2 more sources

Nodal filters in Residuated Lattices

Journal of Intelligent & Fuzzy Systems, 2016
In this paper, we introduce the notion of a nodal filter in residuated lattices. We give several characterizations of these filters and also some relationships between these filters and other types of filters are obtained, as well. Finally, we prove that the class of all nodal filters of a residuated lattice forms a Heyting algebra.
openaire   +2 more sources

Word problem for knotted residuated lattices

Journal of Pure and Applied Algebra, 2015
This paper deals with the word problem for the variety \(RL(m,n)\) of residuated lattices axiomatized by the extra equation \(x^m\leq x^n\).
openaire   +3 more sources

DIRECTLY INDECOMPOSABLE RESIDUATED LATTICES

2009
The aim of this paper is to extend results established by H. Ono and T. Kowalski regarding directly indecomposable commutative residuated lattices to the non-commutative case. The main theorem states that a residu- ated lattice A is directly indecomposable if and only if its Boolean center B(A) is {0,1}.
openaire   +1 more source