Results 91 to 100 of about 662 (160)

State filters in state residuated lattices [PDF]

Categories and General Algebraic Structures with Applications, 2019
In this paper, we introduce the notions of prime state filters, obstinate state filters, and primary state filters in state residuated lattices and study some properties of them.
Zahra Dehghani, Fereshteh Forouzesh
doaj  

Characterizations of Some Fuzzy Prefilters (Filters) in EQ-Algebras

The Scientific World Journal, 2014
We introduce and study some types of fuzzy prefilters (filters) in EQ-algebras. First, we present several characterizations of fuzzy positive implicative prefilters (filters), fuzzy implicative prefilters (filters), and fuzzy fantastic prefilters ...
Xiao Long Xin, Peng Fei He, Yong Wei Yang   +2 more
doaj   +1 more source

Fuzzy Weak Regular, Strong and Preassociative Filters in Residuated Lattices

Fuzzy Information and Engineering, 2014
In this paper, the notions of fuzzy weak regular, strong and preassociative filters are introduced with some properties of them investigated. In particular, under the context of Glivenko algebras, fuzzy weak regular filters and regular ones are ...
Wei Yang
doaj   +1 more source

Uniqueness Theorem in Complete Residuated Almost Distributive Lattices

Discussiones Mathematicae - General Algebra and Applications, 2019
Important properties of primary elements in a complete residuated ADL L and the uniqueness theorem in a complete complemented residuated ADL L are proved.
Rao G.C., Raju S.S.
doaj   +1 more source

Optimised ExpTime Tableaux for 𝒮ℋℐ𝒩 over Finite Residuated Lattices

Journal of Applied Mathematics, 2014
This study proposes to adopt a novel tableau reasoning algorithm for the description logic 𝒮ℋℐ𝒩 with semantics based on a finite residuated De Morgan lattice.
Jian Huang, Xinye Zhao, Jianxing Gong
doaj   +1 more source

RADICAL OF FILTERS IN RESIDUATED LATTICES

, 2017
. In this paper, the notion of the radical of a filter in residuated lattices is defined and several characterizations of the radical of a filter are given. We show that if F is a positive implicative filter (or obstinate filter), then Rad(F ) = F .
S Motamed
core  

Remarks on some connections between ideals and filters in residuated lattices

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica
Ideals and filters are important notions with different meanings in the study of algebraic structures related to logical systems. In this paper we establish new connections between these concepts in residuated lattices.
Piciu Dana, Dan Christina, Boboc Florentina   +2 more
doaj   +1 more source

Non-commutative residuated lattices [PDF]

Transactions of the American Mathematical Society, 1939
In the theory of non-commutative rings certain distinguished subrings, one-sided and two-sided ideals, play the important roles. Ideals combine under crosscut, union and multiplication and hence are an instance of a lattice over which a non-commutative multiplication is defined.† The investigation of such lattices was begun by W.
openaire   +1 more source

Pointed Lattice Subreducts of Varieties of Residuated Lattices

Order
Abstract We study the pointed lattice subreducts of varieties of residuated lattices (RLs) and commutative residuated lattices (CRLs), i.e. lattice subreducts expanded by the constant $$\textsf{1}$$
openaire   +3 more sources

Abstract residuation over lattices [PDF]

Bulletin of the American Mathematical Society, 1938
The idea of residuation goes back to Dedekind [3], † who introduced it in the theory of modules. It has since had extensive applications in the theory of algebraic modular systems [6], in the theory of ideals [8], and in certain topics of arithmetic [9]. On account of its fundamental role in several fields of modern algebra, it is desirable to consider
openaire   +4 more sources