Results 41 to 50 of about 589 (143)

Some results on ideals via homomorphisms in BL-algebras [PDF]

Journal of Hyperstructures
In this paper, by considering the σ as a BL-homomorphism,we introduce the notion of σ-ideals in BL-algebras and obtain some new results about them. Also, while introducing the primary ideals in BL-algebras, we get some relationship between the primary ...
Fateme Alinaghian, Farhad Khaksar Haghani, Shahram Heidarian   +2 more
doaj   +1 more source

Some decompositions of filters in residuated lattices

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2019
In this paper we introduce a new class of residuated lattice: residuated lattice with (C∧&→) property and we prove that (C∧&→) ⇔ (C→) + (C∧).Also, we introduce and characterize C→, C∨, C∧ and C∧ & → filters in residuated lattices (i.e., we characterize ...
Piciu Dana, Dan Christina Theresia, Chirteş Florentina   +2 more
doaj   +1 more source

The Measure of Fuzzy Filters on BL-Algebras

Advances in Fuzzy Systems, 2019
The new concept of the fuzzy filter degree was given by means of the implication operator, which enables to measure a degree to which a fuzzy subset of a BL-algebra is a fuzzy filter.
Xiang Zhu, Md Gapar Md Johar, Lilysuriazna Binti Raya, Zu-hua Liao   +3 more
doaj   +1 more source

Completions in Subvarieties of BL-Algebras

2010 40th IEEE International Symposium on Multiple-Valued Logic, 2010
In the present paper we extend the results of \cite{BuCa} by completely characterizing dual canonical subvarieties of BL-algebras. These are subvarieties of algebras that satisfy the equation $x^k=x^{k+1}$ for some integer $k\ge 1$. As a corollary we get a full description of subvarieties of BL-algebras that admit completions.
Busaniche, Manuela, Cabrer, Leonardo Manuel   +1 more
openaire   +2 more sources

Varieties Generated by Standard BL-Algebras

Order, 2013
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +3 more sources

Semisimple and semilocal pseudo BL-algebras

Demonstratio Mathematica, 2009
AbstractThe concepts of semisimple and semilocal pseudo BL-algebras are investigated. Many facts corresponding with them are considerated. Moreover, we give a negative answer to the question from [Di Nola, Georgescu and Iorgulescu (Multiplae Valued Logic 8: 715-750, 2002), Problem 1.33].
Andrzej Walendziak, Magdalena Wojciechowska   +1 more
openaire   +1 more source

Varieties of BL-algebras I: general properties

Journal of Pure and Applied Algebra, 2003
The aim of the paper is to show some facts and techniques that are useful in order to describe the lattice of subvarieties of BL-algebras. An algebra \((A,\to,\cdot,0,1)\) is called a BL-algebra if \((A,\cdot,1)\) is a commutative monoid and the following identities are satisfied: \(x\to x= 1\), \(x\cdot(x\to y)= y\cdot(y\to x)\), \(x\to (y\to z)= (x ...
AGLIANO', PAOLO, MONTAGNA, FRANCO
openaire   +3 more sources

Framed cohomological Hall algebras and cohomological stable envelopes. [PDF]

Lett Math Phys, 2023
Botta TM.
europepmc   +1 more source

Fuzzy stabilizers in BL-algebras

Filomat, 2018
The primary goal of this paper is to develop fuzzy stabilizer theory in BL-algebras. Two types of fuzzy stabilizers are introduced and their related properties are given. Also, the relationships between fuzzy stabilizers and several fuzzy filters are discussed.
Cheng, Xiaoyun, Xin, Xiaolong, Wang, Juntao, He, Pengfei   +3 more
openaire   +3 more sources

Modeling Method to Abstract Collective Behavior of Smart IoT Systems in CPS. [PDF]

Sensors (Basel), 2022
Song J, Karagiannis D, Lee M.
europepmc   +1 more source