Results 11 to 20 of about 190 (76)

The relations among fuzzy t-filters on residuated lattices. [PDF]

open access: yesScientificWorldJournal, 2014
We give the simple general principle of studying the relations among fuzzy t‐filters on residuated lattices. Using the general principle, we can easily determine the relations among fuzzy t‐filters on different logical algebras.
Zhang H, Li Q.
europepmc   +2 more sources

Fuzzy Ideals in Pseudo‐Hoop Algebras

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 2022, Issue 1, 2022., 2022
In this study, fuzzy ideals in pseudo‐hoop algebras are presented. Also, we investigate fuzzy congruences relations on pseudo‐hoop algebras induced by fuzzy ideals. By using fuzzy ideals, we create the fuzzy quotient pseudo‐hoop algebras and identify and demonstrate the one‐to‐one relationship between the set of all normal fuzzy ideals of a pseudo‐hoop
Teferi Getachew Alemayehu   +1 more
wiley   +1 more source

On State Ideals and State Relative Annihilators in De Morgan State Residuated Lattices

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 2022, Issue 1, 2022., 2022
The concept of state has been considered in commutative and noncommutative logical systems, and their properties are at the center for the development of an algebraic investigation of probabilistic models for those algebras. This article mainly focuses on the study of the lattice of state ideals in De Morgan state residuated lattices (DMSRLs).
Francis Woumfo   +4 more
wiley   +1 more source

Interior GE‐Algebras

open access: yesJournal of Mathematics, Volume 2021, Issue 1, 2021., 2021
The concepts of (commutative, transitive, left exchangeable, belligerent, antisymmetric) interior GE‐algebras and bordered interior GE‐algebras are introduced, and their relations and properties are investigated. Many examples are given to support these concepts. A semigroup is formed using the set of interior GE‐algebras.
Jeong-Gon Lee   +4 more
wiley   +1 more source

Annihilators in Universal Algebras: A New Approach

open access: yesJournal of Mathematics, Volume 2020, Issue 1, 2020., 2020
The purpose of this paper is to study annihilators and annihilator ideals in a more general context; in universal algebras.
Gezahagne Mulat Addis, Andrei V. Kelarev
wiley   +1 more source

Strongly divisible lattices and crystalline cohomology in the imperfect residue field case

open access: yesSelecta Mathematica, 2023
Let $k$ be a perfect field of characteristic $p \geq 3$, and let $K$ be a finite totally ramified extension of $K_0 = W(k)[p^{-1}]$. Let $L_0$ be a complete discrete valuation field over $K_0$ whose residue field has a finite $p$-basis, and let $L = L_0\otimes_{K_0} K$.
openaire   +3 more sources

Pavelka-style completeness in expansions of \L ukasiewicz logic [PDF]

open access: yes, 2008
An algebraic setting for the validity of Pavelka style completeness for some natural expansions of \L ukasiewicz logic by new connectives and rational constants is given.
Freytes, Hector
core   +1 more source

Quantifier elimination and other model-theoretic properties of BL-algebras [PDF]

open access: yes, 2016
This work presents a model-theoretic approach to the study of firstorder theories of classes of BL-chains. Among other facts, we present several classes of BL-algebras, generating the whole variety of BL-algebras whose firstorder theory has quantifier ...
Cortonesi, Tommaso   +2 more
core   +1 more source

Many-Valued Institutions for Constraint Specification [PDF]

open access: yes, 2016
We advance a general technique for enriching logical systems with soft constraints, making them suitable for specifying complex software systems where parts are put together not just based on how they meet certain functional requirements but also on how ...
BC Pierce   +23 more
core   +2 more sources

Advances in the theory of μŁΠ algebras [PDF]

open access: yes, 2016
Recently an expansion of ŁΠ1/2 logic with fixed points has been considered [23]. In the present work we study the algebraic semantics of this logic, namely μŁΠ algebras, from algebraic, model theoretic and computational standpoints.
Marchioni, Enrico, Spada, Luca
core   +1 more source

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