Results 1 to 10 of about 113 (32)

The prime and maximal spectra and the reticulation of residuated lattices with applications to De Morgan residuated lattices

open access: yesOpen Mathematics, 2020
In this paper, by using the ideal theory in residuated lattices, we construct the prime and maximal spectra (Zariski topology), proving that the prime and maximal spectra are compact topological spaces, and in the case of De Morgan residuated lattices ...
Holdon Liviu-Constantin
doaj   +1 more source

Gődel filters in residuated lattices

open access: yesAnalele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2021
In this paper, in the spirit of [4], we study a new type of filters in residuated lattices : Gődel filters. So, we characterize the filters for which the quotient algebra that is constructed via these filters is a Gődel algebra and we establish the ...
Piciu Dana   +2 more
doaj   +1 more source

Folding Theory of Implicative and Obstinate Ideals in Bl-Algebras

open access: yesDiscussiones Mathematicae - General Algebra and Applications, 2018
In this paper, the concepts of n-fold implicative ideals and n-fold obstinate ideals in BL-algebras are introduced. With respect to this concepts, some related results are given. In particular, it is proved that an ideal is an n-fold implicative ideal if
Paad Akbar
doaj   +1 more source

Disjointed sum of products by a novel technique of orthogonalizing ORing

open access: yesOpen Mathematics, 2018
This work presents a novel combining method called ‘orthogonalizing ORing ◯∨$\bigcirc\!\!\!\!\!\!\vee $’ which enables the building of the union of two conjunctions whereby the result consists of disjointed conjunctions.
Can Yavuz
doaj   +1 more source

Some decompositions of filters in residuated lattices

open access: yesAnalele 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   +2 more
doaj   +1 more source

Study of MV-algebras via derivations

open access: yesAnalele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2019
The main goal of this paper is to give some representations of MV-algebras in terms of derivations. In this paper, we investigate some properties of implicative and difference derivations and give their characterizations in MV-algebras.
Wang Jun Tao, She Yan Hong, Qian Ting
doaj   +1 more source

Closure Operations on Intuitionistic Linear Algebras

open access: yesAnnales Mathematicae Silesianae
In this paper, we introduce the notions of radical filters and extended filters of Intuitionistic Linear algebras (IL-algebras for short) and give some of their properties.
Tenkeu Jeufack Y.L.   +2 more
doaj   +1 more source

Remarks on some connections between ideals and filters in residuated lattices

open access: yesAnalele 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   +2 more
doaj   +1 more source

Autoreactive B cells against malondialdehyde-induced protein cross-links are present in the joint, lung, and bone marrow of rheumatoid arthritis patients. [PDF]

open access: yesJ Biol Chem, 2023
Sahlström P   +12 more
europepmc   +1 more source

Integration of molecular biology tools for identifying promoters and genes abundantly expressed in flowers of Oncidium Gower Ramsey. [PDF]

open access: yesBMC Plant Biol, 2011
Hsu CT   +9 more
europepmc   +1 more source

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