Results 21 to 30 of about 111 (33)

Explicit Pre A*-algebra [PDF]

, 2018
This manuscript is a study on Birkhoff centre of a Pre-A*-algebra. In fact, it is proved that Birkhoff centre of a Pre A*-algebra is also a Pre A*-algebra and identified that the centre of Birkhoff centre of a Pre A*-algebra is a Boolean algebra.Keywords:
Alemayehu, Habtu, Satyanarayana, A., Venkateswararao, J.   +2 more
core   +2 more sources

Closure Operations on Intuitionistic Linear Algebras

Annales 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., Alomo Temgoua E.R., Heubo-Kwegna O.A.   +2 more
doaj   +1 more source

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

Some notes on Esakia spaces [PDF]

, 2014
Under Stone/Priestley duality for distributive lattices, Esakia spaces correspond to Heyting algebras which leads to the well-known dual equivalence between the category of Esakia spaces and morphisms on one side and the category of Heyting algebras and ...
Dedicated To Manuela Sobral, Dirk Hofmann, Pedro Nora   +2 more
core  

A simultaneous generalization of independence and disjointness in boolean algebras

, 2011
We give a definition of some classes of boolean algebras generalizing free boolean algebras; they satisfy a universal property that certain functions extend to homomorphisms. We give a combinatorial property of generating sets of these algebras, which we
Corey Thomas Bruns, JD Monk, JD Monk, K Kunen, L Heindorf, L Heindorf, M Bell, MG Bell, MG Bell, S Koppelberg   +9 more
core   +1 more source

Judgement aggregators and boolean algebra homomorphism [PDF]

, 2009
The theory of Boolean algebras can be fruitfully applied to judgment aggregation: Assuming universality, systematicity and a sufficiently rich agenda, there is a correspondence between (i) non-trivial deductively closed judgment aggregators and (ii ...
Herzberg, Frederik
core  

The lattice of ideals of certain rings

, 2023
Let $A$ be a unitary ring and let $(\mathbf{I(A),\subseteq })$ be the lattice of ideals of the ring $A.$ In this article we will study the property of the lattice $(\mathbf{I(A),\subseteq})$ to be Noetherian or not, for various types of rings $A$. In the
Savin, Diana
core  

Minimal Axiomatization of Boolean Algebras

, 2023
In this paper, we present a new axiomatic system that is a minimal axiomatization of Boolean algebras. Furthermore, the symmetric difference is shown to be algebraically analogous to the modular difference of two numbers, which also means that a Boolean ...
Zhang, Eugene
core  

Judgment aggregators and Boolean algebra homomorphisms [PDF]

The theory of Boolean algebras can be fruitfully applied to judgment aggregation: Assuming universality, systematicity and a sufficiently rich agenda, there is a correspondence between (i) non-trivial deductively closed judgment aggregators and (ii ...
Frederik Herzberg
core  

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

J Biol Chem, 2023
Sahlström P, Joshua V, Valkovskaia V, Biese C, Stålesen R, Israelsson L, Végvári Á, Scheel-Toellner D, Klareskog L, Hansson M, Hensvold A, Malmström V, Grönwall C.   +12 more
europepmc   +1 more source