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Boolean Algebra Retracts

open access: yes, 1971
A Boolean algebra B is a retract of an algebra A if there exist homomorphisms ƒ: B → A and g: A → B such that gƒ is the identity map B. Some important properties of retracts of Boolean algebras are stated in [3, §§ 30, 31, 32]. If A and B are a-complete,
Timothy Cramer
core   +1 more source

Pairs of Boolean elements based on a `concrete' Rauszer Boolean algebra

open access: yes, 2021
With the development of practical applications in the domain of information systems, a wide variety of non-classical logics are part of current studies.
Iturrioz, Luisa
core   +2 more sources

Level of Evidence and Grade Recommendation for the Diagnosis of Patients with Pseudoarthrosis in Traumatic Fractures of the Thoracolumbar Spine (T11–L2): Systematic Review

open access: yesGlobal Spine Journal, 2015
Objective This study aims to study the through a systematic review to identify the level of evidence and grade of recommendation for the diagnosis of nonunion in patients with traumatic fractures of the thoracolumbar spine.
Jorge Arturo Garcia Dávila
doaj   +1 more source

A method for bi-decomposition of partial Boolean functions

open access: yesInformatika, 2019
The problem of bi-decomposition of a Boolean function is to represent a given Boolean function in the form of a given logic algebra operation over two Boolean functions and so is reduced to specification of these functions.
Yu. V. Pottosin
doaj  

Using Whales to Complete a Boolean Algebra

open access: yesMissouri Journal of Mathematical Sciences, 2002
Let \(B\) be a Boolean algebra and \(A\) be a subset of \(B\). Then \(A\) is called a whale of \(B\) if (1) \(a\in A,\) \(b\in B\) and \(b \leq a\) imply \(b\in A\); (2) sup\(\{a \mid a\in A\}=1\). The author uses the whales of \(B\) to construct the completion of \(B\).
openaire   +3 more sources

Judgment aggregators and Boolean algebra homomorphisms

open access: yes, 2009
Herzberg F. Judgment aggregators and Boolean algebra homomorphisms. Working Papers. Institute of Mathematical Economics. Vol 414. Bielefeld: Universität Bielefeld; 2009.The theory of Boolean algebras can be fruitfully applied to judgment aggregation ...
Herzberg, Frederik
core  

Relation algebras with n-dimensional relational bases [PDF]

open access: yes, 2000
Accepted ...
Hirsch, R, Hodkinson, I
core   +1 more source

Representation of a Boolean algebra by its triangular norms

open access: yes, 1997
Given a complete and atomic Boolean algebra $B$, there exists a family $\tau_{\gamma}$ of triangular norms on $B$ such that, under the partial ordering of triangular norms, $\tau_{\gamma}$ is a Boolean algebra isomorphic to $B$, where $\gamma$ is the set
Ray, Suryansu
core   +1 more source

THE INTERNAL IDEAL LATTICE IN THE TOPOS OF M-SETS [PDF]

open access: yesJournal of Sciences, Islamic Republic of Iran, 1994
We believe that the study of the notions of universal algebra modelled in an arbitarry topos rather than in the category of sets provides a deeper understanding of the real features of the algebraic notions.
doaj  

A note on countably generated complete Boolean algebras

open access: yes, 1976
In this note, we construct (assuming the G.C.H.) a countably generated cardinal preserving complete Boolean algebra of cardinality ℵ ω + 2 {\aleph _{\omega + 2}}
Thomas J. Jech
core   +1 more source

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