Results 111 to 120 of about 467,015 (135)

The Set of Intermediate Rings as a Boolean Algebra

Communications in Algebra, 2014
Let R ⊂ S be an extension of integral domains, Supp(S/R) = {P ∈ Spec(R): (S/R) P  ≠ 0} the support of the R-module S/R, and [R, S] the set of intermediate rings between R and S. We prove the following theorem: If there is a maximal chain of rings from R to S of length n and Supp(S/R) consists of n maximal ideals, then ([R, S], ·, ∩) is a boolean ...
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Short Formulations of Boolean Algebra, Using Ring Operations

Canadian Journal of Mathematics, 1951
Special interest has recently attached to formulations of Boolean algebra in terms of ring operations [7], [1]. These axiomatizations have not been as brief as those reached through other modes of approach.
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On Boolean algebras and integrally closed commutative regular rings

Journal of Symbolic Logic, 1992
AbstractIn this paper we consider properties, related to model-completeness, of the theory of integrally closed commutative regular rings. We obtain the main theorem claiming that in a Boolean algebra B, the truth of a prenex Σn-formula whose parameters ai, partition B, can be determined by finitely many conditions built from the first entry of Tarski ...
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On implementing the symbolic preprocessing function over Boolean polynomial rings in Gröbner basis algorithms using linear algebra

Journal of Systems Science and Complexity, 2015
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yao Sun 0004, Zhenyu Huang 0004, Dongdai Lin, Dingkang Wang   +3 more
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Relationship between Boolean algebras, partially ordered sets and rings in the course of «Вiscrete mathematics»: METHODOLOGY OF TEACHING MATHEMATICS IN INSTITUTIONS OF GENERAL SECONDARY AND HIGHER EDUCATION

2021
У статтi розглядається частково впорядкованi множини та їх зв’язок з булевими алгебрами та кiльцями. Представлено ряд тверджень, якi доцiльно вивчати при знайомствi з алгебраїчними структурами студентам фiзико-математичного факультету спецiальностi 014 Середня освiта (Iнформатика) в курсi дискретної математики.
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WHEN IS THE SET OF INTERMEDIATE RINGS A FINITE BOOLEAN ALGEBRA

2010
Let R ⊂ S be an extension of integral domains with identity such that R is not a field and R is integrally closed in S. We determine necessary and sufficient conditions so that the set of intermediate rings [R, S] between R and S is a finite boolean algebra.
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Gauge-invariant ideals of C⁎-algebras of Boolean dynamical systems

Journal of Mathematical Analysis and Applications, 2020
Eunji Kang, Toke Meier Carlsen
exaly  

Homomorphisms of a class of rings and two-valued measures on Boolean algebras

Functional Analysis and Its Applications, 1977
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P ≠ NP for all infinite Boolean algebras

Mathematical Logic Quarterly, 2003
Mihai Prunescu
exaly  

Free algebras in varieties of BL-algebras with a Boolean retract.

Algebra Universalis, 2002
Roberto Cignoli
exaly