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Primitive ideals and pure infiniteness of ultragraph $C^*$-algebras

, 2017
Let $\mathcal{G}$ be an ultragraph and let $C^*(\mathcal{G})$ be the associated $C^*$-algebra introduced by Mark Tomforde. For any gauge invariant ideal $I_{(H,B)}$ of $C^*(\mathcal{G})$, we approach the quotient $C^*$-algebra $C^*(\mathcal{G})/I_{(H,B)}$
H. Larki
semanticscholar   +1 more source

When every pure ideal is projective

Journal of Algebra and Its Applications, 2015
In this paper, we study the class of rings in which every pure ideal is projective. We refer to rings with this property as PIP-rings. Some properties and examples of PIP-rings are given. When R is a PIP-ring, some new homological dimensions for complexes are given.
Hu, Jiangsheng, Liu, Haiyu, Geng, Yuxian
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Symbolic powers of polymatroidal ideals

Journal of Pure and Applied Algebra
In this paper, we investigate the componentwise linearity and the Castelnuovo-Mumford regularity of symbolic powers of polymatroidal ideals. For a polymatroidal ideal $I$, we conjecture that every symbolic power $I^{(k)}$ is componentwise linear and ...
Antonino Ficarra, Somayeh Moradi
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Ideal Pure Shear Strength of Aluminum and Copper

Science, 2002
Although aluminum has a smaller modulus in {111}〈112̄〉 shear than that of copper, we find by first-principles calculation that its ideal shear strength is larger because of a more extended deformation range before softening. This fundamental behavior, along with an abnormally high intrinsic stacking fault energy and a different orientation dependence ...
Shigenobu, Ogata, Ju, Li, Sidney, Yip
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Characterising bases of pure difference ideals

2020
In this thesis, we study the basis sets of pure difference ideals, that is, ideals that are generated by differences of monic monomials. We examine the action of the hyperoctahedral group on the defining ideal of the Segre variety in the multi-dimensional case and present some striking computational results.
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Projectivity of pure ideals

1983
L'anneau considéré \(A\) est commutatif et unitaire. Un idéal \(I\) de \(A\) est pur si l'on a \(J\cap I=JI\) pour tout idéal \(J\) de \(A\). Une étude algébrique des idéaux purs permet de compléter sur bien des points des résultats déjà connus ou d'en simplifier les démonstrations; citons par exemple: si \(I\) est un idéal pur de \(A\), le plus petit ...
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The Pure-Science Ideal and Democratic Culture

Science, 1967
These early experiences of pure scientists will have an unmistakable ring of familiarity to anyone familiar with the current situation. Charles Sanders Peirce, with characteristic insight, had stated the fundamental dilemma of the pure scientist operating within a democratic framework. How can one ask the public to provide support, much less facilities,
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Pure ℓ-Ideals in Lattice-Ordered Rings#

Communications in Algebra, 2005
An l-ideal I of a commutative lattice-ordered ring R with positive identity element is called a pure l-ideal if R  =  I  + l( x ) for each x  ∈  I , where l(x) is the l-annihilator of x in R . In this article, we give some results on pure l-ideals and study the l-ideal structure of a commutative lattice-ordered ring with positive identity element by ...
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On intuitionistic fuzzy idempotent, prime, strongly irreducible and t-pure ideals of semirings

Journal of Intelligent & Fuzzy Systems, 2017
Apil Uddin Ahmed, S. Rahman, B. Davvaz
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