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Pure $$\varGamma $$-ideals in $$\varGamma $$-semigroups

Afrika Matematika, 2021
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Mahboob, Ahsan, Khan, Noor Mohammad
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Characterizations of regular and k-regular semirings by pure ideals and pure k-ideals

Afrika Matematika, 2023
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Pakorn Palakawong na Ayutthaya   +2 more
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Normal hyperlattices and pure ideals of hyperlattices

Asian-European Journal of Mathematics, 2016
Two main goals are achieved in this article. On the one hand, we introduce the notion of pure ideal in hyperlattices and provide both algebraic and topological characterizations of the notion. On the other hand, we introduce normal hyperlattices, as a natural generalization of normal lattices as treated by Cornish.
Koguep, Blaise B. N.   +2 more
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Pure ideals in T-semirings

2023
In this thesis, we de ne and characterize right pure ideals, left pure ideals, right weakly pure ideals and left weakly pure ideals in T-semirings. We also characterize right weakly regular T-semirings by the properties of right pure ideals. Next, we introduce purely prime, purely semiprime, purely irreducible, strongly irreducible pure and purely ...
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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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Lie ideals: from pure algebra to C*-algebras

Journal für die reine und angewandte Mathematik (Crelles Journal), 2008
The classification of Lie ideals of a given associative algebra \(A\) is the main purpose of this paper. The most relevant results here concern the relation between associative ideals and Lie ideals. Of particular relevance are the following notions: if \(L\) is a Lie ideal and \(J\) is an associative ideal, then \(L\) and \(J\) are commutator equal if
Brěsar, Matej   +2 more
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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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