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A unified approach to computing real and complex zeros of zero-dimensional ideals.
Rostalski, P. +2 more
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The P-ideal linking concept in critical point theory. Nonequivariant case
The P-ideal linking concept in critical point theory. Nonequivariant caseopenaire +1 more source
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P-ideal dichotomy and a strong form of the Suslin Hypothesis
Fundamenta Mathematicae, 2020Summary: We introduce a forcing notion which forces the P-ideal dichotomy, while every almost Suslin tree from the ground model remains non-special. Thus, while the P-ideal dichotomy implies the Suslin Hypothesis, or equivalently that every Aronszajn tree has an uncountable antichain, it does not imply that every Aronszajn tree has a stationary ...
Kuzeljević, Boriša +1 more
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L-spaces and the P-ideal dichotomy
Acta Mathematica Hungarica, 2009\textit{S. Todorčević} [Partition problems in topology. Contemporary Mathematics, 84. Providence, RI: American Mathematical Society (AMS) (1989; Zbl 0659.54001)] proved that his principle (\(\mathcal K\)) implies that there are no strong \(L\)-spaces of countable tightness; more precisely, \((*)\): a regular space with all finite powers Lindelöf ...
Mildenberger, Heike, Zdomskyy, Lyubomyr
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p-Ideals in p-Regular Semirings
Southeast Asian Bulletin of Mathematics, 2003Let \((S,+,\cdot)\) be an additively commutative semiring. If \((S,+)\) is an inverse semigroup, \(S\) is called inversive. The semiring \(S\) is \(p\)-regular if for each \(a\in S\) there is some \(b\in S\) such that \(na+aba=(n+1)a\) for some natural number \(n\). If \(S\) is inversive, this condition reduces to \(a+aba = 2a\). An ideal \(I\) of \(S\)
Mukhopadhyay, P. +2 more
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p-ideals of BCI-algebras based on neutrosophic N -structures
Journal of Intelligent & Fuzzy Systems, 2021In this paper, neutrosophic N -structures are applied to p-ideals of BCI-algebras. In fact, we introduce the notion of neutrosophic N -p-ideal in BCI-algebras, and investigate several properties. Further, we present characterizations of neutrosophic N -p-ideal.
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Epimorphic Image of P-Ideals of P-Algebras
SUST Journal of Science and Technology (SUST JST), 2020In this paper, we study p-ideals of a p-algebra. We prove that epimorphic image of a p-ideal is a p-ideal. Our main result is that the lattice of p-ideals of a p-algebra L is isomorphic to the lattice of ideals of the Boolean algebra formed by the closed elements of L.
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P-ideal dichotomy and Tukey order
Fundamenta MathematicaeSummary: The P-ideal dichotomy is a simple and natural principle about P-ideals of countable subsets of some index set. It has proven to be particularly useful in problems involving sequential convergence in topological spaces. This is explored further here with the aim to relate it to the theory of Tukey reductions of directed sets.
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Soft set theory applied to p-ideals of BCI-algebras related to fuzzy points
Neural Computing and Applications, 2010The notions of $$(\overline{\in}, \overline{\in} \vee \overline{\hbox{q}})$$ -fuzzy p-ideals and fuzzy p-ideals with thresholds related to soft set theory are discussed. Relations between $$(\overline{\in}, \overline{\in} \vee \overline{\hbox{q}})$$ -fuzzy ideals and $$(\overline{\in}, \overline{\in} \vee \overline{\hbox{q}})$$ -fuzzy p-ideals are ...
Young Bae Jun +2 more
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