منابع مشابه
On Perturbations of Ideal Complements
Let F[x] be the space of polynomials in d variables, let GN be the Grassmannian of N -dimensional subspaces of F[x] and let JN stand for the family of all ideals in F[x] of codimension N . For a given G ∈ GN we let JG := {J ∈ JN : J ∩G = {0}} Is it true, that (with appropriate topology on JN ) the set JG is dense in JN? In general the answer is ”No”. What is even more surprising, that there are...
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The ideal extensions of semigroups—without order—have been first considered by Clifford (1950). In this paper, we give the main theorem of the ideal extensions for ordered sets. If P , Q are disjoint ordered sets, we construct (all) the ordered sets V which have an ideal P ′ which is isomorphic to P , and the complement of P ′ in V is isomorphic toQ. Conversely, we prove that every extension of...
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We show that the ideal sets of an argumentation framework can be characterized by two kinds of logical models: ideal models (2-valued logical models) and p-stable models (2-valued logical models). We also show that the maximal ideal set of an argumentation framework can be characterized by the well-founded+ model (a 3-valued logical model). These results argue for the logical foundations of the...
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ژورنال
عنوان ژورنال: Journal of Commutative Algebra
سال: 2011
ISSN: 1939-2346
DOI: 10.1216/jca-2011-3-3-295