منابع مشابه
Multivariate polynomial interpolation: Aitken-Neville sets and generalized principal lattices
A suitably weakened definition of generalized principal lattices is shown to be equivalent to the recent definition of Aitken-Neville sets. The recent paper [CGS08] explores the relationship of Aitken-Neville sets, introduced in [SX], to generalized principal lattices, introduced in [CGS06]. Both are subsets X of F (with F equal to R or C) that are n-correct for some n in the sense that, with Π...
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Let D be the system of all distributive lattices and let D0 be the system of all L ∈ D such that L possesses the least element. Further, let D1 be the system of all infinitely distributive lattices belonging to D0. In the present paper we investigate the radical classes of the systems D, D0 and D1.
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We call a local vector lattice any vector lattice with a distinguished positive strong unit and having exactly one maximal ideal (its radical). We provide a short study of local vector lattices. In this regards, some characterizations of local vector lattices are given. For instance, we prove that a vector lattice with a distinguished strong unit is local if and only if it is clean with non no-...
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ژورنال
عنوان ژورنال: Czechoslovak Mathematical Journal
سال: 1996
ISSN: 0011-4642,1572-9141
DOI: 10.21136/cmj.1996.127274