Large normal ideals concentrating on a fixed small cardinality

1996 ◽  
Vol 35 (5-6) ◽  
pp. 341-347 ◽  
Author(s):  
Saharon Shelah
Keyword(s):  
Small Cardinality ◽  
Normal Ideals

Normal ideals in generalized almost distributive fuzzy lattices

2020 ◽  
Author(s):  
S. G. Karpagavalli ◽  
T. Sangeetha
Keyword(s):  
Normal Ideals

scholarly journals Cardinal preserving ideals

1999 ◽  
Vol 64 (4) ◽  
pp. 1527-1551 ◽  
Author(s):  
Moti Gitik ◽  
Saharon Shelah
Keyword(s):  
Consistency Strength ◽  
Normal Ideals

AbstractWe give some general criteria, when κ-complete forcing preserves largeness properties—like κ-presaturation of normal ideals on λ (even when they concentrate on small cofinalities). Then we quite accurately obtain the consistency strength “NSλ is αi-preserving”, for λ > α2.

scholarly journals (Fuzzy) Ideals of BN-Algebras

2015 ◽  
Vol 2015 ◽  
pp. 1-9 ◽  
Author(s):  
Grzegorz Dymek ◽  
Andrzej Walendziak
Keyword(s):  
Fuzzy Set ◽  
Fuzzy Ideal ◽  
One To One ◽  
Normal Ideals

The notions of an ideal and a fuzzy ideal in BN-algebras are introduced. The properties and characterizations of them are investigated. The concepts of normal ideals and normal congruences of a BN-algebra are also studied, the properties of them are displayed, and a one-to-one correspondence between them is presented. Conditions for a fuzzy set to be a fuzzy ideal are given. The relationships between ideals and fuzzy ideals of a BN-algebra are established. The homomorphic properties of fuzzy ideals of a BN-algebra are provided. Finally, characterizations of Noetherian BN-algebras and Artinian BN-algebras via fuzzy ideals are obtained.

Iterated forcing and normal ideals onω 1

1987 ◽  
Vol 60 (3) ◽  
pp. 345-380 ◽  
Author(s):  
Saharon Shelah
Keyword(s):  
Iterated Forcing ◽  
Normal Ideals

scholarly journals Row ideals of certain normal ideals

2005 ◽  
Vol 201 (1-3) ◽  
pp. 240-249
Author(s):  
Mark R. Johnson
Keyword(s):  
Normal Ideals

scholarly journals Rascal finite sets

2004 ◽  
Vol 35 (4) ◽  
pp. 351-358
Author(s):  
Pier Luigi Papini
Keyword(s):  
Hilbert Space ◽  
Dimensional Space ◽  
Infinite Dimensional Space ◽  
Finite Sets ◽  
Infinite Dimensional ◽  
Small Cardinality ◽  
Finite Set ◽  
Point Set

In this paper we consider finite sets in a normed, infinite dimensional space. First, we study the following problem: given a finite set $F$, does there exist a sphere containing $F$ on its surface? We indicate some results and we collect some examples concerning this problem, also for sets of small cardinality. Then we give an example of a three-point set, in a Hilbert space, without incenter.

scholarly journals Overspecification of small cardinalities in reference production

2021 ◽  
Vol 1 ◽  
pp. 298
Author(s):  
Natalia Zevakhina ◽  
Elena Pasalskaya
Keyword(s):  
Experimental Evidence ◽  
Large Set ◽  
Bare Plural ◽  
Small Cardinality ◽  
Small Set ◽  
Human Capacity

This paper presents experimental evidence for overspecification of small cardinalities in refer-ence production. The idea is that when presented with a small set of unique objects (2, 3 or 4), the speaker includes a small cardinality while describing given objects, although it is overin-formative for the hearer (e.g., 'three stars'). On the contrary, when presented with a large set of unique objects, the speaker does not include cardinality in their description – so she produces a bare plural (e.g. 'stars'). The effect of overspecifying small cardinalities resembles the effect of overspecifying color in reference production which has been extensively studied in recent years (cf. Rubio-Fernandez 2016, Tarenskeen et al. 2015). When slides are flashed on the screen one by one, highlighted objects are still overspecified. We argue that one of the main reasons lies in subitizing effect, which is a human capacity to instantaneously grasp small cardinalities.

Normal Ideals and Expected Reduction Numbers#

2005 ◽  
Vol 33 (10) ◽  
pp. 3787-3795 ◽  
Author(s):  
Mark R. Johnson ◽  
Susan E. Morey
Keyword(s):  
Normal Ideals
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