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An algebraic version of the Strong Black Box

Vernadsky National Library of Ukraine

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Title An algebraic version of the Strong Black Box
 
Creator Göbel, R.
Wallutis, S.L.
 
Description Various versions of the prediction principle called
the “Black Box” are known. One of the strongest versions can
be found in [EM]. There it is formulated and proven in a model
theoretic way. In order to apply it to specific algebraic problems
it thus has to be transformed into the desired algebraic setting.
This requires intimate knowledge on model theory which often prevents algebraists to use this powerful tool. Hence we here want to
present algebraic versions of this “Strong Black Box” in order to
demonstrate that the proofs are straightforward and that it is easy
enough to change the setting without causing major changes in the
relevant proofs. This shall be done by considering three different
applications where the obtained results are actually known.
 
Date 2019-06-17T10:48:19Z
2019-06-17T10:48:19Z
2003
 
Type Article
 
Identifier An algebraic version of the Strong Black Box / R. Göbel, S.L. Wallutis // Algebra and Discrete Mathematics. — 2003. — Vol. 2, № 3. — С. 7–45. — Бібліогр.: 9 назв. — англ.
1726-3255
2000 Mathematics Subject Classification: 03E75, 20K20, 20K30; 13C99.
http://dspace.nbuv.gov.ua/handle/123456789/155695
 
Language en
 
Relation Algebra and Discrete Mathematics
 
Publisher Інститут прикладної математики і механіки НАН України