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Algebra and Discrete Mathematics, 2003, выпуск 3, страницы 7–45
(Mi adm382)
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Эта публикация цитируется в 10 научных статьях (всего в 10 статьях)
An algebraic version of the Strong Black Box
Rüdiger Göbel, Simone L. Wallutis FB 6 – Mathematik, Universität Duisburg-Essen, 45117 Essen, Germany
Аннотация:
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.
Ключевые слова:
prediction principle, Black Box, endomorphism algebra, $E$-ring, $E(R)$-algebra, ultra-cotorsion-free module.
Поступила в редакцию: 23.05.2003 Исправленный вариант: 13.11.2003
Образец цитирования:
Rüdiger Göbel, Simone L. Wallutis, “An algebraic version of the Strong Black Box”, Algebra Discrete Math., 2003, no. 3, 7–45
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/adm382 https://www.mathnet.ru/rus/adm/y2003/i3/p7
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