An algebraic version of the Strong Black Box

• Datum: 2018
• Hauptverfasser: Göbel, Rüdiger, Wallutis, Simone L.
• Format: Artikel
• Sprache: English
• Veröffentlicht: Lugansk National Taras Shevchenko University 2018
• Schlagworte: prediction principle; Black Box; endomorphism algebra; \(E\)-ring; \(E(R)\)-algebra; ultra-cotorsion-free module; 03E75; 20K20; 20K30; 13C99
• Online Zugang: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/962
• Назва журналу: Algebra and Discrete Mathematics

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...