Linear minimal rings and algebras. (English. Russian original) Zbl 1285.03035
Algebra Logic 51, No. 2, 105-110 (2012); translation from Algebra Logika 51, No. 2, 159-167 (2012).
Summary: The concept of linear minimality for rings and algebras is introduced. It is proved that a linear minimal ring is a linear minimal central algebra over a field of definable scalars.
MSC:
| 03C60 | Model-theoretic algebra |
| 03C45 | Classification theory, stability, and related concepts in model theory |
| 17A99 | General nonassociative rings |
References:
| [1] | B. Poizat, Groupes Stables, Villeurbanne, France, Nur al-mantiq wal ma’rifah (1987). |
| [2] | N. Jacobson, Lie Algebras, Interscience, New York (1962). |
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