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QE rings in characteristic p n
Journal of Symbolic Logic 48 (1):140-162 (1983)
Abstract
We show that all QE rings of prime power characteristic are constructed in a straightforward way out of three components: a filtered Boolean power of a finite field, a nilpotent Jacobson radical, and the ring Z p n or the Witt ring W 2 (F 4 ) (which is the characteristic four analogue of the Galois field with four elements)Other Versions
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C. Berline and G. Cherlin. QE rings in characteristic p. Logic year 1979–80, The University of Connecticut, USA, edited by M. Lerman, J. H. Schmerl, and R. I. Soare, Lecture notes in mathematics, vol. 859, Springer-Verlag, Berlin, Heidelberg, and New York, 1981, pp. 16–31. - C. Berline and G. Cherlin. QE nilrings of prime characteristic. Bulletin de la Société Mathématique de Belgique, ser. B vol. 33, pp. 3–17. - Chantal Berline and Gregory Cherlin. QE rings in characteristic pn. The journal of symbolic logic, vol. 48, pp. 140–162. - D. Saracino and C. Wood. QE commutative nilrings. The journal of symbolic logic, vol. 49, pp. 644–651.M. Boffa - 1985 - Journal of Symbolic Logic 50 (4):1080-1081.
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Citations of this work
TERLOUW, J., Reduction of higher type levels by means of an ordinal analysis of finite terms WOOD, C., see SARACINO, D.D. Saracino - 1985 - Annals of Pure and Applied Logic 28 (1):322.
Homogeneous finite rings in characteristic 2n.Dan Saracino & Carol Wood - 1988 - Annals of Pure and Applied Logic 40 (1):11-28.
Finite QE rings in characteristic p 2.Dan Saracino & Carol Wood - 1985 - Annals of Pure and Applied Logic 28 (1):13-31.
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