Abstract
We consider a class of rings that combines classes from a theorem of Amitsur and the classes characterized by Hacque. A structure theorem is proved, and we use it to describe left nonsingular Amitsur rings with a finite left Goldie dimension.
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References
S. A. Amitsur, “Rings of quotients and Morita contexts,”J. Alg.,17, 273–298 (1971).
M. Hacque, “Que'lques remarques sur la notion de socle,”Commun. Algebra,10, 1003–1025 (1982).
M. Hacque, “Anneaux fid'element repre'sente's sur leur socle droit,”Commun. Algebra,10, 1027–1072 (1982).
N. Jacobson, “Structure of Rings,”Coll. Publ. Am. Math. Soc.,37, (1964).
Additional information
Translated fromAlgebra i Logika, Vol. 34, No. 2, pp. 190–210, March-April, 1995.
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Pavlov, K.A. Hacque-Amitsur rings. Algebr Logic 34, 101–111 (1995). https://doi.org/10.1007/BF00750163
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DOI: https://doi.org/10.1007/BF00750163