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Some examples in PI ring theory. (English) Zbl 0263.16010


MSC:

16R10 \(T\)-ideals, identities, varieties of associative rings and algebras
16R20 Semiprime p.i. rings, rings embeddable in matrices over commutative rings
Full Text: DOI

References:

[1] S. A. Amitsur,Rational identities and applications to algebra and geometry, J. Algebra3 (1966), 304–359. · Zbl 0203.04003 · doi:10.1016/0021-8693(66)90004-4
[2] H. Bass,Big projective modules are free, Illinois, J. Math.7 (1963), 24–31. · Zbl 0115.26003
[3] G. M. Bergman,Coproducts, and some universal ring constructions, Trans. Amer. Math. Soc., to appear. · Zbl 0264.16018
[4] G. M. Bergman,Rational relations and rational identities in division rings, to appear. · Zbl 0307.16013
[5] G. M. Bergman and Lance W. Small, PIdegrees and prime ideals, J. Algebra, to appear. · Zbl 0264.16013
[6] P. M. Cohn,Free rings and their relations, Academic Press, 1971. · Zbl 0232.16003
[7] C. Faith,Algebra: Rings, Modules and Categories I, Grundlagen der mathematischer Wissenschaft, Band 190, Springer Verlag, 1973. · Zbl 0266.16001
[8] L. W. Small,An example in PIrings, J. Algebra17 (1971), 434–436. · Zbl 0226.16021 · doi:10.1016/0021-8693(71)90025-1
[9] L. W. Small, (to appear).
[10] N. E. Steenrod,Topology of Fibre Bundles, Princeton University Press. · Zbl 0942.55002
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