Abstract
In an earlier paper Berele and Regev associated to each p.i. algebraA a sequence of algebrasU k,t(A) which proved useful in studying the identities ofA. We now describeU k,t(A) as a universal object and describe how to recoverA from theU k,t(A).
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S. A. Amitsur and A. Regev,P.I. algebras and their cocharacters, J. Algebra78 (1982), 248–254.
A. Berele,Homogeneous polynomial identities, Isr. J. Math.42 (1982), 258–273.
A. Berele and A. Regev,Applications of Hook Young diagrams to P.I. algebras, J. Algebra83 (1983), 559–567.
A. Berele and A Regev,Hook Young diagrams with applications to combinatorics and to representations of Lie superalgebras, Adv. Math., to appear.
A. R. Kemer,Decomposition of varieties, Alg. i Logika20 (1980), 384–484.
A. R. Kemer,Capelli identities and nilpotency of the radial of finitely generated P.I.-algebra, Dokl. Akad. Nauk SSR255 (1980), 793–797.
A. R. Kemer,Nonmatrix varieties, Alg. i Logika19 (1980), 255–283.
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Berele, A. Magnum P.I.. Israel J. Math. 51, 13–19 (1985). https://doi.org/10.1007/BF02772954
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DOI: https://doi.org/10.1007/BF02772954