Polynomial identities of Banach algebras
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Bahturin, Y.: Identical Relations in Lie Algebras, 1st edn. VNU Scienc Press BV, Utrecht (1987)
Dehn, M.: Über die Grundlagen der projektiven Geometrie und allgemeine Zahlsysteme. Math. Annalen 1, 184–194 (1922)
Drensky, V.: Free Algebras and PI-algebras. Graduate Course in Algebra. Springer, Singapore (1999)
Giambruno, A., Zaicev M.: Polynomial identities and asymptotic methods. Math. Surveys Monographs. Vol 122, AMS, Providence, RI (2005)
Grabiner, S.: The nilpotency of Banach nil algebras. Proc. Amer. Math. Soc. 21, 510 (1969)
Jacobson, N.: Theory of Rings [Russian translation]. Izd. Inostr. Lit, Moscow (1947)
Jacobson, N.: PI-algebras. Ring theory Proceedings of Conference, vol. 7, pp 1–30, University of Oklahoma, Norman, Okla (1973)
Jamiołkowski, A.: On applications of PI-algebras in the analysis of quantum channels. Int. J. Quantum Inf. 10(8), 1–13 (2012)
Kaplansky, I.: Set Theory and Metric Spaces, Allyn and Bacon Series in Advanced Mathematics. Mass, Boston (1972)
Koshlukov, P.: Algebras with polynomial identities. Mat. Contemp. 16, 137–168 (1999)
Malcev, A.I.: On algebras defined by identities (Russian). Mat. Sb. 26, 19–23 (1950)
Naimark, M. A.: Normed algebra, Wolters-Noordhoff, 3rd edn. (1972)
Rowen, L.H.: Polynomial Identities in Ring Theory. Academic Press, New York (1980)
Vasilovsky, S.Y.: The basis of identities of a three-dimensional simple Lie algebra over an infinite field. Algebra Logic 28, 355–368 (1989)