Generalized polynomial identities and pivotal monomials
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- by S. A. Amitsur
- Trans. Amer. Math. Soc. 114 (1965), 210-226
- DOI: https://doi.org/10.1090/S0002-9947-1965-0172902-9
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References
- S. A. Amitsur, Rings with a pivotal monomial, Proc. Amer. Math. Soc. 9 (1958), 635–642. MR 96705, DOI 10.1090/S0002-9939-1958-0096705-0
- M. P. Drazin, A generalization of polynomial identities in rings, Proc. Amer. Math. Soc. 8 (1957), 352–361. MR 84495, DOI 10.1090/S0002-9939-1957-0084495-6
- Nathan Jacobson, Structure of rings, American Mathematical Society Colloquium Publications, Vol. 37, American Mathematical Society, 190 Hope Street, Providence, R.I., 1956. MR 0081264
- J. Levitzki, A theorem on polynomial identities, Proc. Amer. Math. Soc. 1 (1950), 334–341. MR 35758, DOI 10.1090/S0002-9939-1950-0035758-5 D. E. Littlewood, Identical relations satisfied in an algebra, Proc. London Math. Soc. (2) 32 (1931), 312-320. A. R. Richardson, Equations over a division algebra, Messenger of Math. 57 (1928), 1-6.
- Oystein Ore, Theory of non-commutative polynomials, Ann. of Math. (2) 34 (1933), no. 3, 480–508. MR 1503119, DOI 10.2307/1968173
Bibliographic Information
- © Copyright 1965 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 114 (1965), 210-226
- MSC: Primary 16.49
- DOI: https://doi.org/10.1090/S0002-9947-1965-0172902-9
- MathSciNet review: 0172902