Polynomial identities of incidence algebras
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- by Robert B. Feinberg PDF
- Proc. Amer. Math. Soc. 55 (1976), 25-28 Request permission
Abstract:
In this paper we determine the polynomial identities satisfied by incidence algebras. One of our results is logically equivalent to the Amitsur-Levitzki Theorem on the polynomial identities satisfied by ${K_n}$, the algebra of of $n \times n$ matrices over a field $K$.References
- Peter Doubilet, Gian-Carlo Rota, and Richard Stanley, On the foundations of combinatorial theory. VI. The idea of generating function, Proceedings of the Sixth Berkeley Symposium on Mathematical Statistics and Probability (Univ. California, Berkeley, Calif., 1970/1971) Univ. California Press, Berkeley, Calif., 1972, pp. 267–318. MR 0403987 R. B. Feinberg, Characterization of incidence algebras, (in preparation).
- Donald S. Passman, Infinite group rings, Pure and Applied Mathematics, vol. 6, Marcel Dekker, Inc., New York, 1971. MR 0314951
Additional Information
- © Copyright 1976 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 55 (1976), 25-28
- MSC: Primary 16A38
- DOI: https://doi.org/10.1090/S0002-9939-1976-0404321-4
- MathSciNet review: 0404321