Eulerian polynomial identities on matrix rings

DOI10.1006/JABR.1993.1207zbMath0802.16015OpenAlexW1964394099MaRDI QIDQ1320251

Zsolt Tuza, Gábor Révész, Jenő Szigeti

Publication date: 24 October 1994

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jabr.1993.1207

zbMATH Keywords

Amitsur-Levitzki theoremmultilinear identityCapelli identitiesEulerian directed graph

Mathematics Subject Classification ID

Other kinds of identities (generalized polynomial, rational, involution) (16R50) Matrix equations and identities (15A24) (T)-ideals, identities, varieties of associative rings and algebras (16R10) Eulerian and Hamiltonian graphs (05C45) Semiprime p.i. rings, rings embeddable in matrices over commutative rings (16R20)

Related Items (11)

On permanental identities over matrix rings ⋮ Criteria for vanishing of Eulerian polynomials on \(n\times n\) matrices ⋮ Eulerian trace identities ⋮ New identities for 3 × 3 Matrices ⋮ A graph theoretical equivalence for Amitsur–Levitzki theorem ⋮ Eulerian* -polynomial identities on matrix algebras ⋮ The minimal degree standard identity on \(M_nE^2\) and \(M_nE^3\) ⋮ To Chang Theorem. II ⋮ PI INCIDENCE ALGEBRAS AND CAPELLI POLYNOMIALS ⋮ Path decompositions of digraphs and their applications to Weyl algebra ⋮ On the theorem of Amitsur-Levitzki.

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