نتایج جستجو برای: polynomial identities
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In this paper, we study Novikov algebras satisfying nontrivial identities. We show that a algebra over field of zero characteristic satisfies identity some unexpected “universal” identities, in particular, right associator nilpotence, and nilpotence the commutator ideal. This, implies if only it is Lie-solvable. also establish any system identities follows from finitely many them, same holds fo...
We examine a pair of Rogers-Ramanujan type identities of V. A. Lebesgue, and give polynomial identities for which the original identities are limiting cases. The polynomial identities turn out to be q-analogs of the Pell sequence. Finally, we provide combinatorial interpretations for the identities.
We present several new polynomial identities associated with matroids and geometric lattices, and relate them to formulas for the characteristic polynomial and the Tutte polynomial. The identities imply a formula for the L^ e numbers of complex hyperplane arrangements.
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