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arxiv: 1612.07748 · v1 · pith:F75O247Lnew · submitted 2016-12-22 · 🧮 math.RA

Identities for the Lie algebra gl(2) over an infinite field of characteristic two

classification 🧮 math.RA
keywords identitiesalgebracharacteristicfieldgeneratingidealinfinitepolynomial
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In 1970 Vaughan-Lee established that over an infinite field of characteristic two the ideal T[gl(2)] of all polynomial identities for the Lie algebra gl(2) is not finitely generated as a T-ideal. But a generating set for this ideal of polynomial identities was not found. We establish some generating set for the T-ideal T[gl(2)].

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