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arxiv: 1708.04580 · v1 · pith:7ZYTPUUEnew · submitted 2017-08-12 · 🧮 math.RA

Gr\"obner-Shirshov bases for associative conformal modules

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keywords conformalalgebraassociativemodulesbasesmoduleobner-shirshovvirasoro
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We construct free modules over an associative conformal algebra. We establish Composition-Diamond lemma for associative conformal modules. As applications, Gr\"obner-Shirshov bases of the Virasoro conformal module and module over the semidirect product of Virasoro conformal algebra and current algebra are given respectively.

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