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arXiv · 2111.02184

Duality for Multimodules

Paolo Bertozzini·Roberto Conti·Chatchai Puttirungroj
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Abstract

Suitable duals of multimodules are introduced and used to provide transposition contravariant right semi-adjunctions (and dualitites under reflexivity). Several additional notions on multimodules are discussed: generalized morphisms and involutions; tensor products and contractions; inner products; first-order differential operators. A construction of an (involutive) colored properad of multimodules is suggested.

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Paolo Bertozzini, Roberto Conti, Chatchai Puttirungroj. 2021-11-03. Duality for Multimodules. https://arxiv.org/abs/2111.02184

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