Duality for Multimodules
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Publication:6382066
DOI10.1016/J.INDAG.2022.02.005zbMATH Open1521.16025arXiv2111.02184MaRDI QIDQ6382066
Chatchai Puttirungroj, Paolo Bertozzini, Roberto Conti
Publication date: 3 November 2021
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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