Duality for multimodules

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;...

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Bibliographic Details
Published in:Indagationes mathematicae 2022-07, Vol.33 (4), p.768-800
Main Authors: Bertozzini, Paolo, Conti, Roberto, Puttirungroj, Chatchai
Format: Article
Language:English
Subjects:
Differential equations
Duality
Involution
Involutive colored properad
Multimodule
Operators (mathematics)
Semi-adjunction
Tensors
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Summary: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.
ISSN:0019-3577
1872-6100
DOI:10.1016/j.indag.2022.02.005