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.
Duality for multimodules / Bertozzini, Paolo; Conti, Roberto; Puttirungroj, Chatchai. - In: INDAGATIONES MATHEMATICAE. - ISSN 0019-3577. - 33:4(2022), pp. 768-800. [10.1016/j.indag.2022.02.005]
Duality for multimodules
Paolo Bertozzini;Roberto Conti;
2022
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.File allegati a questo prodotto
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