Duality for Multimodules
Category Theory
2025-08-28 v1 Rings and Algebras
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.
Keywords
Cite
@article{arxiv.2111.02184,
title = {Duality for Multimodules},
author = {Paolo Bertozzini and Roberto Conti and Chatchai Puttirungroj},
journal= {arXiv preprint arXiv:2111.02184},
year = {2025}
}
Comments
LaTex2e, 27 pages