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arXiv · 2006.16624

On functors between categories of modules over trusses

Tomasz Brzeziński·Bernard Rybołowicz·Paolo Saracco
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Abstract

Categorical aspects of the theory of modules over trusses are studied. Tensor product of modules over trusses is defined and its existence established. In particular, it is shown that bimodules over trusses form a monoidal category. Truss versions of the Eilenberg-Watts theorem and Morita equivalence are formulated. Projective and small-projective modules over trusses are defined and their properties studied.

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Tomasz Brzeziński, Bernard Rybołowicz, Paolo Saracco. 2022-03-30. On functors between categories of modules over trusses. https://doi.org/10.1016/j.jpaa.2022.107091

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