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.

On functors between categories of modules over trusses

Saracco P.
2022-01-01

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.
2022
226
11
107091
107091
https://arxiv.org/abs/2006.16624
https://doi.org/10.1016/j.jpaa.2022.107091
Heap; Module; Tensor product; Truss
Brzezinski T.; Rybolowicz B.; Saracco P.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2318/1858147
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