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On functors between categories of modules over trusses

Tomasz Brzezinski Orcid Logo, Bernard Rybołowicz, Paolo Saracco

Journal of Pure and Applied Algebra, Volume: 226, Issue: 11, Start page: 107091

Swansea University Author: Tomasz Brzezinski Orcid Logo

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DOI (Published version): 10.1016/j.jpaa.2022.107091

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 equivalenc...

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Published in: Journal of Pure and Applied Algebra
ISSN: 0022-4049
Published: Elsevier BV 2022
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URI: https://cronfa.swan.ac.uk/Record/cronfa59386
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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.
College: Faculty of Science and Engineering
Funders: National Science Centre (Poland), FNRS (Belgium), GNSAGA-INdAM (Italy), EPSRC (UK)
Issue: 11
Start Page: 107091

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