@article{30c462d310564ab292c06ae451fcfccb,
title = "On functors between categories of modules over trusses",
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.",
keywords = "Heap, Module, Tensor product, Truss",
author = "Tomasz Brzezi{\'n}ski and Bernard Rybo{\l}owicz and Paolo Saracco",
note = "Funding Information: The research of Bernard Rybo{\l}owicz was mostly supported by the Swansea University Research Excellence Scholarship (SURES) . This author is supported by the EPSRC research grant EP/V008129/1 . Funding Information: The research of Tomasz Brzezi?ski is partially supported by the National Science Centre, Poland, grant no. 2019/35/B/ST1/01115. Paolo Saracco is a Charg? de Recherches of the Fonds de la Recherche Scientifique - FNRS and a member of the ?National Group for Algebraic and Geometric Structures and their Applications? (GNSAGA-INdAM). He would like to thank the members of the Department of Mathematics of the Swansea University for their warm hospitality during his stay in fall 2019. The research of Bernard Rybo?owicz was mostly supported by the Swansea University Research Excellence Scholarship (SURES). This author is supported by the EPSRC research grant EP/V008129/1. Funding Information: The research of Tomasz Brzezi{\'n}ski is partially supported by the National Science Centre , Poland, grant no. 2019/35/B/ST1/01115 . Publisher Copyright: {\textcopyright} 2022 Elsevier B.V.",
year = "2022",
month = nov,
doi = "10.1016/j.jpaa.2022.107091",
language = "English",
volume = "226",
journal = "Journal of Pure and Applied Algebra",
issn = "0022-4049",
publisher = "Elsevier",
number = "11",
}