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.
Original languageEnglish
Article number107091
JournalJournal of Pure and Applied Algebra
Volume226
Issue number11
Early online date15 Mar 2022
DOIs
Publication statusE-pub ahead of print - 15 Mar 2022

Keywords

  • Heap
  • Module
  • Tensor product
  • Truss

ASJC Scopus subject areas

  • Algebra and Number Theory

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