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Heaps of modules and affine spaces

Simion Breaz, Tomasz Brzezinski Orcid Logo, Bernard Rybołowicz, Paolo Saracco Orcid Logo

Annali di Matematica Pura ed Applicata (1923 -), Volume: 203, Issue: 1, Pages: 403 - 445

Swansea University Author: Tomasz Brzezinski Orcid Logo

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DOI (Published version): 10.1007/s10231-023-01369-0

Abstract

A notion of heaps of modules as an affine version of modules over a ring or, more generally, over a truss, is introduced and studied. Basic properties of heaps of modules are derived. Examples arising from geometry (connections, affine spaces) and algebraic topology (chain contractions) are presente...

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Published in: Annali di Matematica Pura ed Applicata (1923 -)
ISSN: 0373-3114 1618-1891
Published: Springer Science and Business Media LLC 2024
Online Access: Check full text

URI: https://cronfa.swan.ac.uk/Record/cronfa64523
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Abstract: A notion of heaps of modules as an affine version of modules over a ring or, more generally, over a truss, is introduced and studied. Basic properties of heaps of modules are derived. Examples arising from geometry (connections, affine spaces) and algebraic topology (chain contractions) are presented. Relationships between heaps of modules, modules over a ring and affine spaces are revealed and analysed.
College: Faculty of Science and Engineering
Funders: The research of S. Breaz is supported by a grant of the Ministry of Research, Innovation and Digitization, CNCS/CCCDI–UEFISCDI, project number PN-III-P4-ID-PCE-2020-0454, within PNCDI III. The research of T. Brzeziński is partially supported by the National Science Centre, Poland, grant no. 2019/35/B/ST1/01115. The research of B. Rybołowicz is supported by the EPSRC grant EP/V008129/1. P. Saracco is a Chargé 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).
Issue: 1
Start Page: 403
End Page: 445

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