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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 -)

Swansea University Author: Tomasz Brzezinski Orcid Logo

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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 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
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: EPSRC, EP/V008129/1