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Heaps of modules and affine spaces
Annali di Matematica Pura ed Applicata (1923 -)
Swansea University Author: Tomasz Brzezinski
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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...
Published in: | Annali di Matematica Pura ed Applicata (1923 -) |
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ISSN: | 0373-3114 1618-1891 |
Published: |
Springer Science and Business Media LLC
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Online Access: |
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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. |
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College: |
Faculty of Science and Engineering |
Funders: |
EPSRC, EP/V008129/1 |