Heaps of modules and affine spaces

Breaz, Simion; Brzezinski, Tomasz; Rybołowicz, Bernard; Saracco, Paolo

doi:10.1007/s10231-023-01369-0

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Heaps of modules and affine spaces

Simion Breaz, Tomasz Brzezinski

, Bernard Rybołowicz, Paolo Saracco

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

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...

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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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first_indexed	2023-09-13T10:55:00Z
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spelling	v2 64523 2023-09-13 Heaps of modules and affine spaces 30466d840b59627325596fbbb2c82754 0000-0001-6270-3439 Tomasz Brzezinski Tomasz Brzezinski true false 2023-09-13 MACS 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. Journal Article Annali di Matematica Pura ed Applicata (1923 -) 203 1 403 445 Springer Science and Business Media LLC 0373-3114 1618-1891 1 2 2024 2024-02-01 10.1007/s10231-023-01369-0 COLLEGE NANME Mathematics and Computer Science School COLLEGE CODE MACS Swansea University SU Library paid the OA fee (TA Institutional Deal) 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). 2024-08-22T11:43:14.9386426 2023-09-13T11:43:47.6803640 Faculty of Science and Engineering School of Mathematics and Computer Science - Mathematics Simion Breaz 1 Tomasz Brzezinski 0000-0001-6270-3439 2 Bernard Rybołowicz 3 Paolo Saracco 0000-0001-5693-7722 4 64523__28527__284c885119694a3d8c1ed5bcde3be553.pdf 64523.pdf 2023-09-13T11:53:57.4615259 Output 671881 application/pdf Version of Record true This article is licensed under a Creative Commons Attribution 4.0 International License (CC-BY). true eng http://creativecommons.org/licenses/by/4.0/
title	Heaps of modules and affine spaces
spellingShingle	Heaps of modules and affine spaces Tomasz Brzezinski
title_short	Heaps of modules and affine spaces
title_full	Heaps of modules and affine spaces
title_fullStr	Heaps of modules and affine spaces
title_full_unstemmed	Heaps of modules and affine spaces
title_sort	Heaps of modules and affine spaces
author_id_str_mv	30466d840b59627325596fbbb2c82754
author_id_fullname_str_mv	30466d840b59627325596fbbb2c82754_***_Tomasz Brzezinski
author	Tomasz Brzezinski
author2	Simion Breaz Tomasz Brzezinski Bernard Rybołowicz Paolo Saracco
format	Journal article
container_title	Annali di Matematica Pura ed Applicata (1923 -)
container_volume	203
container_issue	1
container_start_page	403
publishDate	2024
institution	Swansea University
issn	0373-3114 1618-1891
doi_str_mv	10.1007/s10231-023-01369-0
publisher	Springer Science and Business Media LLC
college_str	Faculty of Science and Engineering
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hierarchy_top_title	Faculty of Science and Engineering
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hierarchy_parent_title	Faculty of Science and Engineering
department_str	School of Mathematics and Computer Science - Mathematics{{{_:::_}}}Faculty of Science and Engineering{{{_:::_}}}School of Mathematics and Computer Science - Mathematics
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description	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.
published_date	2024-02-01T11:43:14Z
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Heaps of modules and affine spaces

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