Heaps of modules and affine spaces

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

doi:10.1007/s10231-023-01369-0

Journal article 203 views 26 downloads

Heaps of modules and affine spaces

Simion Breaz, Tomasz Brzezinski

, Bernard Rybołowicz, Paolo Saracco

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...

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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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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 SMA 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 -) Springer Science and Business Media LLC 0373-3114 1618-1891 0 0 0 0001-01-01 10.1007/s10231-023-01369-0 http://dx.doi.org/10.1007/s10231-023-01369-0 COLLEGE NANME Mathematics COLLEGE CODE SMA Swansea University SU Library paid the OA fee (TA Institutional Deal) EPSRC, EP/V008129/1 2023-09-18T10:10:40.9710606 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, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/. 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 -)
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_id	facultyofscienceandengineering
hierarchy_top_title	Faculty of Science and Engineering
hierarchy_parent_id	facultyofscienceandengineering
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
url	http://dx.doi.org/10.1007/s10231-023-01369-0
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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	0001-01-01T10:10:42Z
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score	11.01409

Heaps of modules and affine spaces

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