dc.contributor.author
ARA, PERE
dc.contributor.author
Goodearl, K.
dc.contributor.author
Nielsen, P.P.
dc.contributor.author
O'meara, K.C.
dc.contributor.author
Pardo, E.
dc.contributor.author
Perera, Francesc
dc.date.accessioned
2026-01-20T10:54:10Z
dc.date.available
2026-01-20T10:54:10Z
dc.date.issued
2025-11-14
dc.identifier.uri
http://hdl.handle.net/2072/489138
dc.description.abstract
Levels of cancellativity in commutative monoids M, determined by stable-rank values in Z(>0)boolean OR { infinity } for elements of M, are investigated. The behavior of the stable ranks of multiples ka , for k is an element of Z(>0 )and alpha is an element of M , is determined. In the case of a refinement monoid M, the possible stable-rank values in archimedean components of M are pinned down. Finally, stable rank in monoids built from isomorphism or other equivalence classes of modules over a ring is discussed.
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dc.description.sponsorship
The first and sixth authors were partially supported by the Spanish State Research Agency (grant no. PID2020-113047GB-I00/AEI/10.13039/501100011033), by the Comissionat per Universitats i Recerca de la Generalitat de Catalunya (grant no. 2017-SGR-1725) and by the Spanish State Research Agency through the Severo Ochoa and Maria de Maeztu Program for Centers and Units of Excellence in R&D (CEX2020-001084-M). The third author was partially supported by the Simons Foundation (grant no. 963435). The fifth author was partially supported by PAI III grant FQM-298 of the Junta de Andalucia, by the DGI-MINECO and European Regional Development Fund, jointly, through grant PID2020-113047GB-I00, and by the grant 'Operator Theory: an interdisciplinary approach', reference ProyExcel 00780, a project financed in the 2021 call for Grants for Excellence Projects, under a competitive bidding regime, aimed at entities qualified as Agents of the Andalusian Knowledge System, in the scope of the Plan Andaluz de Investigacion, Desarrollo e Innovacion (PAIDI 2020), Consejeria de Universidad, Investigacion e Innovacion of the Junta de Andalucia.
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dc.format.extent
42 p.
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dc.publisher
Cambridge University Press
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dc.relation.ispartof
Journal of the Australian Mathematical Society
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dc.rights
© The Author(s), 2025.
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dc.rights
Attribution 4.0 International
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dc.rights.uri
http://creativecommons.org/licenses/by/4.0/
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dc.source
RECERCAT (Dipòsit de la Recerca de Catalunya)
dc.subject.other
commutative monoid
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dc.subject.other
cancellation
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dc.subject.other
stable rank
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dc.subject.other
refinement monoid
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dc.subject.other
separativity
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dc.subject.other
archimedean component
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dc.subject.other
von Neumann regular ring
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dc.subject.other
exchange ring
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dc.title
Levels of cancellation for monoids and modules
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dc.type
info:eu-repo/semantics/article
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dc.description.version
info:eu-repo/semantics/publishedVersion
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dc.identifier.doi
10.1017/S144678872510133X
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dc.rights.accessLevel
info:eu-repo/semantics/openAccess
