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On the quotient of affine semigroups by a positive integer

Year: 2024
Type: article
Abstract: This work delves into the quotient of an affine semigroup by a positive integer, exploring its intricate properties and broader implications. We unveil an associated tree that serves as a valuable tool for further analysis. Moreover, we successfully generalize several key irreducibility results, extending their applicability to the more general class of $$\mathcal {C}$$ C -semigroup quotients. To shed light on these concepts, we introduce the novel notion of an arithmetic variety of affine semigroups, accompanied by illuminating examples that showcase its power.
DOI: 10.1007/s11587-024-00915-z
Language: English
Open Access status: hybrid
Estimated APC paid: $3,090
Funders: Ministerio de Ciencia e Innovación, Universidad de Cádiz, Junta de Andalucía, European Regional Development Fund, Agencia Estatal de Investigación, Instituto Universitario de Investigación para el Desarrollo Social Sostenible, Universidad de Cádiz
Awards: G1157393932, G1622782223, G195499351, G2262748287, G3378729657, G3480869486, G3740094030, G425668148, G4509960801, G451917667, G459375866, G490086687, G5967599077, G6296285101, G7084143925, G8174551696, G8719312630
OpenAlex ID: W4405096365
FWCI:
Cites: 22
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Related to: 10