Artin's Equivalence Generalized

• Autores: László Fuchs, Raquel Reis
• Localización: Algebra universalis, ISSN 0002-5240, Vol. 59, Nº. 3-4, 2008, págs. 311-321
• Idioma: inglés
• DOI: 10.1007/s00012-008-2057-1
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• Resumen

  • Let S be a residuated commutative monoid. Artin�s classical equivalence is related to a semigroup homomorphism of S onto the group of divisorial elements in case these form a group. An equivalence relation is considered that is more general than Artin�s equivalence. We introduce relatively divisorial elements and proceed to investigate conditions which ensure that S admits a homomorphism onto the semigroup of relatively divisorial elements when this semigroup is a Clifford monoid.