Resumen de Artin's Equivalence Generalized

László Fuchs, Raquel Reis

• 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.