Semiperfect countable C-separative C-finite semigroups.

Título inglés	Semiperfect countable C-separative C-finite semigroups.
Título español	Semigrupos C-finito C-separable de recuento semiperfecto.
Autor/es	Bisgaard, Torben Maack
Organización	Frederiksberg, Dinamarca
Revista	0010-0757
Publicación	2001, 52 (1): 55-73, 32 Ref.
Tipo de documento	articulo
Idioma	Inglés
Resumen inglés	Semiperfect semigroups are abelian involution semigroups on which every positive semidefinite function admits a disintegration as an integral of hermitian multiplicative functions. Famous early instances are the group on integers (Herglotz Theorem) and the semigroup of nonnegative integers (Hamburger's Theorem). In the present paper, semiperfect semigroups are characterized within a certain class of semigroups. The paper ends with a necessary condition for the semiperfectness of a finitely generated involution semigroup, a condition which has since been found to be also sufficient.
Clasificación UNESCO	120213
Palabras clave español	Análisis armónico ; Semigrupos ; Aplicación involutiva
Código MathReviews	MR1833086
Código Z-Math	Zbl 0996.43008
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