Erscheinungsdatum: 27.05.2017, Medium: Taschenbuch, Einband: Kartoniert / Broschiert, Titel: Almost b-Schreier domains, Autor: Farooq, Asima, Verlag: LAP Lambert Academic Publishing, Sprache: Englisch, Rubrik: Mathematik // Sonstiges, Seiten: 108, Informationen: Paperback, Gewicht: 177 gr, Verkäufer: averdo
Almost Schreier domain is an extension of class of pre Schreier domains and b-operation is a type of star operation which is defined for an ideal "A" as an intersection of "AV", where V runs over all valuation over rings of the domain. Here we have studied a domain which is integrally closed and satisfies Almost Schreier property on its b-invertible ideals and call it an almost b- Schreier domain.
As an extension of the class of (pre)-Schreier domains introduced by P.M. Cohn and M. Zafrullah, we introduce and study almost-Schreier domains. We show that an almost-Schreier domain has torsion t-class group, that a local (Noetherian) one-dimensional domain is almost-Schreier and that the polynomial ring with coefficients in an integrally closed almost-Schreier domain is almost-Schreier. Then we convert a great part of the material about almost-Schreier domains in the language of monoids, that is, we introduce and study almost-Schreier monoids.