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Beschreibung
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.
Details
| Verlag | LAP LAMBERT Academic Publishing |
| Ersterscheinung | 30. Dezember 2016 |
| Maße | 22 cm x 15 cm x 0.5 cm |
| Gewicht | 125 Gramm |
| Format | Softcover |
| ISBN-13 | 9783330026780 |
| Seiten | 72 |
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