Almost-Schreier Domains - Khalid, Waseem
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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.

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Produktbeschreibung
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.
Autorenporträt
Dr. Waseem Khalid has obtained his PhD degree in Mathematics in 2011. Since then he has worked in different institutions in Pakistan as a distinguished faculty member. He is the author of several articles published in reputed journals and is an associate editor of different international journals.