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Special Properties of Generalized Power Series

โœ Scribed by P. Ribenboim


Publisher
Elsevier Science
Year
1995
Tongue
English
Weight
745 KB
Volume
173
Category
Article
ISSN
0021-8693

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For an integral domain D and a torsion-free cancellative strictly subtotally ลฝ . ww S, F xx ordered monoid S, F , it is shown that the generalized power series ring D is a Krull domain if and only if D is a Krull domain and S is a Krull monoid.

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We consider families A of summability methods which have similar features โฃ ลฝ . in their construction as the family of Cesaro methods C, โฃ . Abel-type power series methods will be added to those families and inclusion and Tauberian theorems will be proved. The Tauberian and inclusion theorems proved