Internal characterizations of lattice-ordered power series fields

DOI10.1007/BF01879735zbMath0866.12006MaRDI QIDQ1922120

R. H. Redfield

Publication date: 6 July 1997

Published in: Periodica Mathematica Hungarica (Search for Journal in Brave)

zbMATH Keywords

power series algebralateral completenessconstruction of lattice-ordered power series fieldsfield familylattice-ordered fieldsupporting collections

Mathematics Subject Classification ID

Ordered sets (06A99) Ordered fields (12J15) Power series rings (13J05)

Cites Work

• Unnamed Item
• Lattice-ordered fields
• Fields of generalized power series
• Rings of generalized power series: Nilpotent elements
• Noetherian rings of generalized power series
• Lattice-ordered fields as convolution algebras
• Rings of generalized power series. II: Units and zero-divisors
• Maximal fields with valuations
• Constructing lattice-ordered fields and division rings
• An algebraically closed field
• Ordering by Divisibility in Abstract Algebras