Vector spaces with valuations

DOI10.1016/0021-8693(75)90033-2zbMath0318.15002OpenAlexW2084077601MaRDI QIDQ1222213

László Fuchs

Publication date: 1975

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-8693(75)90033-2

Mathematics Subject Classification ID

Homological and categorical methods for abelian groups (20K40) Vector spaces, linear dependence, rank, lineability (15A03) Ordered topological linear spaces, vector lattices (46A40)

Related Items

Valuated vector spaces, Kurepa's hypothesis and Abelian \(p\)-groups, Slenderness, completions, and duality for primary Abelian groups, Filtered modules over discrete valuation domains, On valuation independence and defectless extensions of valued fields, László Fuchs' 70th birthday, An equivalence for categories of modules over a complete discrete valuation domain, Primary abelian groups admitting only small homomorphisms, Combinatorial properties of nonarchimedean convex sets, Quotients of Valuated Vector Spaces, The development of the theory of \(p\)-groups., An Isomorphism Theorem for Valuated Vector Spaces, Generalizations of fully transitive and valuated abelian \(p\)-groups, The projective dimension of valuated vector spaces, Some results on \(\omega^\mu\)-metric spaces, Generalizations of primary Abelian \(C_\alpha\) groups., Endomorphism rings of valued vector spaces, On separable \(\widetilde p^\alpha\)-bounded primary Abelian groups., Realization theorems for valuated \(p^n\)-socles., An application of set theory to \(\omega+n\)-totally \(p^{\omega+n}\)-projective primary Abelian groups., The structure of c-decomposable p^w+n-projective abelian p-groups, Ultrafilters and abelian groups, A Class of Primary Abelian Groups Characterized by Its Socles, n-Summable Valuatedpⁿ-Socles and Primary Abelian Groups, ALMOST TOTALLY INJECTIVE p-GROUPS, Valuated groups, Abelian \(p\)-groups with no invariants, Algebraic entropy for Abelian groups, On almost totally injective p-groups and cotorsion groups, On singular compactness, On the theory and classification of Abelian \(p\)-groups, Modules, Extending homomorphisms on the socles of primary abelian groups

Cites Work

• Untersuchungen zur arithmetischen Theorie der Körper. (Die Theorie der Teilbarkeit in allgemeinen Körpern. I-III.)
• Maximality and Ultracompleteness in Normed Modules
• Catégories d'espaces de Banach ultramétriques
• Espaces de Banach non archimédiens
• Summands of Separable Abelian Groups: Dedicated to Paul Turán on his 60th Birthday
• Embedding Theorems for Abelian Groups with Valuations
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item