Ideal theory of right cones and associated rings

DOI10.1006/jabr.1998.7456zbMath0918.20048OpenAlexW2146925279MaRDI QIDQ1276981

Günter Törner, Hans-Heinrich Brungs

Publication date: 20 June 1999

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

Full work available at URL: https://doi.org/10.1006/jabr.1998.7456

zbMATH Keywords

right chain ringscompletely prime idealsidempotent idealsleft cancellative monoidsright cones

Mathematics Subject Classification ID

General structure theory for semigroups (20M10) Ideal theory for semigroups (20M12) Valuations, completions, formal power series and related constructions (associative rings and algebras) (16W60) Ideals in associative algebras (16D25) Ordered groups (06F15)

Related Items (13)

A classification and examples of rank one chain domains ⋮ On weakly semiprime segments of ordered semihypergroups ⋮ Nearrings whose set of \(N\)-subgroups is linearly ordered. ⋮ Uniserial rings of skew generalized power series. ⋮ RightP-Comparable Semigroups ⋮ On right chain ordered semigroups ⋮ On semiprime segments of rings ⋮ Locally Invariant and Semi-Invariant Right Cones ⋮ Primes and Right Ideals in Right Cones ⋮ I-COMPACT RIGHT CHAIN DOMAINS ⋮ On the number of injective indecomposable modules ⋮ On right chain semigroups. ⋮ A classification of prime segments in simple artinian rings

Cites Work

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• Bewertungen nicht kommutativer Körper
• Über die Bewertungen endlich dimensionaler Divisionsalgebren
• A structure theorem for right invariant right holoids
• Chain domains
• Chain rings and prime ideals
• Every algebraic chain is the congruence lattice of a ring
• Right chain domains with prescribed value holoid
• Valuation methods in division rings
• A counter-example in ring theory and homological algebra
• Relatively convex subgroups of orderable groups
• Contribution à l'étude des groupes ordonnés
• On the Embedding of Rings in Skew Fields
• AN EXAMPLE OF A CHAIN PRIME RING WITH NILPOTENT ELEMENTS
• On a Question of Frege's about Right-Ordered Groups
• Chain rings and valuation semigroups
• On the theory of inverse semigroups and generalized groups
• Cones in groups
• Right invariant right holoids
• Prime Segments of Skew Fields
• Embeddings in Division Rings
• On Ordered Division Rings

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