Rings and partly ordered systems

DOI10.1007/BF01111015zbMath0149.27702MaRDI QIDQ2525194

Takeo Nakano

Publication date: 1967

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/170786

zbMATH Keywords

group theory

Mathematics Subject Classification ID

Integral domains (13G05) Ordered groups (06F15) Ordered rings, algebras, modules (06F25)

Related Items (15)

On \(P\)-hyperlattices and their distributivity ⋮ Lattices Derived from Hyperlattices ⋮ Unnamed Item ⋮ On Birkhoff's common abstraction problem ⋮ A realization of $d$-groups ⋮ Locally compact multivector extensions. ⋮ Unnamed Item ⋮ Unnamed Item ⋮ The \(L\)-fuzzy Nakano hypergroup ⋮ On a common abstraction of Boolean rings and lattice ordered groups II ⋮ On a common abstraction of Boolean rings and lattice ordered groups. I ⋮ Unnamed Item ⋮ A note on the congruences of the Nakano superlattice and some properties of the associated quotients ⋮ A Realization of Hyperrings ⋮ Some remarks on congruences obtained from the \(L\)-fuzzy Nakano hyperoperation

Cites Work

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• Total lattices of convex sets and of linear spaces
• The generalization of the valuation theory
• Die Erweiterung halbgeordneter Gruppen zu Verbandsgruppen
• Notes on the foundations of lattice theory. II
• Über Bewertungen mit halbgeordneter Wertgruppe
• Partially ordered sets and the Schreier refinement theorem, II. Theory of multistructures
• On subdirect sums of ordered groups
• Über Strukturverbände von Verbandsgruppen
• Spherical Geometries and Multigroups
• Projective Geometries as Multigroups
• Descriptive Geometries as Multigroups
• Über halbgeordnete Gruppen

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