Special noncancellative commutative semigroup operations on the real numbers and distribution

DOI10.1007/S10474-022-01285-4OpenAlexW4312071248MaRDI QIDQ2681266

Takeshi Miura, Hirokazu Oka, Sin-Ei Takahasi, Norio Niwa

Publication date: 7 February 2023

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

Full work available at URL: https://doi.org/10.1007/s10474-022-01285-4

zbMATH Keywords

cancellative continuous semigroup operationhomeomorphic isomorphismdistribution law

Mathematics Subject Classification ID

Structure of topological semigroups (22A15) Ordered semigroups and monoids (06F05)

Cites Work

• Semigroup operations distributed by natural noncancellative semigroup operations on the positive real numbers
• A special noncommutative semigroup operation on the real numbers and left or right distribution
• Characterization of distributive semigroup operations on the positive real numbers
• Continuous semigroup structures on \(\mathbb R\), cancellative semigroups and bands
• Semigroup operations distributed by the ordinary multiplication or addition on the real numbers
• Semigroup operations which are distributive over a given semigroup operation on positive real numbers
• Ordered continuous bands on the positive real numbers and distribution

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