Semigroup operations distributed by natural noncancellative semigroup operations on the positive real numbers

DOI10.1007/s00233-019-10073-6zbMath1468.22006OpenAlexW2991139795WikidataQ126807702 ScholiaQ126807702MaRDI QIDQ786016

Hirokazu Oka, Takeshi Miura, Sin-Ei Takahasi

Publication date: 12 August 2020

Published in: Semigroup Forum (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00233-019-10073-6

zbMATH Keywords

distributive lawcancellative continuous semigroup operationhomeomorphic isomorphismnoncancellative semigroup operation

Mathematics Subject Classification ID

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

Related Items (3)

Special noncancellative commutative semigroup operations on the real numbers and distribution ⋮ Homeomorphism groups on the positive real numbers defined by binary operations ⋮ A special noncommutative semigroup operation on the real numbers and left or right distribution

Cites Work

• The associativity equation revisited
• Characterization of distributive semigroup operations on the positive real numbers
• Continuous semigroup structures on \(\mathbb R\), cancellative semigroups and bands
• A reconsideration of Jensen's inequality and its applications
• The state of the second part of Hilbert’s fifth problem
• Semigroup operations distributed by the ordinary multiplication or addition on the real numbers
• Sur les opérations définies pour nombres réels
• Unnamed Item

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