Continuous semigroup structures on \(\mathbb R\), cancellative semigroups and bands

DOI10.1007/s00233-014-9624-xzbMath1321.22005OpenAlexW2465987034MaRDI QIDQ2350953

Sin-Ei Takahasi, Yasuo Nakasuji, Yuji Kobayashi, Makoto Tsukada

Publication date: 25 June 2015

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

Full work available at URL: https://doi.org/10.1007/s00233-014-9624-x

zbMATH Keywords

topological grouptopological semigroupArchimedean semigroupordered semigroupcancellation conditionband (idempotent semigroup)

Mathematics Subject Classification ID

Structure of topological semigroups (22A15)

Related Items (6)

Continuous Archimedean semigroups on real intervals ⋮ Special noncancellative commutative semigroup operations on the real numbers and distribution ⋮ Homeomorphism groups on the positive real numbers defined by binary operations ⋮ Characterization of distributive semigroup operations on the positive real numbers ⋮ A special noncommutative semigroup operation on the real numbers and left or right distribution ⋮ Semigroup operations distributed by natural noncancellative semigroup operations on the positive real numbers

Cites Work

• The associativity equation revisited
• On the characterization of topological semigroups on closed intervals
• Connected Ordered Topological Semigroups With Idempotent Endpoints
• Connected Ordered Topological Semigroups with Idempotent Endpoints II
• Sur les opérations définies pour nombres réels
• Unnamed Item

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