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Role of associativity in Ramsey algebras

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Publication:1693654
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DOI10.1007/s12044-017-0359-yzbMath1379.05119OpenAlexW2765819412MaRDI QIDQ1693654

Zu Yao Teoh, Andrew Rajah, Wen Chean Teh

Publication date: 31 January 2018

Published in: Proceedings of the Indian Academy of Sciences. Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12044-017-0359-y

zbMATH Keywords

semigroupsassociativityoctonionsalternative algebrasbinary systemsRamsey algebrasnonassociative Moufang loops


Mathematics Subject Classification ID

General structure theory for semigroups (20M10) Loops, quasigroups (20N05) Ramsey theory (05D10)


Related Items

STRUCTURAL CONSIDERATIONS OF RAMSEY ALGEBRAS



Cites Work

  • Unnamed Item
  • Ramsey algebras and the existence of idempotent ultrafilters
  • Ramsey algebras and strongly reductible ultrafilters
  • Ramsey algebras and formal orderly terms
  • Ramsey's theorem with sums or unions
  • Heterogeneous Ramsey algebras and classification of Ramsey vector spaces
  • Some unifying principles in Ramsey theory
  • Finite sums from sequences within cells of a partition of N
  • A new proof that analytic sets are Ramsey
  • Borel sets and Ramsey's theorem
  • The octonions
  • Every analytic set is Ramsey
  • On the Representation of Integers in Nonadjacent Form
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