Direct products of null semigroups and rectangular bands in \(\beta\mathbb{N}\)

zbMath1503.22004MaRDI QIDQ2117395

Yevhen Zelenyuk, Yuliya Zelenyuk

Publication date: 21 March 2022

Published in: The New York Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: http://nyjm.albany.edu/j/2022/28-24.html

zbMATH Keywords

idempotentRamsey theoryrectangular bandStone-Cech compactificationnull semigroupright cancelable ultrafilter

Mathematics Subject Classification ID

Structure of topological semigroups (22A15) Ramsey theory (05D10) Special constructions of topological spaces (spaces of ultrafilters, etc.) (54D80) Other topological algebraic systems and their representations (22A30)

Related Items (2)

Cyclic sequences of periodic sums in \(\beta \mathbb{N} \) ⋮ Finite semigroups and periodic sums systems in $$\beta \mathbb {N}$$ and their Ramsey theoretic consequences

Cites Work

• Algebra in the Stone-Čech compactification. Theory and applications
• Three-element bands in \(\beta\mathbb N\)
• N ^∗ does not Contain an Algebraic and Topological Copy of βN
• Large rectangular semigroups in Stone-Cech compactifications
• Finite semigroups in βN and Ramsey theory
• Elements of order 2 in $\beta \mathbb{N}$
• On subsemigroups of \(\beta\mathbb{N}\) and absolute coretracts

This page was built for publication: Direct products of null semigroups and rectangular bands in \(\beta\mathbb{N}\)