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<p>We construct a free 2-generated band <InlineEquation ID="IEq4"> <EquationSource Format="TEX">\(\{e,p,e+p,p+e,e+p+e,p+e+p\}\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mo stretchy="false">{</mo> <mi>e</mi> <mo>,</mo> <mi>p</mi> <mo>,</mo> <mi>e</mi> <mo>+</mo> <mi>p</mi> <mo>,</mo> <mi>p</mi> <mo>+</mo> <mi>e</mi> <mo>,</mo> <mi>e</mi> <mo>+</mo> <mi>p</mi> <mo>+</mo> <mi>e</mi> <mo>,</mo> <mi>p</mi> <mo>+</mo> <mi>e</mi> <mo>+</mo> <mi>p</mi> <mo stretchy="false">}</mo> </mrow> </math></EquationSource> </InlineEquation> in <InlineEquation ID="IEq5"> <EquationSource Format="TEX">\(\beta \mathbb {N}\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mi>β</mi> <mi mathvariant="double-struck">N</mi> </mrow> </math></EquationSource> </InlineEquation>. As a consequence we obtain a new Ramsey theoretic result.</p>

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Free 2-generated band in \(\beta \mathbb {N}\)

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  • 发表日期：

    2026年2月18日

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  • Yevhen Zelenyuk,
  • Yuliya Zelenyuk

摘要

We construct a free 2-generated band \(\{e,p,e+p,p+e,e+p+e,p+e+p\}\) { e , p , e + p , p + e , e + p + e , p + e + p } in \(\beta \mathbb {N}\) β N . As a consequence we obtain a new Ramsey theoretic result.