Combined Algebraic Properties of IP* and Central* Sets Near 0

Dibyendu De and Ram Krishna Paul

International Journal of Mathematics and Mathematical Sciences, 2012, vol. 2012, 1-7

Abstract:

It is known that for an IP* set ð ´ in â„• and a sequence ⟨ ð ‘¥ ð ‘› ⟩ ∞ ð ‘› = 1 there exists a sum subsystem ⟨ 𠑦 ð ‘› ⟩ ∞ ð ‘› = 1 of ⟨ ð ‘¥ ð ‘› ⟩ ∞ ð ‘› = 1 such that ð ¹ ð ‘† ( ⟨ 𠑦 ð ‘› ⟩ ∞ ð ‘› = 1 ) ∪ ð ¹ ð ‘ƒ ( ⟨ 𠑦 ð ‘› ⟩ ∞ ð ‘› = 1 ) ⊆ ð ´ . Similar types of results also have been proved for central* sets. In this present work we will extend the results for dense subsemigroups of ( ( 0 , ∞ ) , + ) .

Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:830718

DOI: 10.1155/2012/830718

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