期刊名称：International Journal of Mathematics and Mathematical Sciences
印刷版ISSN：0161-1712
电子版ISSN：1687-0425
出版年度：2012
卷号：2012
DOI：10.1155/2012/830718
出版社：Hindawi Publishing Corporation
摘要：It is known that for an IP* set 𝐴 in ℕ and a sequence ⟨𝑥𝑛⟩∞𝑛=1 there exists a sum subsystem ⟨𝑦𝑛⟩∞𝑛=1 of ⟨𝑥𝑛⟩∞𝑛=1 such that 𝐹𝑆(⟨𝑦𝑛⟩∞𝑛=1)∪𝐹𝑃(⟨𝑦𝑛⟩∞𝑛=1)⊆𝐴. 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,∞),
