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<p>We introduce a new ideal, related to the topology of Rizza defined on the set of positive integers, and examine its basic properties. With the use of the Rizza’s ideal we answer the question from a recent paper of C. Uzcátegui. Moreover, we recall the definitions of some well-known set-theoretic ideals that appear, e.g., in number theory and combinatorics, and present a comparison of all ideals mentioned in the paper—we explore all of the possible inclusions between them.</p>

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Rizza’s ideal and comparison of some known set-theoretic ideals from number theory and combinatorics

  • 期刊论文

  • 发表日期：

    2025年1月4日

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  • Marta Kwela

摘要

We introduce a new ideal, related to the topology of Rizza defined on the set of positive integers, and examine its basic properties. With the use of the Rizza’s ideal we answer the question from a recent paper of C. Uzcátegui. Moreover, we recall the definitions of some well-known set-theoretic ideals that appear, e.g., in number theory and combinatorics, and present a comparison of all ideals mentioned in the paper—we explore all of the possible inclusions between them.