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Logic"],"published-print":{"date-parts":[[2026,2]]},"abstract":"<jats:title>Abstract<\/jats:title>\n                  <jats:p>\n                    We give characterizations for the thin ideal and almost thin ideal, which were studied by J\u00f6rg Brendle and Jana Fla\u0161kov\u00e1 in their paper Brendle, J.\n                    <jats:bold>236<\/jats:bold>\n                    (3), 201\u2013245 (2017). We check the various properties of selected ideals. We also verify whether these ideals are comparable in the Rudin-Blass order and Rudin-Keisler order. Moreover, we present a negative answer to [Filip\u00f3w, R. 1\u201348 (2024) Question 8.8(1)].\n                  <\/jats:p>","DOI":"10.1007\/s00153-025-00994-1","type":"journal-article","created":{"date-parts":[[2025,11,2]],"date-time":"2025-11-02T14:45:31Z","timestamp":1762094731000},"page":"151-175","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["Homogeneity, P-like properties of ideals and orders between ideals"],"prefix":"10.1007","volume":"65","author":[{"given":"Krzysztof","family":"Kowitz","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Jacek","family":"Tryba","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2025,11,2]]},"reference":[{"issue":"1","key":"994_CR1","first-page":"125","volume":"16","author":"P Barbarski","year":"2011","unstructured":"Barbarski, P., Filip\u00f3w, R., Mro\u017cek, N., Szuca, P.: Uniform density $$u$$ and $${\\cal{I} }_u$$-convergence on a big set. 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