{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,10]],"date-time":"2025-10-10T01:38:31Z","timestamp":1760060311692,"version":"build-2065373602"},"reference-count":23,"publisher":"MDPI AG","issue":"8","license":[{"start":{"date-parts":[[2025,8,16]],"date-time":"2025-08-16T00:00:00Z","timestamp":1755302400000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"National Nature Science Foundation of China","award":["12171022","ZR2024QA232"],"award-info":[{"award-number":["12171022","ZR2024QA232"]}]},{"name":"Natural Science Foundation of Shandong Province","award":["12171022","ZR2024QA232"],"award-info":[{"award-number":["12171022","ZR2024QA232"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Axioms"],"abstract":"<jats:p>This paper investigates the relationship between implication reducts and Sheffer stroke reducts in basic algebras. The study establishes a one-to-one correspondence between bounded Sheffer stroke basic algebras and strong implication basic algebras. Furthermore, it examines several key properties of compatible filters in Sheffer stroke basic algebras.<\/jats:p>","DOI":"10.3390\/axioms14080640","type":"journal-article","created":{"date-parts":[[2025,8,18]],"date-time":"2025-08-18T15:34:53Z","timestamp":1755531293000},"page":"640","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["Two Reducts of Basic Algebras"],"prefix":"10.3390","volume":"14","author":[{"given":"Wenjing","family":"Zhang","sequence":"first","affiliation":[{"name":"School of Mathematics and Statistics, Qilu University of Technology (Shandong Academy of Sciences), Jinan 250353, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Jing","family":"Wang","sequence":"additional","affiliation":[{"name":"School of Mathematics and Statistics, Qilu University of Technology (Shandong Academy of Sciences), Jinan 250353, China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2025,8,16]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"481","DOI":"10.1090\/S0002-9947-1913-1500960-1","article-title":"A set of five independent postulates for Boolean algebras","volume":"14","author":"Sheffer","year":"1913","journal-title":"Trans. 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