{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,17]],"date-time":"2026-04-17T03:40:55Z","timestamp":1776397255085,"version":"3.51.2"},"reference-count":10,"publisher":"Wiley","issue":"1","license":[{"start":{"date-parts":[[2025,10,23]],"date-time":"2025-10-23T00:00:00Z","timestamp":1761177600000},"content-version":"vor","delay-in-days":295,"URL":"http:\/\/creativecommons.org\/licenses\/by\/4.0\/"},{"start":{"date-parts":[[2025,1,1]],"date-time":"2025-01-01T00:00:00Z","timestamp":1735689600000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/doi.wiley.com\/10.1002\/tdm_license_1.1"}],"content-domain":{"domain":["onlinelibrary.wiley.com"],"crossmark-restriction":true},"short-container-title":["Journal of Applied Mathematics"],"published-print":{"date-parts":[[2025,1]]},"abstract":"<jats:p>The essential characteristics of \u2010fuzzy prime ideals and \u2010fuzzy maximal ideals within distributive join\u2010semilattices are introduced and examined in this work. We present a number of characterization theorems and prove findings related to the prime ideal theorem. We show that every \u2010fuzzy prime ideal (or \u2010fuzzy maximal ideal) has exactly two values: 1 and a prime element (or dual atom, respectively). The topological structure of the set of \u2010fuzzy prime ideals in distributive join\u2010semilattices is also investigated.<\/jats:p>","DOI":"10.1155\/jama\/5182947","type":"journal-article","created":{"date-parts":[[2025,10,23]],"date-time":"2025-10-23T12:01:24Z","timestamp":1761220884000},"update-policy":"https:\/\/doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":1,"title":["The Spectral Space of H\u2010Fuzzy Prime Ideals in Distributive Join\u2010Semilattices"],"prefix":"10.1155","volume":"2025","author":[{"given":"Mohammed Amare","family":"Mohammed","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Berehanu Bekele","family":"Belayneh","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Zelalem Teshome","family":"Wale","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-6735-6832","authenticated-orcid":false,"given":"Gezahagne Mulat","family":"Addis","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"311","published-online":{"date-parts":[[2025,10,23]]},"reference":[{"key":"e_1_2_12_1_2","doi-asserted-by":"publisher","DOI":"10.1016\/S0019-9958(65)90241-X"},{"key":"e_1_2_12_2_2","volume-title":"Fuzzy Sets and Fuzzy Logic","author":"Klir G.","year":"1995"},{"key":"e_1_2_12_3_2","doi-asserted-by":"publisher","DOI":"10.1016\/0022-247X(67)90189-8"},{"key":"e_1_2_12_4_2","doi-asserted-by":"publisher","DOI":"10.1007\/10936443_1"},{"key":"e_1_2_12_5_2","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-0348-0018-1"},{"key":"e_1_2_12_6_2","doi-asserted-by":"publisher","DOI":"10.1016\/0165-0114(94)90077-9"},{"key":"e_1_2_12_7_2","doi-asserted-by":"publisher","DOI":"10.11568\/kjm.2020.28.1.49"},{"key":"e_1_2_12_8_2","doi-asserted-by":"publisher","DOI":"10.1155\/2023\/4526348"},{"key":"e_1_2_12_9_2","doi-asserted-by":"publisher","DOI":"10.1016\/0022-247X(88)90009-1"},{"key":"e_1_2_12_10_2","doi-asserted-by":"crossref","unstructured":"MohammedM. A. AddisG. M. BelaynehB. B. andWaleZ. T. H-Fuzzy Ideals and H-Fuzzy Filters of Distributive Join-Semilattices 2025.","DOI":"10.1155\/jama\/5182947"}],"container-title":["Journal of Applied Mathematics"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/pdf\/10.1155\/jama\/5182947","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/full-xml\/10.1155\/jama\/5182947","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/pdf\/10.1155\/jama\/5182947","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,4,17]],"date-time":"2026-04-17T02:42:09Z","timestamp":1776393729000},"score":1,"resource":{"primary":{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/10.1155\/jama\/5182947"}},"subtitle":[],"editor":[{"given":"John","family":"Venetis","sequence":"additional","affiliation":[],"role":[{"role":"editor","vocabulary":"crossref"}]}],"short-title":[],"issued":{"date-parts":[[2025,1]]},"references-count":10,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2025,1]]}},"alternative-id":["10.1155\/jama\/5182947"],"URL":"https:\/\/doi.org\/10.1155\/jama\/5182947","archive":["Portico"],"relation":{},"ISSN":["1110-757X","1687-0042"],"issn-type":[{"value":"1110-757X","type":"print"},{"value":"1687-0042","type":"electronic"}],"subject":[],"published":{"date-parts":[[2025,1]]},"assertion":[{"value":"2025-03-19","order":0,"name":"received","label":"Received","group":{"name":"publication_history","label":"Publication History"}},{"value":"2025-09-17","order":2,"name":"accepted","label":"Accepted","group":{"name":"publication_history","label":"Publication History"}},{"value":"2025-10-23","order":3,"name":"published","label":"Published","group":{"name":"publication_history","label":"Publication History"}}],"article-number":"5182947"}}