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Some characterizations of prime GE-filters of a transitive GE-algebra are given in terms of the GE-filter generated by a subset of a transitive GE-algebra. We generalized Stone\u2019s theorem to transitive GE-algebras. The notion of elitable GE-filter of a bordered GE-algebra is introduced and investigated its properties. We observed that the class of all elitable GE-filters of a transitive bordered GE-algebra is a complete distributive lattice. Equivalent conditions for a GE-filter of a transitive bordered GE-algebra to be elitable GE-filter are given. We provided conditions for a subset of a transitive bordered GE-algebra to be elitable GE-filter.<\/jats:p>","DOI":"10.1007\/s00500-022-07306-2","type":"journal-article","created":{"date-parts":[[2022,7,6]],"date-time":"2022-07-06T23:13:31Z","timestamp":1657149211000},"page":"8987-8996","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["Elitable GE-filters of bordered GE-algebras"],"prefix":"10.1007","volume":"26","author":[{"given":"Jeong-Gon","family":"Lee","sequence":"first","affiliation":[]},{"given":"Manzoor Kaleem","family":"Shaik","sequence":"additional","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0001-8661-7914","authenticated-orcid":false,"given":"Ravikumar","family":"Bandaru","sequence":"additional","affiliation":[]},{"given":"Young Bae","family":"Jun","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2022,7,6]]},"reference":[{"issue":"1","key":"7306_CR1","doi-asserted-by":"publisher","first-page":"81","DOI":"10.18778\/0138-0680.2020.20","volume":"50","author":"RK Bandaru","year":"2021","unstructured":"Bandaru RK, Borumand Saeid A, Jun YB (2021) On GE-algebras. 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