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Some characterizations of the radical of an IVRL-filter are given. The notion of IVRL-extended semi maximal filter in triangle algebras also introduced. We investigate the relations between this notion and other types of IVRL-filters in triangle algebras. Special elements such as dense elements and double complemented elements in triangle algebras are defined. Properties of the collections of these elements as well as properties of IVRL-filters in triangle algebras are studies.<\/jats:p>","DOI":"10.3233\/ifs-151842","type":"journal-article","created":{"date-parts":[[2016,2,9]],"date-time":"2016-02-09T10:58:21Z","timestamp":1455015501000},"page":"1181-1193","update-policy":"https:\/\/doi.org\/10.1177\/sage-journals-update-policy","source":"Crossref","is-referenced-by-count":4,"title":["On maximal filters in triangle algebras"],"prefix":"10.1177","volume":"30","author":[{"given":"Saeide","family":"Zahiri","sequence":"first","affiliation":[{"name":"Department of Pure Mathematics, Faculty of Mathematics and Computer, Shahid Bahonar University of Kerman, Kerman, Iran"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Arsham","family":"Borumand Saeid","sequence":"additional","affiliation":[{"name":"Department of Pure Mathematics, Faculty of Mathematics and Computer, Shahid Bahonar University of Kerman, Kerman, Iran"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Esfandiar","family":"Eslami","sequence":"additional","affiliation":[{"name":"Department of Pure Mathematics, Faculty of Mathematics and Computer, Shahid Bahonar University of Kerman, Kerman, Iran"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"179","published-online":{"date-parts":[[2015,11,4]]},"reference":[{"key":"e_1_3_1_2_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.fss.2013.06.001"},{"key":"e_1_3_1_3_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.fss.2005.10.007"},{"key":"e_1_3_1_4_2","doi-asserted-by":"publisher","DOI":"10.1016\/S0165-0114(01)00098-7"},{"key":"e_1_3_1_5_2","first-page":"65","article-title":"Zum intuitionistischen Aussagenkalk\u00c2\u013aul","author":"G\u00f6del K.","year":"1932","unstructured":"G\u00f6delK., Zum intuitionistischen Aussagenkalk\u00c2\u013aul, Anzeiger der Akademie der Wissenschaften in Wien (1932), 65\u201366.","journal-title":"Anzeiger der Akademie der Wissenschaften in Wien"},{"key":"e_1_3_1_6_2","doi-asserted-by":"publisher","DOI":"10.1007\/978-94-011-5300-3"},{"key":"e_1_3_1_7_2","doi-asserted-by":"publisher","DOI":"10.1007\/s00500-005-0534-4"},{"key":"e_1_3_1_8_2","first-page":"1","article-title":"Untersuchungen \u00c2\u013auber den Aussagenkalk\u00c2\u013aul","author":"Lukasiewicz J.","year":"1930","unstructured":"LukasiewiczJ. and TarskiA., Untersuchungen \u00c2\u013auber den Aussagenkalk\u00c2\u013aul, Comptes Rendus de la Soci\u00c2t\u2019et\u00c2t\u2019e des Sciences et des Lettres de Varsovie (1930), 1\u201321.","journal-title":"Comptes Rendus de la Soci\u00c2t\u2019et\u00c2t\u2019e des Sciences et des Lettres de Varsovie"},{"key":"e_1_3_1_9_2","doi-asserted-by":"publisher","DOI":"10.1002\/malq.201010003"},{"key":"e_1_3_1_10_2","unstructured":"PiciuD. 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