{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2022,4,5]],"date-time":"2022-04-05T17:32:00Z","timestamp":1649179920164},"reference-count":16,"publisher":"World Scientific Pub Co Pte Lt","issue":"03","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["New Math. and Nat. Computation"],"published-print":{"date-parts":[[2019,11]]},"abstract":"<jats:p>In this paper, we defined the prime-like filters of [Formula: see text]-algebras, and proved some relations between this filter and other types of filters in [Formula: see text]-algebras. Also, we found the relation between prime-like filters and constructed the quotient [Formula: see text]-algebras via this filter. We proved some results that have proven for prime filters of [Formula: see text]-algebras, to the case of prime-like filters of [Formula: see text]-algebras. In this way, we found new properties for the primary filters of [Formula: see text]-algebras. Also, we introduced the notions of prime-like [Formula: see text]-algebras ([Formula: see text]-algebras), and Top-like [Formula: see text]-algebras. And we applied the notion of prime-like filters to define and study a new topology on [Formula: see text]-algebras.<\/jats:p>","DOI":"10.1142\/s179300571950025x","type":"journal-article","created":{"date-parts":[[2019,4,8]],"date-time":"2019-04-08T09:08:54Z","timestamp":1554714534000},"page":"447-461","source":"Crossref","is-referenced-by-count":1,"title":["Primary Filters in BL-algebras"],"prefix":"10.1142","volume":"15","author":[{"given":"Somayeh","family":"Motamed","sequence":"first","affiliation":[{"name":"Department of Mathematics, Bandar Abbas Branch, Islamic Azad University, Bandar Abbas, Iran"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Javad","family":"Moghaderi","sequence":"additional","affiliation":[{"name":"Department of Mathematics, University of Hormozgan, Bandar Abbas, Iran"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"219","published-online":{"date-parts":[[2019,10,7]]},"reference":[{"key":"S179300571950025XBIB001","doi-asserted-by":"publisher","DOI":"10.1007\/978-94-011-5300-3"},{"key":"S179300571950025XBIB002","first-page":"49","volume":"6","author":"Turunen E.","year":"1999","journal-title":"Mathware and Soft Computing"},{"key":"S179300571950025XBIB003","doi-asserted-by":"publisher","DOI":"10.1007\/s001530100088"},{"key":"S179300571950025XBIB004","doi-asserted-by":"publisher","DOI":"10.1090\/S0002-9947-1958-0094302-9"},{"issue":"1","key":"S179300571950025XBIB005","first-page":"31","volume":"11","author":"Busneag D.","year":"2003","journal-title":"Seria Matematica"},{"key":"S179300571950025XBIB006","doi-asserted-by":"publisher","DOI":"10.2478\/BF02476010"},{"key":"S179300571950025XBIB007","volume-title":"Mathematics Behind Fuzzy Logic","author":"Turunen E.","year":"1999"},{"issue":"1","key":"S179300571950025XBIB008","first-page":"229","volume":"6","author":"Turunen E.","year":"2001","journal-title":"International Journal of Multiple-Valued Logic"},{"key":"S179300571950025XBIB009","doi-asserted-by":"publisher","DOI":"10.1002\/malq.201010003"},{"key":"S179300571950025XBIB010","first-page":"70","volume":"7","author":"Borumand Saeid A.","year":"2009","journal-title":"World Applied Science Journal"},{"issue":"6","key":"S179300571950025XBIB011","doi-asserted-by":"crossref","first-page":"2949","DOI":"10.3233\/IFS-141254","volume":"27","author":"Borumand Saeid A.","year":"2014","journal-title":"Journal of Intelligent and Fuzzy Systems"},{"key":"S179300571950025XBIB012","doi-asserted-by":"publisher","DOI":"10.1007\/s00500-005-0534-4"},{"key":"S179300571950025XBIB013","doi-asserted-by":"publisher","DOI":"10.1002\/malq.200910025"},{"key":"S179300571950025XBIB014","doi-asserted-by":"publisher","DOI":"10.1007\/s13370-012-0091-9"},{"key":"S179300571950025XBIB015","doi-asserted-by":"publisher","DOI":"10.1007\/s00500-016-2043-z"},{"key":"S179300571950025XBIB016","first-page":"303","volume":"30","author":"Borzooei R. 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