{"id":1106,"date":"2023-05-29T02:04:00","date_gmt":"2023-05-29T02:04:00","guid":{"rendered":"http:\/\/cvsc.upcebu.edu.ph\/?p=1106"},"modified":"2025-05-21T06:28:51","modified_gmt":"2025-05-21T06:28:51","slug":"on-dual-b-topological-spaces-determined-by-filterbase-and-some-sets-in-a-dual-b-algebra","status":"publish","type":"post","link":"https:\/\/cvsc.upcebu.edu.ph\/index.php\/2023\/05\/29\/on-dual-b-topological-spaces-determined-by-filterbase-and-some-sets-in-a-dual-b-algebra\/","title":{"rendered":"On Dual B-Topological Spaces Determined by Filterbase and Some Sets in a Dual B-algebra"},"content":{"rendered":"\n<ul class=\"wp-block-list\"><li><strong>Jimboy Ruben Albaracin<\/strong><\/li><li><strong>Katrina E. Belleza<\/strong><\/li><\/ul>\n\n\n\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"920\" height=\"50\" src=\"https:\/\/cvsc.upcebu.edu.ph\/wp-content\/uploads\/2023\/05\/European-Journal-of-Pure-and-Applied-Mathematics-Manzano.png\" alt=\"\" class=\"wp-image-1107\" srcset=\"https:\/\/cvsc.upcebu.edu.ph\/wp-content\/uploads\/2023\/05\/European-Journal-of-Pure-and-Applied-Mathematics-Manzano.png 920w, https:\/\/cvsc.upcebu.edu.ph\/wp-content\/uploads\/2023\/05\/European-Journal-of-Pure-and-Applied-Mathematics-Manzano-300x16.png 300w, https:\/\/cvsc.upcebu.edu.ph\/wp-content\/uploads\/2023\/05\/European-Journal-of-Pure-and-Applied-Mathematics-Manzano-768x42.png 768w\" sizes=\"(max-width: 920px) 100vw, 920px\" \/><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\">Abstract<\/h2>\n\n\n\n<p>This paper presents dual B-topologies that are determined by filterbase and some sets in a dual B-algebra. Also, some properties of a filterbase in a dual B-topological space are provided. In particular, a commutative dual B-topological space and a symmetric B-topological space are topological dual B-algebras.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">Keywords:&nbsp;<\/h2>\n\n\n\n<p>topological algebra, dual B-algebra, topological B-algebra, dual B-topological space, tdB-algebra<\/p>\n\n\n\n<p><strong>Link to the Article<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-embed\"><div class=\"wp-block-embed__wrapper\">\nhttps:\/\/doi.org\/10.29020\/nybg.ejpam.v15i4.4594\n<\/div><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>Jimboy Ruben Albaracin Katrina E. Belleza Abstract This paper presents dual B-topologies that are determined by filterbase and some sets in a dual B-algebra. Also, some properties of a filterbase in a dual B-topological space are provided. In particular, a commutative dual B-topological space and a symmetric B-topological space are topological dual B-algebras. Keywords:&nbsp; topological [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_et_pb_use_builder":"","_et_pb_old_content":"","_et_gb_content_width":"","footnotes":""},"categories":[7],"tags":[],"class_list":["post-1106","post","type-post","status-publish","format-standard","hentry","category-recent-publications"],"_links":{"self":[{"href":"https:\/\/cvsc.upcebu.edu.ph\/index.php\/wp-json\/wp\/v2\/posts\/1106","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/cvsc.upcebu.edu.ph\/index.php\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/cvsc.upcebu.edu.ph\/index.php\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/cvsc.upcebu.edu.ph\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/cvsc.upcebu.edu.ph\/index.php\/wp-json\/wp\/v2\/comments?post=1106"}],"version-history":[{"count":1,"href":"https:\/\/cvsc.upcebu.edu.ph\/index.php\/wp-json\/wp\/v2\/posts\/1106\/revisions"}],"predecessor-version":[{"id":1950,"href":"https:\/\/cvsc.upcebu.edu.ph\/index.php\/wp-json\/wp\/v2\/posts\/1106\/revisions\/1950"}],"wp:attachment":[{"href":"https:\/\/cvsc.upcebu.edu.ph\/index.php\/wp-json\/wp\/v2\/media?parent=1106"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/cvsc.upcebu.edu.ph\/index.php\/wp-json\/wp\/v2\/categories?post=1106"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/cvsc.upcebu.edu.ph\/index.php\/wp-json\/wp\/v2\/tags?post=1106"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}