{"id":975,"date":"2022-08-23T06:33:06","date_gmt":"2022-08-23T06:33:06","guid":{"rendered":"http:\/\/cvsc.upcebu.edu.ph\/?p=975"},"modified":"2025-05-21T06:30:46","modified_gmt":"2025-05-21T06:30:46","slug":"on-dual-b-filters-and-dual-b-subalgebras-in-a-topologicaldual-b-algebra","status":"publish","type":"post","link":"https:\/\/cvsc.upcebu.edu.ph\/index.php\/2022\/08\/23\/on-dual-b-filters-and-dual-b-subalgebras-in-a-topologicaldual-b-algebra\/","title":{"rendered":"On dual B-filters and dual B-subalgebras in a topological<br>dual B-algebra"},"content":{"rendered":"\n<p>Katrina E. Bellezaa,\u2217 Jimboy R. Albaracin<\/p>\n\n\n\n<figure class=\"wp-block-image size-large is-resized\"><img loading=\"lazy\" decoding=\"async\" src=\"http:\/\/172.17.1.35\/wp-content\/uploads\/2022\/08\/Journal-of-mathematics-and-Computer-Science-Albaracin.jpg\" alt=\"\" class=\"wp-image-976\" width=\"261\" height=\"370\"\/><\/figure>\n\n\n\n<p>Abstract<br \/>This paper introduces the notion of the tdB-algebra, presents characteristics and properties of dual B-filters and dual<br \/>B-subalgebras in a tdB-algebra, and introduces the uniform topology on a dual B-algebra in terms of its dual B-subalgebras.<br \/>Moreover, this paper shows that a uniform dual B-structure is a tdB-algebra.<\/p>\n\n\n\n<p><br \/>Keywords: Topological algebra, dual B-algebra, topological dual B-algebra, dual B-topological space, tdB-algebra.<br \/>2020 MSC: 46H10, 54A05, 54F65, 54H99, 55M99.<\/p>\n\n\n\n<p>Link to the Article<\/p>\n\n\n\n<figure class=\"wp-block-embed\"><div class=\"wp-block-embed__wrapper\">\nhttp:\/\/dx.doi.org\/10.22436\/jmcs.028.01.01\n<\/div><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>Katrina E. Bellezaa,\u2217 Jimboy R. Albaracin AbstractThis paper introduces the notion of the tdB-algebra, presents characteristics and properties of dual B-filters and dualB-subalgebras in a tdB-algebra, and introduces the uniform topology on a dual B-algebra in terms of its dual B-subalgebras.Moreover, this paper shows that a uniform dual B-structure is a tdB-algebra. Keywords: Topological algebra, [&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-975","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\/975","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=975"}],"version-history":[{"count":1,"href":"https:\/\/cvsc.upcebu.edu.ph\/index.php\/wp-json\/wp\/v2\/posts\/975\/revisions"}],"predecessor-version":[{"id":1974,"href":"https:\/\/cvsc.upcebu.edu.ph\/index.php\/wp-json\/wp\/v2\/posts\/975\/revisions\/1974"}],"wp:attachment":[{"href":"https:\/\/cvsc.upcebu.edu.ph\/index.php\/wp-json\/wp\/v2\/media?parent=975"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/cvsc.upcebu.edu.ph\/index.php\/wp-json\/wp\/v2\/categories?post=975"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/cvsc.upcebu.edu.ph\/index.php\/wp-json\/wp\/v2\/tags?post=975"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}