{"id":3245,"date":"2026-07-18T20:01:47","date_gmt":"2026-07-18T20:01:47","guid":{"rendered":"https:\/\/ced.fst-usmba.ac.ma\/p\/mjaga\/?page_id=3245"},"modified":"2026-07-18T20:53:39","modified_gmt":"2026-07-18T20:53:39","slug":"on-s-j-filters-of-a-bounded-lattice","status":"publish","type":"page","link":"https:\/\/ced.fst-usmba.ac.ma\/p\/mjaga\/on-s-j-filters-of-a-bounded-lattice\/","title":{"rendered":"On S-J-filters of a bounded lattice"},"content":{"rendered":"\n
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Moroccan Journal of Algebra and Geometry with Applications<\/strong><\/p>\n\n\n\n

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On S-J-filters of a bounded lattice<\/strong><\/p>\n<\/div>\n<\/div>\n\n\n\n

Shahabaddin Ebrahimi Atani <\/strong><\/i>
Department of Pure Mathematics, Guilan University, Rasht, Iran.<\/p>\n\n\n\n

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Pages 113-125 | Received 10 June 2025, Accepted 03 September 2025, Published 19 July 2026 <\/span><\/p>\n\n\n\n

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Abstract<\/span><\/strong><\/p>\n\n\n\n

Let \\mathcal{L}<\/span> be a bounded lattice and S<\/span> denote the join subset of \\mathcal{L}<\/span>. In this paper, we introduce the concept of S\\text{-}J<\/span>-filters as a new generalization of J<\/span>-filters. Many of the basic properties and characterizations of this concept are investigated. We study S\\text{-}J<\/span>-filters under various contexts of constructions such as the stability of S\\text{-}J<\/span>-join subsets in some lattice-theoretic constructions, homomorphic image lattices, quotient lattices, cartesian product lattices, S<\/span> finite filters, SJ<\/span>-finite filters, SJ<\/span> Noetherian lattices and filterlization lattices.<\/p>\n\n\n\n

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Keywords<\/strong>:<\/span> lattice, J<\/span>-filter, S\\text{-}J<\/span>-filter.<\/p>\n\n\n\n

MSC numbers<\/strong>:<\/span> Primary: 06B15, 06B20; Secondary 05C25, 05C40.<\/p>\n\n\n\n

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Moroccan Journal of Algebra and Geometry with Applications Latest articles On S-J-filters of a bounded lattice Shahabaddin Ebrahimi Atani Department of Pure Mathematics, Guilan University, Rasht, Iran. Pages 113-125 | Received 10 June 2025, Accepted 03 September 2025, Published 19 July 2026 Abstract Let be a bounded lattice and denote the join subset of . Read More<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"template-page-builder.php","meta":{"footnotes":""},"class_list":["post-3245","page","type-page","status-publish","hentry","entry"],"_links":{"self":[{"href":"https:\/\/ced.fst-usmba.ac.ma\/p\/mjaga\/wp-json\/wp\/v2\/pages\/3245","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/ced.fst-usmba.ac.ma\/p\/mjaga\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/ced.fst-usmba.ac.ma\/p\/mjaga\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/ced.fst-usmba.ac.ma\/p\/mjaga\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/ced.fst-usmba.ac.ma\/p\/mjaga\/wp-json\/wp\/v2\/comments?post=3245"}],"version-history":[{"count":2,"href":"https:\/\/ced.fst-usmba.ac.ma\/p\/mjaga\/wp-json\/wp\/v2\/pages\/3245\/revisions"}],"predecessor-version":[{"id":3257,"href":"https:\/\/ced.fst-usmba.ac.ma\/p\/mjaga\/wp-json\/wp\/v2\/pages\/3245\/revisions\/3257"}],"wp:attachment":[{"href":"https:\/\/ced.fst-usmba.ac.ma\/p\/mjaga\/wp-json\/wp\/v2\/media?parent=3245"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}