{"id":2962,"date":"2026-01-03T22:20:36","date_gmt":"2026-01-03T22:20:36","guid":{"rendered":"https:\/\/ced.fst-usmba.ac.ma\/p\/mjaga\/?page_id=2962"},"modified":"2026-01-26T12:10:27","modified_gmt":"2026-01-26T12:10:27","slug":"on-the-lattice-of-basic-z%e2%97%a6-ideals","status":"publish","type":"page","link":"https:\/\/ced.fst-usmba.ac.ma\/p\/mjaga\/on-the-lattice-of-basic-z%e2%97%a6-ideals\/","title":{"rendered":"On the lattice of basic z\u25e6-ideals"},"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 the lattice of basic z^{\\circ}<\/span><\/strong>–ideals<\/strong><\/p>\n<\/div>\n<\/div>\n\n\n\n

Ali Taherifar<\/strong>\\,<\/span><\/i>
Department of Mathematics, Yasouj University, Yasouj, Iran.<\/p>\n\n\n\n

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Pages 268-274 | Received 02 February 2025, Accepted 21 May 2025, Published 04 January 2026 <\/span><\/p>\n\n\n\n

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

It has been shown that for a reduced f<\/span>-ring R<\/span> with bounded inversion property, the lattice of basic z^{\\circ}<\/span>-ideals is a complemented lattice if and only if the space of minimal prime ideals, Min(R)<\/span>, is compact and R<\/span> satisfies the annihilator condition. Examples are provided to illustrate and delineate these results.<\/p>\n\n\n\n

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Keywords<\/strong>:<\/span> Commutative ring, z-ideal, ring of continuous functions, reduced ring.<\/p>\n\n\n\n

MSC numbers<\/strong>:<\/span> 13A15, 16G30, 54C40.<\/p>\n\n\n\n

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Moroccan Journal of Algebra and Geometry with Applications Latest articles On the lattice of basic –ideals Ali TaherifarDepartment of Mathematics, Yasouj University, Yasouj, Iran. . Pages 268-274 | Received 02 February 2025, Accepted 21 May 2025, Published 04 January 2026 Abstract It has been shown that for a reduced -ring with bounded inversion property, the 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-2962","page","type-page","status-publish","hentry","entry"],"_links":{"self":[{"href":"https:\/\/ced.fst-usmba.ac.ma\/p\/mjaga\/wp-json\/wp\/v2\/pages\/2962","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=2962"}],"version-history":[{"count":4,"href":"https:\/\/ced.fst-usmba.ac.ma\/p\/mjaga\/wp-json\/wp\/v2\/pages\/2962\/revisions"}],"predecessor-version":[{"id":3003,"href":"https:\/\/ced.fst-usmba.ac.ma\/p\/mjaga\/wp-json\/wp\/v2\/pages\/2962\/revisions\/3003"}],"wp:attachment":[{"href":"https:\/\/ced.fst-usmba.ac.ma\/p\/mjaga\/wp-json\/wp\/v2\/media?parent=2962"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}