{"id":2238,"date":"2024-06-29T09:58:49","date_gmt":"2024-06-29T09:58:49","guid":{"rendered":"https:\/\/ced.fst-usmba.ac.ma\/p\/mjaga\/?page_id=2238"},"modified":"2024-06-30T00:18:16","modified_gmt":"2024-06-30T00:18:16","slug":"extension-of-star-operation","status":"publish","type":"page","link":"https:\/\/ced.fst-usmba.ac.ma\/p\/mjaga\/extension-of-star-operation\/","title":{"rendered":"Extension of star-operation"},"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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Extension of star-operation<\/strong><\/p>\n<\/div>\n<\/div>\n\n\n\n

Elmakki Ahmed\\,^1<\/span> and Taha Eddhay<\/strong>\\,^2<\/span> <\/strong><\/i>
^1\\,<\/span>Department of Mathematics, Faculty of Sciences, Monastir, Tunisia.
^2\\,<\/span>Preparatory Institute for Engineering Studies, Gafsa, Tunisia.<\/p>\n\n\n\n

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Pages 36-44 | Received 19 June 2023, Accepted 22 September 2023, Published 30 June 2024 <\/span><\/p>\n\n\n\n

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

Let D<\/span> be an integral domain, *<\/span> a star operation on D<\/span> and S<\/span> a multiplicative subset of D.<\/span> In this paper, we generalize the notion of *<\/span>-ideals (resp, *<\/span>-invertible) of D<\/span>, by introducing the concept of S<\/span>–*<\/span>-ideals (resp, S<\/span>–*<\/span>-invertible) of D<\/span>. A fractional ideal of D<\/span> is called S<\/span>–*<\/span>-ideals (resp, S<\/span>–*<\/span>-invertible) if there exists an s\\in S<\/span> such that sI^*\\subseteq I\\subseteq I^*<\/span> (resp, if there exists an s\\in S<\/span> and a fractional ideal J<\/span> of D<\/span> such that sD \\subseteq (IJ)^* \\subseteq D<\/span>). We investigate many proprieties and characterizations of the notion S<\/span>–*<\/span>-ideals (resp, S<\/span>–*<\/span>-invertible).<\/p>\n\n\n\n

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Keywords<\/strong>:<\/span>\u00a0 *<\/span>-operation, S<\/span>–*<\/span>-ideals, S<\/span>–*<\/span>-invertible.<\/p>\n\n\n\n

MSC numbers<\/strong>:<\/span> 13G05, 13A15<\/p>\n\n\n\n

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Moroccan Journal of Algebra and Geometry with Applications Latest articles Extension of star-operation Elmakki Ahmed and Taha Eddhay  Department of Mathematics, Faculty of Sciences, Monastir, Tunisia.Preparatory Institute for Engineering Studies, Gafsa, Tunisia. Pages 36-44 | Received 19 June 2023, Accepted 22 September 2023, Published 30 June 2024 Abstract Let be an integral domain, a star 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-2238","page","type-page","status-publish","hentry","entry"],"_links":{"self":[{"href":"https:\/\/ced.fst-usmba.ac.ma\/p\/mjaga\/wp-json\/wp\/v2\/pages\/2238","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=2238"}],"version-history":[{"count":11,"href":"https:\/\/ced.fst-usmba.ac.ma\/p\/mjaga\/wp-json\/wp\/v2\/pages\/2238\/revisions"}],"predecessor-version":[{"id":2325,"href":"https:\/\/ced.fst-usmba.ac.ma\/p\/mjaga\/wp-json\/wp\/v2\/pages\/2238\/revisions\/2325"}],"wp:attachment":[{"href":"https:\/\/ced.fst-usmba.ac.ma\/p\/mjaga\/wp-json\/wp\/v2\/media?parent=2238"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}