{"id":2405,"date":"2024-11-02T21:48:08","date_gmt":"2024-11-02T21:48:08","guid":{"rendered":"https:\/\/ced.fst-usmba.ac.ma\/p\/mjaga\/?page_id=2405"},"modified":"2024-11-08T08:16:07","modified_gmt":"2024-11-08T08:16:07","slug":"on-graded-coherent-like-properties-of-commutative-graded-rings-a-survey","status":"publish","type":"page","link":"https:\/\/ced.fst-usmba.ac.ma\/p\/mjaga\/on-graded-coherent-like-properties-of-commutative-graded-rings-a-survey\/","title":{"rendered":"On graded-coherent like properties of commutative graded rings: a survey"},"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 graded-coherent like properties of commutative graded rings: a survey<\/strong><\/p>\n<\/div>\n<\/div>\n\n\n\n

Anass Assarrar and Najib Mahdou <\/strong><\/i>
Laboratory of Modeling and Mathematical Structures
Faculty of Science and Technology, Sidi Mohamed ben Abdellah University of Fez, Morocco<\/p>\n\n\n\n

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Pages 288\u2013320 | Received 16 December 2023, Accepted 28 March 2024, Published 08 November 2024 <\/span><\/p>\n\n\n\n

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

Let R<\/span> be a commutative ring with nonzero identity and \\Gamma<\/span> (or sometimes G<\/span>) a commutative monoid. The concept of coherent rings is one of the most significant notions in homological algebra. Because of its importance, there have been many generalizations to the notion of coherent rings. Some of them are linked the context of graded rings. In this paper, we survey known results concerning the different graded generalizations of coherent rings and modules.<\/p>\n\n\n\n

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Keywords<\/strong>:<\/span>  graded-Noetherian, graded-valuation domain, graded-valuation ring, graded Pr\u00fcfer domains, graded-coherent, uniformly graded-coherent, graded-v-coherent, graded-quasi-coherent, graded-finite-conductor, graded-n-coherent, graded-S-coherent.<\/p>\n\n\n\n

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MSC numbers<\/strong>:<\/span> Primary 13A15; Secondary 13A02.<\/p>\n\n\n\n

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Moroccan Journal of Algebra and Geometry with Applications Latest articles On graded-coherent like properties of commutative graded rings: a survey Anass Assarrar and Najib Mahdou Laboratory of Modeling and Mathematical StructuresFaculty of Science and Technology, Sidi Mohamed ben Abdellah University of Fez, Morocco Pages 288\u2013320 | Received 16 December 2023, Accepted 28 March 2024, Published 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-2405","page","type-page","status-publish","hentry","entry"],"_links":{"self":[{"href":"https:\/\/ced.fst-usmba.ac.ma\/p\/mjaga\/wp-json\/wp\/v2\/pages\/2405","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=2405"}],"version-history":[{"count":9,"href":"https:\/\/ced.fst-usmba.ac.ma\/p\/mjaga\/wp-json\/wp\/v2\/pages\/2405\/revisions"}],"predecessor-version":[{"id":2511,"href":"https:\/\/ced.fst-usmba.ac.ma\/p\/mjaga\/wp-json\/wp\/v2\/pages\/2405\/revisions\/2511"}],"wp:attachment":[{"href":"https:\/\/ced.fst-usmba.ac.ma\/p\/mjaga\/wp-json\/wp\/v2\/media?parent=2405"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}