{"id":2284,"date":"2024-06-29T12:13:10","date_gmt":"2024-06-29T12:13:10","guid":{"rendered":"https:\/\/ced.fst-usmba.ac.ma\/p\/mjaga\/?page_id=2284"},"modified":"2024-06-30T00:15:13","modified_gmt":"2024-06-30T00:15:13","slug":"weakly-uniformly-graded-coherent-rings","status":"publish","type":"page","link":"https:\/\/ced.fst-usmba.ac.ma\/p\/mjaga\/weakly-uniformly-graded-coherent-rings\/","title":{"rendered":"Weakly uniformly graded-coherent rings"},"content":{"rendered":"\n
<\/div>\n\n\n\n
\n
<\/div>\n\n\n\n
\n
\"\"<\/figure>\n<\/div>\n\n\n\n
\n

Moroccan Journal of Algebra and Geometry with Applications<\/strong><\/p>\n\n\n\n

Latest articles<\/a><\/p>\n<\/div>\n\n\n\n

\n
<\/div>\n<\/div>\n\n\n\n
<\/div>\n\n\n\n
<\/div>\n<\/div>\n\n\n\n
\n
\n

Weakly uniformly graded-coherent rings<\/strong><\/p>\n<\/div>\n<\/div>\n\n\n\n

Abdelkbir Riffi <\/strong><\/i>
Laboratory of Mathematics and applications (LMA), Department of Mathematics,
Faculty of Sciences, Ibn Zohr University, Agadir, Morocco.<\/p>\n\n\n\n

<\/div>\n\n\n\n

Pages 219-231 | Received 20 October 2023, Accepted 17 January 2024, Published 30 June 2024 <\/span><\/p>\n\n\n\n

<\/div>\n\n\n\n
\n
<\/div>\n\n\n\n
\n
<\/div>\n\n\n\n

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

Let R=\\bigoplus_{\\alpha\\in\\Gamma}R_\\alpha<\/span> be a ring graded by an arbitrary grading abelian group \\Gamma<\/span>. We say that R<\/span> is a weakly uniformly graded-coherent ring if there is a map \\phi:\\mathbb{N}\\rightarrow\\mathbb{N}<\/span> such that for every n\\in\\mathbb{N}<\/span>, and any nonzero graded R<\/span>-module homomorphism f:\\bigoplus_{i=1}^{n}R(-\\lambda_{i})\\rightarrow R<\/span> of degree 0<\/span>, where \\lambda_{1},\\ldots,\\lambda_{n}<\/span> are degrees in \\Gamma,\\ ker\\,f<\/span> can be generated by \\phi(n)<\/span> elements (not necessary homogeneous). In this paper, we provide the elementary properties of weakly uniformly graded-coherent rings.<\/p>\n\n\n\n

<\/p>\n\n\n\n

Keywords<\/strong>:<\/span>  Weakly uniformly graded-coherent, uniformly graded-coherent, graded-coherent, uniformly coherent, coherent, graded modules and rings.<\/p>\n\n\n\n

MSC numbers<\/strong>:<\/span> 13A02, 13A15.<\/p>\n\n\n\n

Downloads:<\/strong> Full-text PDF<\/a><\/p>\n<\/div>\n\n\n\n

<\/div>\n<\/div>\n\n\n\n
\n
<\/div>\n\n\n\n
MJAGA_Vol3_Iss1_11_219_231_Bis<\/a><\/div>\n\n\n\n
<\/div>\n<\/div>\n\n\n\n
<\/div>\n\n\n\n
\n
\n
\n
Previous article <\/a><\/div>\n<\/div>\n<\/div>\n\n\n\n
\n
\n
View<\/strong> issue table of contents<\/a><\/div>\n<\/div>\n<\/div>\n\n\n\n
\n
\n
Next<\/strong> article<\/a><\/div>\n<\/div>\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"

Moroccan Journal of Algebra and Geometry with Applications Latest articles Weakly uniformly graded-coherent rings Abdelkbir Riffi  Laboratory of Mathematics and applications (LMA), Department of Mathematics,Faculty of Sciences, Ibn Zohr University, Agadir, Morocco. Pages 219-231 | Received 20 October 2023, Accepted 17 January 2024, Published 30 June 2024 Abstract Let be a ring graded by an 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-2284","page","type-page","status-publish","hentry","entry"],"_links":{"self":[{"href":"https:\/\/ced.fst-usmba.ac.ma\/p\/mjaga\/wp-json\/wp\/v2\/pages\/2284","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=2284"}],"version-history":[{"count":6,"href":"https:\/\/ced.fst-usmba.ac.ma\/p\/mjaga\/wp-json\/wp\/v2\/pages\/2284\/revisions"}],"predecessor-version":[{"id":2323,"href":"https:\/\/ced.fst-usmba.ac.ma\/p\/mjaga\/wp-json\/wp\/v2\/pages\/2284\/revisions\/2323"}],"wp:attachment":[{"href":"https:\/\/ced.fst-usmba.ac.ma\/p\/mjaga\/wp-json\/wp\/v2\/media?parent=2284"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}