{"id":3189,"date":"2026-07-17T19:12:27","date_gmt":"2026-07-17T19:12:27","guid":{"rendered":"https:\/\/ced.fst-usmba.ac.ma\/p\/mjaga\/?page_id=3189"},"modified":"2026-07-17T19:55:21","modified_gmt":"2026-07-17T19:55:21","slug":"canonical-solution-of-universal-problem-for-the-prolongation-of-algebra-by-a-local-algebra","status":"publish","type":"page","link":"https:\/\/ced.fst-usmba.ac.ma\/p\/mjaga\/canonical-solution-of-universal-problem-for-the-prolongation-of-algebra-by-a-local-algebra\/","title":{"rendered":"Canonical solution of universal problem for the prolongation of algebra by a local algebra"},"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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Canonical solution of universal problem for the prolongation of algebra
by a local algebra<\/strong><\/p>\n<\/div>\n<\/div>\n\n\n\n

Bienvenu Roland Bassiloua\\,^1<\/span> and Norbert Mahoungou Moukala<\/strong>\\,^2<\/span> <\/i>
\\,^{1}<\/span> D\u00e9partement de Math\u00e9matiques, Facult\u00e9 des Sciences et Techniques, Universit\u00e9 Marien Ngouabi, B.P69, Brazzaville, Congo.
\\,^{2}<\/span> D\u00e9partement des Sciences Exactes, Ecole Normale Sup\u00e9rieure, Universit\u00e9 Marien Ngouabi, B.P69, Brazzaville, Congo.<\/p>\n\n\n\n

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Pages 26-42 | Received 03 November 2024, Accepted 10 June 2025, Published 17 July 2026 <\/span><\/p>\n\n\n\n

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

In this paper, we introduce the notion of prolongations of algebras by a local algebra. We propose a universal problem for the prolongations of algebras by a local algebra and we describe the existence and uniqueness of the solution of this problem. We provide several propositions which illustrate the properties of functors in the category of prolongations of algebra by a local algebra.<\/p>\n\n\n\n

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Keywords<\/strong>:<\/span> Prolongation of algebra, symmetric algebra, local algebra, categories of algebras.<\/p>\n\n\n\n

MSC numbers<\/strong>:<\/span> Primary 13B02, 16S10; Secondary 16P10, 08C05.<\/p>\n\n\n\n

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Moroccan Journal of Algebra and Geometry with Applications Latest articles Canonical solution of universal problem for the prolongation of algebra by a local algebra Bienvenu Roland Bassiloua and Norbert Mahoungou Moukala D\u00e9partement de Math\u00e9matiques, Facult\u00e9 des Sciences et Techniques, Universit\u00e9 Marien Ngouabi, B.P69, Brazzaville, Congo. D\u00e9partement des Sciences Exactes, Ecole Normale Sup\u00e9rieure, Universit\u00e9 Marien Ngouabi, 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-3189","page","type-page","status-publish","hentry","entry"],"_links":{"self":[{"href":"https:\/\/ced.fst-usmba.ac.ma\/p\/mjaga\/wp-json\/wp\/v2\/pages\/3189","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=3189"}],"version-history":[{"count":5,"href":"https:\/\/ced.fst-usmba.ac.ma\/p\/mjaga\/wp-json\/wp\/v2\/pages\/3189\/revisions"}],"predecessor-version":[{"id":3206,"href":"https:\/\/ced.fst-usmba.ac.ma\/p\/mjaga\/wp-json\/wp\/v2\/pages\/3189\/revisions\/3206"}],"wp:attachment":[{"href":"https:\/\/ced.fst-usmba.ac.ma\/p\/mjaga\/wp-json\/wp\/v2\/media?parent=3189"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}