{"id":786,"date":"2026-06-08T13:25:25","date_gmt":"2026-06-08T16:25:25","guid":{"rendered":"https:\/\/daext.gp.utfpr.edu.br\/?p=786"},"modified":"2026-06-10T13:44:12","modified_gmt":"2026-06-10T16:44:12","slug":"professor-do-departamento-academico-de-exatas-publica-livro-sobre-algebras-alternativas","status":"publish","type":"post","link":"https:\/\/daext.gp.utfpr.edu.br\/?p=786","title":{"rendered":"Professor do Departamento Acad\u00eamico de Exatas publica livro sobre \u00c1lgebras Alternativas"},"content":{"rendered":"<p>O Departamento Acad\u00eamico de Exatas registra a publica\u00e7\u00e3o do livro Uma Breve Introdu\u00e7\u00e3o \u00e0s \u00c1lgebras Alternativas, de autoria do professor Bruno Leonardo Macedo Ferreira, docente e pesquisador da Universidade Tecnol\u00f3gica Federal do Paran\u00e1.<\/p>\n<p>Publicado pela Bukhtishu Press, o livro apresenta uma introdu\u00e7\u00e3o ao estudo das \u00e1lgebras alternativas, uma importante classe de \u00e1lgebras n\u00e3o associativas, com \u00eanfase tanto em seus fundamentos estruturais quanto em aplica\u00e7\u00f5es relacionadas \u00e0 aditividade de fun\u00e7\u00f5es. A obra est\u00e1 dispon\u00edvel nos formatos capa dura, brochura e e-book PDF. A obra pode ser encontrada pelo DOI: <span class=\"value\">10.64721\/9786199398623<\/span><\/p>\n<p>A primeira parte do livro aborda conceitos fundamentais da teoria, incluindo exemplos como os quat\u00e9rnios, os oct\u00f4nios e os split-oct\u00f4nios, al\u00e9m de temas como identidades alternativas, identidades de Moufang, Teorema de Artin, decomposi\u00e7\u00e3o de Peirce, processo de Cayley-Dickson, primalidade e semiprimalidade. A segunda parte \u00e9 dedicada ao estudo de aplica\u00e7\u00f5es sobre \u00e1lgebras alternativas, com destaque para isomorfismos multiplicativos, deriva\u00e7\u00f5es multiplicativas, n-isomorfismos multiplicativos e n-deriva\u00e7\u00f5es multiplicativas.<\/p>\n<p>A proposta da obra \u00e9 oferecer uma exposi\u00e7\u00e3o did\u00e1tica e matematicamente rigorosa, servindo como material de apoio para estudantes de gradua\u00e7\u00e3o avan\u00e7ada, p\u00f3s-gradua\u00e7\u00e3o, docentes e pesquisadores interessados em \u00e1lgebras n\u00e3o associativas e em problemas relacionados \u00e0 aditividade de aplica\u00e7\u00f5es.<\/p>\n<p>A publica\u00e7\u00e3o tamb\u00e9m contribui para a divulga\u00e7\u00e3o da produ\u00e7\u00e3o cient\u00edfica desenvolvida no \u00e2mbito da \u00e1rea de Matem\u00e1tica, refor\u00e7ando a presen\u00e7a de pesquisadores vinculados \u00e0 UTFPR em temas especializados da \u00c1lgebra contempor\u00e2nea.<\/p>\n<p>Mais informa\u00e7\u00f5es sobre a obra est\u00e3o dispon\u00edveis no <a href=\"https:\/\/bscipress.com\/press\/catalog\/book\/6\">site da editora Bukhtishu Press<\/a>.<\/p>\n<p><a href=\"https:\/\/daext.gp.utfpr.edu.br\/wp-content\/uploads\/2026\/06\/logoasiatico.png\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/daext.gp.utfpr.edu.br\/wp-content\/uploads\/2026\/06\/logoasiatico-150x150.png\" width=\"150\" height=\"150\" alt=\"logoasiatico\" style=\"display:inline-block\"><\/a> <a href=\"https:\/\/daext.gp.utfpr.edu.br\/wp-content\/uploads\/2026\/06\/WhatsApp-Image-2026-06-03-at-22.43.04-e1781109453423.jpeg\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/daext.gp.utfpr.edu.br\/wp-content\/uploads\/2026\/06\/WhatsApp-Image-2026-06-03-at-22.43.04-e1781109453423-150x150.jpeg\" width=\"150\" height=\"150\" alt=\"WhatsApp-Image-2026-06-03-at-22.43.04.jpeg\" style=\"display:inline-block\"><\/a> <\/p>","protected":false},"excerpt":{"rendered":"<p>O Departamento Acad\u00eamico de Exatas registra a publica\u00e7\u00e3o do livro Uma Breve Introdu\u00e7\u00e3o \u00e0s \u00c1lgebras Alternativas, de autoria do professor Bruno Leonardo Macedo Ferreira, docente e pesquisador da Universidade Tecnol\u00f3gica Federal do Paran\u00e1. Publicado pela Bukhtishu Press, o livro apresenta uma introdu\u00e7\u00e3o ao estudo das \u00e1lgebras alternativas, uma importante classe de \u00e1lgebras n\u00e3o associativas, com [&hellip;]<\/p>\n","protected":false},"author":2,"featured_media":788,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_acf_changed":false,"tpgb_global_settings":"","_uag_custom_page_level_css":"","footnotes":""},"categories":[1],"tags":[37],"class_list":["post-786","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-sem-categoria","tag-algebra-nao-associativa"],"acf":[],"tpgb_featured_images":{"full":["https:\/\/daext.gp.utfpr.edu.br\/wp-content\/uploads\/2026\/06\/WhatsApp-Image-2026-06-03-at-22.43.04-e1781109453423.jpeg",1122,947,false],"tp-image-grid":["https:\/\/daext.gp.utfpr.edu.br\/wp-content\/uploads\/2026\/06\/WhatsApp-Image-2026-06-03-at-22.43.04-e1781109453423-700x700.jpeg",700,700,true],"thumbnail":["https:\/\/daext.gp.utfpr.edu.br\/wp-content\/uploads\/2026\/06\/WhatsApp-Image-2026-06-03-at-22.43.04-e1781109453423-150x150.jpeg",150,150,true],"medium":["https:\/\/daext.gp.utfpr.edu.br\/wp-content\/uploads\/2026\/06\/WhatsApp-Image-2026-06-03-at-22.43.04-e1781109453423-300x253.jpeg",300,253,true],"medium_large":["https:\/\/daext.gp.utfpr.edu.br\/wp-content\/uploads\/2026\/06\/WhatsApp-Image-2026-06-03-at-22.43.04-e1781109453423-768x648.jpeg",768,648,true],"large":["https:\/\/daext.gp.utfpr.edu.br\/wp-content\/uploads\/2026\/06\/WhatsApp-Image-2026-06-03-at-22.43.04-e1781109453423-1024x864.jpeg",1024,864,true],"default":"https:\/\/daext.gp.utfpr.edu.br\/wp-content\/plugins\/the-plus-addons-for-block-editor\/assets\/images\/tpgb-placeholder.jpg"},"tpgb_post_meta_info":{"get_date":"8 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src='https:\/\/secure.gravatar.com\/avatar\/19401c2afd4e095d6e2b86539641edb4559f0aad8bc6091c8414a7c586528eb5?s=200&#038;d=mm&#038;r=g' srcset='https:\/\/secure.gravatar.com\/avatar\/19401c2afd4e095d6e2b86539641edb4559f0aad8bc6091c8414a7c586528eb5?s=400&#038;d=mm&#038;r=g 2x' class='avatar avatar-200 photo' height='200' width='200' loading='lazy' decoding='async'\/>","author_avatar_url":"https:\/\/secure.gravatar.com\/avatar\/19401c2afd4e095d6e2b86539641edb4559f0aad8bc6091c8414a7c586528eb5?s=96&d=mm&r=g","comment_count":0,"post_likes":0,"post_views":0},"tpgb_post_category":{"category":"<a href=\"https:\/\/daext.gp.utfpr.edu.br\/?cat=1\" alt=\"Sem categoria\"  class=\"category-sem-categoria\">Sem categoria<\/a> ","post_tag":"<a href=\"https:\/\/daext.gp.utfpr.edu.br\/?tag=algebra-nao-associativa\" alt=\"\u00c1lgebra n\u00e3o associativa\"  class=\"post_tag-algebra-nao-associativa\">\u00c1lgebra n\u00e3o associativa<\/a> "},"uagb_featured_image_src":{"full":["https:\/\/daext.gp.utfpr.edu.br\/wp-content\/uploads\/2026\/06\/WhatsApp-Image-2026-06-03-at-22.43.04-e1781109453423.jpeg",1122,947,false],"thumbnail":["https:\/\/daext.gp.utfpr.edu.br\/wp-content\/uploads\/2026\/06\/WhatsApp-Image-2026-06-03-at-22.43.04-e1781109453423-150x150.jpeg",150,150,true],"medium":["https:\/\/daext.gp.utfpr.edu.br\/wp-content\/uploads\/2026\/06\/WhatsApp-Image-2026-06-03-at-22.43.04-e1781109453423-300x253.jpeg",300,253,true],"medium_large":["https:\/\/daext.gp.utfpr.edu.br\/wp-content\/uploads\/2026\/06\/WhatsApp-Image-2026-06-03-at-22.43.04-e1781109453423-768x648.jpeg",768,648,true],"large":["https:\/\/daext.gp.utfpr.edu.br\/wp-content\/uploads\/2026\/06\/WhatsApp-Image-2026-06-03-at-22.43.04-e1781109453423-1024x864.jpeg",1024,864,true],"1536x1536":["https:\/\/daext.gp.utfpr.edu.br\/wp-content\/uploads\/2026\/06\/WhatsApp-Image-2026-06-03-at-22.43.04-e1781109453423.jpeg",1122,947,false],"2048x2048":["https:\/\/daext.gp.utfpr.edu.br\/wp-content\/uploads\/2026\/06\/WhatsApp-Image-2026-06-03-at-22.43.04-e1781109453423.jpeg",1122,947,false],"tp-image-grid":["https:\/\/daext.gp.utfpr.edu.br\/wp-content\/uploads\/2026\/06\/WhatsApp-Image-2026-06-03-at-22.43.04-e1781109453423-700x700.jpeg",700,700,true]},"uagb_author_info":{"display_name":"daext guarapuava","author_link":"https:\/\/daext.gp.utfpr.edu.br\/?author=2"},"uagb_comment_info":0,"uagb_excerpt":"O Departamento Acad\u00eamico de Exatas registra a publica\u00e7\u00e3o do livro Uma Breve Introdu\u00e7\u00e3o \u00e0s \u00c1lgebras Alternativas, de autoria do professor Bruno Leonardo Macedo Ferreira, docente e pesquisador da Universidade Tecnol\u00f3gica Federal do Paran\u00e1. Publicado pela Bukhtishu Press, o livro apresenta uma introdu\u00e7\u00e3o ao estudo das \u00e1lgebras alternativas, uma importante classe de \u00e1lgebras n\u00e3o associativas, com&hellip;","_links":{"self":[{"href":"https:\/\/daext.gp.utfpr.edu.br\/index.php?rest_route=\/wp\/v2\/posts\/786","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/daext.gp.utfpr.edu.br\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/daext.gp.utfpr.edu.br\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/daext.gp.utfpr.edu.br\/index.php?rest_route=\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/daext.gp.utfpr.edu.br\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=786"}],"version-history":[{"count":3,"href":"https:\/\/daext.gp.utfpr.edu.br\/index.php?rest_route=\/wp\/v2\/posts\/786\/revisions"}],"predecessor-version":[{"id":793,"href":"https:\/\/daext.gp.utfpr.edu.br\/index.php?rest_route=\/wp\/v2\/posts\/786\/revisions\/793"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/daext.gp.utfpr.edu.br\/index.php?rest_route=\/wp\/v2\/media\/788"}],"wp:attachment":[{"href":"https:\/\/daext.gp.utfpr.edu.br\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=786"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/daext.gp.utfpr.edu.br\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=786"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/daext.gp.utfpr.edu.br\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=786"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}