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<!DOCTYPE html><html><head><title>Estruturas Alg茅bricas para Licenciatura - Vol. 3: Elementos de 脕lgebra Moderna - Jhone Caldeira Silva, Olimpio Ribeiro Gomes - Google Books</title><link rel="stylesheet" href="/books/css/_a33f2a89320471e58c940b9287b9d4eb/kl_about_this_book_kennedy_full_bundle.css" type="text/css" /><link rel="stylesheet"href="https://fonts.googleapis.com/css2?family=Product+Sans:wght@400"><script src="/books/javascript/atb_a33f2a89320471e58c940b9287b9d4eb__en.js"></script><link rel="canonical" href="https://books.google.com/books/about/Estruturas_Alg%C3%A9bricas_para_Licenciatura.html?id=CQkVEAAAQBAJ"/><meta property="og:url" content="https://books.google.com/books/about/Estruturas_Alg%C3%A9bricas_para_Licenciatura.html?id=CQkVEAAAQBAJ"/><meta name="title" content="Estruturas Alg茅bricas para Licenciatura - Vol. 3"/><meta name="description" content="Estruturas Alg茅bricas para Licenciatura 茅 um conjunto de obras que visa auxiliar professores e alunos no processo de ensino e aprendizagem de fundamentos b谩sicos de Matem谩tica, da teoria de conjuntos e das principais estruturas alg茅bricas. Buscamos sanar dificuldades relacionadas 脿 linguagem e ao conte煤do, oferecendo textos dialogados e ricos em detalhes. As demonstra莽玫es s茫o desenvolvidas com clareza; exemplos e exerc铆cios s茫o apresentados com o intuito de facilitar o entendimento e a aplica莽茫o dos resultados. Ao final de cada livro, apresentamos respostas de alguns exerc铆cios propostos. Neste volume, Elementos de 脕lgebra Moderna, abordamos o estudo das estruturas alg茅bricas b谩sicas: grupos, an茅is e corpos, partindo do estudo detalhado das opera莽玫es bin谩rias, passando pelos principais t贸picos da 脕lgebra Moderna, at茅 os an茅is de polin么mios."/><meta property="og:title" content="Estruturas Alg茅bricas para Licenciatura - Vol. 3"/><meta property="og:type" content="book"/><meta property="og:site_name" content="Google Books"/><meta property="og:image" content="https://books.google.com.sg/books/publisher/content?id=CQkVEAAAQBAJ&printsec=frontcover&img=1&zoom=1&edge=curl&imgtk=AFLRE71ao4InyWiQMDCBD27jAk92O82WxSM38VXz-_EborWZuFlOh_4xacy6DoAdtX5nRMW6KnFIjSsAjg022jmy2jZDRhhEwc8jBfuXRvteJzQ9BljuD9EELVXzHmOsaiAJqcC2Z8gp"/><link rel="image_src" href="https://books.google.com.sg/books/publisher/content?id=CQkVEAAAQBAJ&printsec=frontcover&img=1&zoom=1&edge=curl&imgtk=AFLRE71ao4InyWiQMDCBD27jAk92O82WxSM38VXz-_EborWZuFlOh_4xacy6DoAdtX5nRMW6KnFIjSsAjg022jmy2jZDRhhEwc8jBfuXRvteJzQ9BljuD9EELVXzHmOsaiAJqcC2Z8gp"/><script></script><style>#gbar,#guser{font-size:13px;padding-top:1px !important;}#gbar{height:22px}#guser{padding-bottom:7px !important;text-align:right}.gbh,.gbd{border-top:1px solid #c9d7f1;font-size:1px}.gbh{height:0;position:absolute;top:24px;width:100%}@media all{.gb1{height:22px;margin-right:.5em;vertical-align:top}#gbar{float:left}}a.gb1,a.gb4{text-decoration:underline !important}a.gb1,a.gb4{color:#00c !important}.gbi .gb4{color:#dd8e27 !important}.gbf .gb4{color:#900 !important} #gbar { padding:.3em .6em !important;}</style></head><body class=""><div id=gbar><nobr><a target=_blank class=gb1 href="https://www.google.com.sg/search?tab=pw">Search</a> <a target=_blank class=gb1 href="https://www.google.com.sg/imghp?hl=en&tab=pi">Images</a> <a target=_blank class=gb1 href="https://maps.google.com.sg/maps?hl=en&tab=pl">Maps</a> <a target=_blank class=gb1 href="https://play.google.com/?hl=en&tab=p8">Play</a> <a target=_blank class=gb1 href="https://www.youtube.com/?tab=p1">YouTube</a> <a target=_blank class=gb1 href="https://news.google.com/?tab=pn">News</a> <a target=_blank class=gb1 href="https://mail.google.com/mail/?tab=pm">Gmail</a> <a target=_blank class=gb1 href="https://drive.google.com/?tab=po">Drive</a> <a target=_blank class=gb1 style="text-decoration:none" href="https://www.google.com.sg/intl/en/about/products?tab=ph"><u>More</u> »</a></nobr></div><div id=guser width=100%><nobr><span id=gbn class=gbi></span><span id=gbf class=gbf></span><span id=gbe></span><a target=_top id=gb_70 href="https://www.google.com/accounts/Login?service=print&continue=https://books.google.com.sg/books%3Fid%3DCQkVEAAAQBAJ%26dq%3D%2522Subgrupo%2Bcomutador%2522%26source%3Dgbs_navlinks_s%26hl%3Den&hl=en&ec=GAZACg" class=gb4>Sign in</a></nobr></div><div class=gbh style=left:0></div><div class=gbh style=right:0></div><div role="alert" style="position: absolute; left: 0; right: 0;"><a href="https://books.google.com.sg/books?id=CQkVEAAAQBAJ&dq=%22Subgrupo+comutador%22&source=gbs_navlinks_s&hl=en&output=html_text" title="Screen reader users: click this link for accessible mode. 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Buscamos sanar dificuldades relacionadas 脿 linguagem e ao conte煤do, oferecendo textos dialogados e ricos em detalhes. As demonstra莽玫es s茫o desenvolvidas com clareza; exemplos e exerc铆cios s茫o apresentados com o intuito de facilitar o entendimento e a aplica莽茫o dos resultados. Ao final de cada livro, apresentamos respostas de alguns exerc铆cios propostos. Neste volume, Elementos de 脕lgebra Moderna, abordamos o estudo das estruturas alg茅bricas b谩sicas: grupos, an茅is e corpos, partindo do estudo detalhado das opera莽玫es bin谩rias, passando pelos principais t贸picos da 脕lgebra Moderna, at茅 os an茅is de polin么mios.</div></div></div><div class="search_box_wrapper"><form action=/books id=search_form style="margin:0px;padding:0px;" method=get> <input type=hidden name="id" value="CQkVEAAAQBAJ"><input type=hidden name="dq" value=""Subgrupo comutador""><table cellpadding=0 cellspacing=0 class="swv-table"><tr><td class="swv-td-search"><span><input id=search_form_input type=text maxlength=1024 class="text_flat swv-input-search" aria-label="Search in this book" name=q value="" title="Search inside" accesskey=i></span></td><td class="swv-td-space"><div> </div></td><td><input type=submit value="Search inside"></td></tr></table><script type="text/javascript">if (window['_OC_autoDir']) {_OC_autoDir('search_form_input');}</script></form><div id="preview-link"><a href="https://books.google.com.sg/books?id=CQkVEAAAQBAJ&printsec=frontcover" class="primary"><span dir=ltr>Preview this book</span> »</a></div></div></td> </tr></table><div id="summary-second-column"></div></div></div></div></div><div class=vertical_module_list_row><h3 class=about_title><a name="toc_anchor"></a>Contents</h3><div id=toc class=about_content><div id=toc_v><div class="first_toc_column"><div class="first_toc_pad"><table><tr><td class="toc_entry"><div class="toc_entry"><a class="primary" href="https://books.google.com.sg/books?id=CQkVEAAAQBAJ&pg=PA5&dq=%22Subgrupo+comutador%22&source=gbs_toc_r&cad=1" ><span title="APRESENTA脟脙O" style="white-space:nowrap"><span dir=ltr>APRESENTA脟脙O</span></span></a></div></td><td class="toc_number" align=right>5</td></tr><tr><td class="toc_border"> </td><td class="toc_border"></td></tr><tr><td class="toc_entry"><div class="toc_entry"><a class="primary" href="https://books.google.com.sg/books?id=CQkVEAAAQBAJ&pg=PA7&dq=%22Subgrupo+comutador%22&source=gbs_toc_r&cad=1" ><span title="AGRADECIMENTOS" style="white-space:nowrap"><span dir=ltr>AGRADECIMENTOS</span></span></a></div></td><td class="toc_number" align=right>7</td></tr><tr><td class="toc_border"> </td><td class="toc_border"></td></tr><tr><td class="toc_entry"><div class="toc_entry"><a class="primary" href="https://books.google.com.sg/books?id=CQkVEAAAQBAJ&pg=PA9&dq=%22Subgrupo+comutador%22&source=gbs_toc_r&cad=1" ><span title="PREF脕CIO" style="white-space:nowrap"><span dir=ltr>PREF脕CIO</span></span></a></div></td><td class="toc_number" align=right>9</td></tr><tr><td class="toc_border"> </td><td class="toc_border"></td></tr><tr><td class="toc_entry"><div class="toc_entry"><a class="primary" href="https://books.google.com.sg/books?id=CQkVEAAAQBAJ&pg=PA13&dq=%22Subgrupo+comutador%22&source=gbs_toc_r&cad=1" ><span title="CONTE脷DO" style="white-space:nowrap"><span dir=ltr>CONTE脷DO</span></span></a></div></td><td class="toc_number" align=right>13</td></tr><tr><td class="toc_border"> </td><td class="toc_border"></td></tr><tr><td class="toc_entry"><div class="toc_entry"><a class="primary" href="https://books.google.com.sg/books?id=CQkVEAAAQBAJ&pg=PA19&dq=%22Subgrupo+comutador%22&source=gbs_toc_r&cad=1" ><span title="1 T脫PICOS PRELIMINARES" style="white-space:nowrap"><span dir=ltr>1 T脫PICOS PRELIMINARES</span></span></a></div></td><td class="toc_number" align=right>19</td></tr><tr><td class="toc_border"> </td><td class="toc_border"></td></tr><tr><td class="toc_entry"><div class="toc_entry"><span style="white-space:nowrap"><span dir=ltr>2 OPERA脟脮ES BIN脕RIAS</span></span></div></td><td class="toc_number" align=right>63</td></tr><tr><td class="toc_border"> </td><td class="toc_border"></td></tr></table></div></div><div class="second_toc_column"><div class="second_toc_pad"><table><tr><td class="toc_entry"><div class="toc_entry"><span style="white-space:nowrap"><span dir=ltr>3 PROPRIEDADES DAS OPERA脟脮ES BIN脕RIAS</span></span></div></td><td class="toc_number" align=right>93</td></tr><tr><td class="toc_border"> </td><td class="toc_border"></td></tr><tr><td class="toc_entry"><div class="toc_entry"><span style="white-space:nowrap"><span dir=ltr>4 ELEMENTOS DA TEORIA DE GRUPOS PARTE I</span></span></div></td><td class="toc_number" align=right>143</td></tr><tr><td class="toc_border"> </td><td class="toc_border"></td></tr><tr><td class="toc_entry"><div class="toc_entry"><span style="white-space:nowrap"><span dir=ltr>5 ELEMENTOS DA TEORIA DE GRUPOS PARTE II</span></span></div></td><td class="toc_number" align=right>203</td></tr><tr><td class="toc_border"> </td><td class="toc_border"></td></tr><tr><td class="toc_entry"><div class="toc_entry"><span style="white-space:nowrap"><span dir=ltr>6 ELEMENTOS DA TEORIA DE AN脡IS</span></span></div></td><td class="toc_number" align=right>305</td></tr><tr><td class="toc_border"> </td><td class="toc_border"></td></tr><tr><td class="toc_entry"><div class="toc_entry"><a class="primary" href="https://books.google.com.sg/books?id=CQkVEAAAQBAJ&printsec=copyright" ><span title="Copyright" style="white-space:nowrap"><span dir=ltr>Copyright</span></span></a></div></td><td class="toc_number" align=right></td></tr><tr><td class="toc_border"> </td><td class="toc_border"></td></tr></table></div></div><br style="clear:both;"/></div><div style="clear:left; height:1em"></div></div></div><div class=vertical_module_list_row><h3 class=about_title><a name="about_author_anchor"></a>About the author <span style="color:#666; font-weight:normal">(2021)</span></h3><div id=about_author class=about_content><div id=about_author_v><div class=textmodulecontent>Jhone Caldeira Silva 脡 bacharel e licenciado em Matem谩tica pela Universidade Federal de Vi莽osa (UFV), mestre e doutor em Matem谩tica pela Universidade de Bras铆lia (UnB), com doutorado sandu铆che na Universidad Aut贸noma de Madrid. Desde 2004, atua como professor de cursos de gradua莽茫o e p贸s-gradua莽茫o com experi锚ncia na UnB e em institui莽玫es de ensino superior no Distrito Federal e em Goi谩s. Desde 2009, 茅 professor do Instituto de Matem谩tica e Estat铆stica da Universidade Federal de Goi谩s (IME-UFG). Olimpio Ribeiro Gomes 脡 bacharel, mestre e doutor em Matem谩tica pela Universidade de Bras铆lia (UnB). Como professor, atua profissionalmente desde 1999, tendo ministrado aulas em escolas de Ensino Fundamental e M茅dio, em preparat贸rios para vestibulares e concursos e em cursos de gradua莽茫o e p贸s-gradua莽茫o. Atua tamb茅m como auditor federal de finan莽as e controle do quadro de pessoal da Controladoria-Geral da Uni茫o desde 2008, quando foi selecionado para a 谩rea de Auditoria e Fiscaliza莽茫o/ Estat铆stica e C谩lculos Atuariais.</div></div></div></div><div class=vertical_module_list_row><h3 class="about_title">Bibliographic information</h3><div class="about_content" id="metadata_content" style="padding-bottom:.3em"><div class="metadata_sectionwrap"><table id="metadata_content_table"><tr class="metadata_row"><td class="metadata_label">Title</td><td class="metadata_value"><span dir=ltr>Estruturas Alg茅bricas para Licenciatura - Vol. 3: Elementos de 脕lgebra Moderna</span><br><a class="primary" href="https://www.google.com.sg/search?tbo=p&tbm=bks&q=bibliogroup:%22Estruturas+Alg%C3%A9bricas+para+Licenciatura%22&source=gbs_metadata_r&cad=3"><i><span dir=ltr>Volume 3 of Estruturas Alg茅bricas para Licenciatura</span></i></a></td></tr><tr class="metadata_row"><td class="metadata_label"><span dir=ltr>Authors</span></td><td class="metadata_value"><a class="primary" href="https://www.google.com.sg/search?tbo=p&tbm=bks&q=inauthor:%22Jhone+Caldeira+Silva%22&source=gbs_metadata_r&cad=3"><span dir=ltr>Jhone Caldeira Silva</span></a>, <a class="primary" href="https://www.google.com.sg/search?tbo=p&tbm=bks&q=inauthor:%22Olimpio+Ribeiro+Gomes%22&source=gbs_metadata_r&cad=3"><span dir=ltr>Olimpio Ribeiro Gomes</span></a></td></tr><tr class="metadata_row"><td class="metadata_label"><span dir=ltr>Publisher</span></td><td class="metadata_value"><span dir=ltr>Editora Blucher, 2021</span></td></tr><tr class="metadata_row"><td class="metadata_label"><span dir=ltr>ISBN</span></td><td class="metadata_value"><span dir=ltr>8521218540, 9788521218548</span></td></tr><tr class="metadata_row"><td class="metadata_label"><span dir=ltr>Length</span></td><td class="metadata_value"><span dir=ltr>510 pages</span></td></tr><tr class="metadata_row"><td class="metadata_label"><span dir=ltr>Subjects</span></td><td class="metadata_value"><div style="display:inline" itemscope itemtype="http://data-vocabulary.org/Breadcrumb"><a class="primary" href="https://www.google.com.sg/search?tbo=p&tbm=bks&q=subject:%22Mathematics%22" itemprop="url" dir=ltr><span itemprop="title">Mathematics</span></a></div> › <div style="display:inline" itemscope itemtype="http://data-vocabulary.org/Breadcrumb"><a class="primary" href="https://www.google.com.sg/search?tbo=p&tbm=bks&q=subject:%22Mathematics+Arithmetic%22" itemprop="url" dir=ltr><span itemprop="title">Arithmetic</span></a></div><br><br><a class="primary" href="https://www.google.com.sg/search?tbo=p&tbm=bks&q=subject:%22Mathematics+/+Arithmetic%22&source=gbs_metadata_r&cad=3"><span dir=ltr>Mathematics / Arithmetic</span></a></td></tr><tr class="metadata_row"><td>&nbsp</td><td>&nbsp</td></tr><tr class="metadata_row"><td class="metadata_label"><span dir=ltr>Export Citation</span></td><td class="metadata_value"><a class="gb-button " href="https://books.google.com.sg/books/download/Estruturas_Alg%C3%A9bricas_para_Licenciatura.bibtex?id=CQkVEAAAQBAJ&output=bibtex"><span dir=ltr>BiBTeX</span></a> <a class="gb-button " href="https://books.google.com.sg/books/download/Estruturas_Alg%C3%A9bricas_para_Licenciatura.enw?id=CQkVEAAAQBAJ&output=enw"><span dir=ltr>EndNote</span></a> <a class="gb-button " href="https://books.google.com.sg/books/download/Estruturas_Alg%C3%A9bricas_para_Licenciatura.ris?id=CQkVEAAAQBAJ&output=ris"><span dir=ltr>RefMan</span></a></td></tr></table></div><div style="clear:both"></div></div></div><script>_OC_addFlags({Host:"https://books.google.com.sg/", IsBrowsingHistoryEnabled:1, IsZipitFolderCollectionEnabled:1, IsBooksUnifiedLeftNavEnabled:1, IsBooksRentalEnabled:1});_OC_Run({"is_cobrand":false,"sign_in_url":"https://www.google.com/accounts/Login?service=print\u0026continue=https://books.google.com.sg/books%3Fid%3DCQkVEAAAQBAJ%26dq%3D%2522Subgrupo%2Bcomutador%2522%26source%3Dgbs_navlinks_s%26hl%3Den\u0026hl=en"}, {"volume_id":"CQkVEAAAQBAJ","is_ebook":true,"volumeresult":{"has_flowing_text":false,"has_scanned_text":true,"can_download_pdf":false,"can_download_epub":false,"is_pdf_drm_enabled":false,"is_epub_drm_enabled":false},"sample_url":"https://play.google.com/books/reader?id=CQkVEAAAQBAJ\u0026source=gbs_atb_hover","is_browsable":true,"is_public_domain":false}, {});</script><div id="footer_table" style="font-size:83%;text-align:center;position:relative;top:20px;height:4.5em;margin-top:2em"><div style="margin-bottom:8px"><a href="/intl/en/googlebooks/about.html"><nobr><nobr>About Google Books</nobr></nobr></a> - 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