Submitted by ANA KARLA PEREIRA RODRIGUES (anakarla_@hotmail.com) on 2017-08-16T11:59:48Z No. of bitstreams: 1 arquivototal.pdf: 1814472 bytes, checksum: 50307319d745b002230f3dadb2039246 (MD5) / Made available in DSpace on 2017-08-16T11:59:48Z (GMT). No. of bitstreams: 1 arquivototal.pdf: 1814472 bytes, checksum: 50307319d745b002230f3dadb2039246 (MD5) Previous issue date: 2016-08-09 / Conselho Nacional de Pesquisa e Desenvolvimento Científico e Tecnológico - CNPq / In this dissertation, we study the so-called totally re°exive modules and the notion of Goren-stein dimension over Noetherian commutative rings. The main purpose is to prove the important Auslander-Bridger formula and the Gorenstein theorem, which will allow us to characterize Goren-stein local rings through total re°exivity, as well as to provide su±cient conditions for the property of G-regularity. We furnish, moreover, interesting examples and counterexamples. / Nesta disserta»c~ao, estudamos os chamados m¶odulos totalmente re°exivos e a no»c~ao de dimens~ao de Gorenstein sobre an¶eis comutativos Noetherianos. A principal ¯nalidade ¶e demonstrar a impor- tante f¶ormula de Auslander-Bridger e o Teorema de Gorenstein, o que permitir¶a caracterizar an¶eis locais Gorenstein atrav¶es de re°exividade total, bem como apresentar condi»c~oes su¯cientes para a propriedade de G-regularidade. Fornecemos, tamb¶em, exemplos e contra-exemplos interessantes.