An introduction to homological algebra

• Grant number: 08/02805-8
• Support Opportunities: Scholarships in Brazil - Scientific Initiation
• Start date: June 01, 2008
• End date: November 30, 2008
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Algebra
• Principal Investigator: Dessislava Hristova Kochloukova
• Grantee: Nuno Filipe de Andrade Cardoso
• Host Institution: Instituto de Matemática, Estatística e Computação Científica (IMECC). Universidade Estadual de Campinas (UNICAMP). Campinas , SP, Brazil

Abstract

We intend to study the base of homological algebra starting with basic properties of tensor product and Hom, direct sum and direct product, direct limits and inverse limits. The next step is to study free, projective and injective modules that will enable us to define the derived functors Tor and Ext, homology and cohomology of groups.