Some applications of Gr¨obner bases in homological algebra

Authors

  • Oswaldo Lezama Universidad Nacional de Colombia Grupo de Àlgebra Conmutativa Computacional Departamento de Matemáticas

DOI:

https://doi.org/10.11606/issn.2316-9028.v3i1p25-59

Abstract

In this paper we make some computations in homological algebra using Gr¨obner bases for modules over polynomials rings with coefficients in a Noetherian commutative ring. In particular, we show easy procedures for computing the Ext and Tor modules.

Key words and phrases: Gr¨obner bases, syzygies, finite presentation of a module, free resolutions, Ext, Tor. 2000 Mathematics Subject Classification: Primary: 13P10. Secondary: 13D02, 13D07.

 

 

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Published

2009-06-30

Issue

Vol. 3 No. 1 (2009)

Section

Articles

How to Cite

Some applications of Gr¨obner bases in homological algebra. (2009). The São Paulo Journal of Mathematical Sciences, 3(1), 25-59. https://doi.org/10.11606/issn.2316-9028.v3i1p25-59