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E-Books | Biblioteca da FCTUNL Online | Não Ficção | QA251. FCT 97205 (Browse shelf) | 1 | Available |
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QA251. FCT 96712 Introduction to the representation theory of algebras | QA251. FCT 97135 Extended abstracts spring 2015 | QA251. FCT 97150 Module theory, extending modules and generalizations | QA251. FCT 97205 Minimal free resolutions over complete intersections | QA251. FCT 97425 Computational linear and commutative algebra | QA251. FCT 97469 Groups, matrices, and vector spaces | QA251. FCT 97705 Formal matrices |
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This book introduces a theory of higher matrix factorizations for regular sequences and uses it to describe the minimal free resolutions of high syzygy modules over complete intersections. Such resolutions have attracted attention ever since the elegant construction of the minimal free resolution of the residue field by Tate in 1957. The theory extends the theory of matrix factorizations of a non-zero divisor, initiated by Eisenbud in 1980, which yields a description of the eventual structure of minimal free resolutions over a hypersurface ring. Matrix factorizations have had many other uses in a wide range of mathematical fields, from singularity theory to mathematical physics.
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