Higher Fitting ideals Sample Clauses

Higher Fitting ideals. ‌ In this section, we recall the notion of (higher) Fitting ideals. A standard reference for material presented here is [57]. At the outset, we let R be a commutative Noetherian unital ring and M be a finitely generated R-module. In this setting, there is an exact sequence of R-modules of the form Rm → M → 0. (2.2) An exact sequence of the form (2.2) is called a presentation of M . In the case when m = n, we say that M has a quadratic presentation. Let A be a n × m matrix representing the R-linear morphism φ in the sequence (2.2).
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