Permanental Ideals
classification
🧮 math.AC
keywords
idealspermanentalalmostalwayscohen-macaulaycomponentscontrastdecomposition
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The principal result is a primary decomposition of ideals generated by the (2x2)-subpermanents of a generic matrix. These permanental ideals almost always have embedded components and their minimal primes are of three distinct heights. Thus the permanental ideals are almost never Cohen-Macaulay, in contrast with determinantal ideals.
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