
arXiv: math/9812112
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.
13 pages
Algebra and Number Theory, characteristic, Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases), Mathematics - Commutative Algebra, Commutative Algebra (math.AC), Polynomial rings and ideals; rings of integer-valued polynomials, Computational Mathematics, permanental ideals, FOS: Mathematics, determinantal ideals, Gröbner bases, 13C05, 13P10, Linkage, complete intersections and determinantal ideals
Algebra and Number Theory, characteristic, Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases), Mathematics - Commutative Algebra, Commutative Algebra (math.AC), Polynomial rings and ideals; rings of integer-valued polynomials, Computational Mathematics, permanental ideals, FOS: Mathematics, determinantal ideals, Gröbner bases, 13C05, 13P10, Linkage, complete intersections and determinantal ideals
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