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Full-Text Articles in Physical Sciences and Mathematics
Decompositions Of Ideals Of Minors Meeting A Submatrix, Kent M. Neuerburg, Zach Teitler
Decompositions Of Ideals Of Minors Meeting A Submatrix, Kent M. Neuerburg, Zach Teitler
Mathematics Faculty Publications and Presentations
We compute the primary decomposition of certain ideals generated by subsets of minors in a generic matrix or in a generic symmetric matrix, or subsets of Pfaffians in a generic skew-symmetric matrix. Specifically, the ideals we consider are generated by minors that have at least some given number of rows and columns in certain submatrices.