On the analytic spread and the reduction number of the ideal of maximal minors
نویسنده
چکیده
Abstract: Let m, n, a1, a2, . . . , ar, b1, b2, . . . , br be integers with 1 ≤ a1 < · · · < ar ≤ m and 1 ≤ b1 < · · · < br ≤ n. And let x be the universal m× n matrix with the property that i-minors of first ai − 1 rows and first bi − 1 columns are all zero, for i = 1, . . . , r+1 (ar+1 := m+1 and br+1 := n+1). For an integer u with 1 ≤ u ≤ m, we denote by U the u×n matrix consisting of the first u rows of x. In this paper, we consider the analytic spread and the reduction number of the ideal of maximal minors of U
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Results on Generalization of Burch’s Inequality and the Depth of Rees Algebra and Associated Graded Rings of an Ideal with Respect to a Cohen-Macaulay Module
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