Cohen-Macaulay Rees algebras of ideals having analytic deviation two
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چکیده
منابع مشابه
Strongly Cohen–macaulay Ideals of Small Second Analytic Deviation
We characterize the strongly Cohen–Macaulay ideals of second analytic deviation one in terms of depth properties of the powers of the ideal in the ‘standard range.’ This provides an explanation of the behaviour of certain ideals that have appeared in the literature.
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Let K be a field and X an m×n matrix of indeterminates over K. Let K[X] denote the polynomial ring generated by all the indeterminates Xij . For a given positive integer r ≤ min{m, n}, we consider the determinantal ideal Ir+1 = Ir+1(X) generated by all r + 1 minors of X if r < min{m, n} and Ir+1 = (0) otherwise. Let Rr+1 = Rr+1(X) be the determinantal ring K[X]/Ir+1. Determinantal ideals and ri...
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ژورنال
عنوان ژورنال: Tohoku Mathematical Journal
سال: 1994
ISSN: 0040-8735
DOI: 10.2748/tmj/1178225681