Initial algebras of determinantal rings, Cohen-Macaulay and Ulrich ideals
نویسندگان
چکیده
منابع مشابه
Initial Algebras of Determinantal Rings, Cohen–Macaulay and Ulrich Ideals
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: Michigan Mathematical Journal
سال: 2005
ISSN: 0026-2285
DOI: 10.1307/mmj/1114021085