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Strongly Cohen‐Macaulay Ideals of Small Second Analytic Deviation
Author(s) -
Corso Alberto,
Polini Claudia
Publication year - 2001
Publication title -
bulletin of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.396
H-Index - 48
eISSN - 1469-2120
pISSN - 0024-6093
DOI - 10.1112/s0024609301008360
Subject(s) - mathematics , ideal (ethics) , range (aeronautics) , pure mathematics , standard deviation , statistics , epistemology , philosophy , materials science , composite material
In this paper, the strongly Cohen‐Macaulay ideals of second analytic deviation one are characterized in terms of the 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. 2000 Mathematics Subject Classification 13H10 (primary), 13C40, 13D02, 13D25 (secondary).