On some properties of (FC)-sequences of ideals in local rings

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On some properties of (FC)-sequences of ideals in local rings

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dc.contributor.author Viet D.Q. vi
dc.date.accessioned 2011-06-08T12:30:54Z
dc.date.available 2011-06-08T12:30:54Z
dc.date.issued 2003 vi
dc.identifier.citation Volume 131, Issue 1, Page 45-53 vi
dc.identifier.issn 29939 vi
dc.identifier.uri http://tainguyenso.vnu.edu.vn/jspui/handle/123456789/11889
dc.description.abstract The paper characterizes the length of maximal sequences satisfying conditions (i) and (ii) of (FC)-sequences, and proves some properties of (FC)-sequences, such as a bound on their lengths. As a consequence we get some results for mixed multiplicities and multiplicities of Rees rings of equimultiple ideals. We also prove that if I is an ideal of positive height and x1, x2,... ,xp is an arbitrary maximal sequence in I satisfying conditions (i) and (ii) of (FC)-sequences, then (x1, x2,... ,xp) is a reduction of I. vi
dc.publisher Proceedings of the American Mathematical Society vi
dc.subject (FC)-sequence vi
dc.subject Equimultiple ideal vi
dc.subject Mixed multiplicity vi
dc.subject Multiplicity of Rees ring vi
dc.subject Reduction vi
dc.title On some properties of (FC)-sequences of ideals in local rings vi
dc.type Article vi

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