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SUMMARY:Shinya Kumashiro (Oyama College)
DTSTART:20220128T120000Z
DTEND:20220128T130000Z
DTSTAMP:20260423T035537Z
UID:VCAS/119
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/VCAS/119/">G
 raded Bourbaki ideals of graded modules and Ideals of reduction number two
 </a>\nby Shinya Kumashiro (Oyama College) as part of IIT Bombay Virtual Co
 mmutative Algebra Seminar\n\n\nAbstract\nIn the first part of this talk\, 
 we explore graded Bourbaki ideals. It is a well-known fact that for torsio
 nfree modules over Noetherian normal domains\, Bourbaki sequences exist. W
 e give criteria in terms of certain attached matrices for a homomorphism o
 f modules to induce a Bourbaki sequences. In the second part of this talk\
 , we give an application of graded Bourbaki sequences to Hilbert functions
  of m-primary ideals. We give the inequality of the first three Hilbert co
 efficients for ideals of reduction number two.\n\nThis talk is based on th
 e joint work with J. Herzog and D. I. Stamate.\n
LOCATION:https://researchseminars.org/talk/VCAS/119/
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