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SUMMARY:K. Ozeki (Yamaguchi University)
DTSTART:20210305T120000Z
DTEND:20210305T130000Z
DTSTAMP:20260423T021009Z
UID:VCAS/71
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/VCAS/71/">Th
 e reduction number of stretched ideals</a>\nby K. Ozeki (Yamaguchi Univers
 ity) as part of IIT Bombay Virtual Commutative Algebra Seminar\n\n\nAbstra
 ct\nThe homological property of the associated graded ring of an ideal is 
 an\nimportant problem in commutative algebra and algebraic geometry.\nIn t
 his paper we explore the structure of the associated graded ring of\nstret
 ched $\\mathfrak m $-primary ideals in the case where the reduction number
 \nattains almost minimal value in a Cohen-Macaulay local ring $(A\,\\mathf
 rak m )$.\nAs an application\, we present complete descriptions of the ass
 ociated\ngraded ring of stretched $\\mathfrak m $-primary ideals with smal
 l reduction\nnumber.\n
LOCATION:https://researchseminars.org/talk/VCAS/71/
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