Corpus ID: 237940557

The reduction number of stretched ideals

  title={The reduction number of stretched ideals},
  author={Kazuho Ozeki},
  • K. Ozeki
  • Published 27 September 2021
  • Mathematics
The homological property of the associated graded ring of an ideal is an important problem in commutative algebra and algebraic geometry. In this paper we explore the almost Cohen-Macaulayness of the associated graded ring of stretched m-primary ideals in the case where the reduction number attains almost minimal value in a Cohen-Macaulay local ring (A,m). As an application, we present complete descriptions of the associated graded ring of stretched m-primary ideals with small reduction number. 


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