MODULES OF FINITE LENGTH


Yıldırım T. , Harman S.

MATHEMATICAL REPORTS, cilt.22, sa.2, ss.121-131, 2020 (SCI İndekslerine Giren Dergi) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 22 Konu: 2
  • Basım Tarihi: 2020
  • Dergi Adı: MATHEMATICAL REPORTS
  • Sayfa Sayıları: ss.121-131

Özet

In this paper, we first present necessary and sufficient conditions for various modules to be of finite length. We then use our results to give an alternative proof of the well-known result that if R is a Noetherian local ring with maximal ideal 9)2 and M is a finitely generated R-module of dimension d, then H-m(d)(M) is finitely generated if and only if d = 0.