MODULES OF FINITE LENGTH

Yıldırım T., Harman S.

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

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 22 Sayı: 2
  • Basım Tarihi: 2020
  • Dergi Adı: MATHEMATICAL REPORTS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, zbMATH
  • Sayfa Sayıları: ss.121-131
  • İstanbul Teknik Üniversitesi Adresli: Evet

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.