On the Fitting ideals of a multiplication module

• Veröffentlicht in: Algebra and Discrete Mathematics
• Datum: 2018
• Hauptverfasser: Hadjirezaei, S., Karimzadeh, S.
• Format: Artikel
• Sprache: Englisch
• Veröffentlicht: Інститут прикладної математики і механіки НАН України 2018
• Online Zugang: https://nasplib.isofts.kiev.ua/handle/123456789/188345
• Назва журналу: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Zitieren: On the Fitting ideals of a multiplication module / S. Hadjirezaei, S. Karimzadeh // Algebra and Discrete Mathematics. — 2018. — Vol. 25, № 1. — С. 27-34. — Бібліогр.: 15 назв. — англ.

In this paper, we characterize all finitely generated multiplication R-modules whose the first nonzero Fitting ideal of them is contained in only finitely many maximal ideals. Also, we prove that a finitely generated multiplication R-module M is faithful if and only if M is a projective of constant...