On the Fitting ideals of a multiplication module

• Дата: 2018
• Автори: Hadjirezaei, Somayeh, Karimzadeh, Somayeh
• Формат: Стаття
• Мова: English
• Опубліковано: Lugansk National Taras Shevchenko University 2018
• Теми: fitting ideals; multiplication module; projective of constant rank; faithful module; 13C05; 13C99; 11Y50
• Онлайн доступ: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/64
• Назва журналу: Algebra and Discrete Mathematics

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 project...