Attached primes and annihilators of top local cohomology modules defined by a pair of ideals

• Date: 2020
• Main Authors: Karimi, S., Payrovi, Sh.
• Format: Article
• Language: English
• Published: Lugansk National Taras Shevchenko University 2020
• Subjects: associated prime ideals; attached prime ideals; top local cohomology modules; 13D45; 14B15
• Online Access: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/429
• Journal Title: Algebra and Discrete Mathematics

Assume that \(R\) is  a complete Noetherian local ring and \(M\) is a non-zero finitely generated \(R\)-module of dimension \(n=\dim(M)\geq 1\). It is shown that any non-empty  subset \(T\) of \(\mathrm{Assh}(M)\) can be expressed as the set of attached primes of the top local cohomology modules \(H...