The order of dominance of a monomial ideal

• Дата: 2023
• Автор: Alesandroni, G.
• Формат: Стаття
• Мова: English
• Опубліковано: Lugansk National Taras Shevchenko University 2023
• Теми: monomial ideal; codimension; projective dimension; Betti number; 13D02
• Онлайн доступ: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1755
• Назва журналу: Algebra and Discrete Mathematics

Let \(S\) be a polynomial ring in \(n\) variables over a field, and consider a monomial ideal \(M=(m_1,\ldots,m_q)\) of \(S\). We introduce a new invariant, called order of dominance of \(S/M\), and denoted \(\operatorname{odom}(S/M)\), which has many similarities with the codimension of \(S/M\). We...