Thursday 25 April 2024 |
Events for day: Thursday 24 December 2020 |
11:00 - 12:00 Commutative Algebra Webinars Integral Symbolic and Adic Topologies School MATHEMATICS Let $R$ be a commutative Noetherian ring and $I$ an ideal of $R$. For a natural number $n$, the $n$th symbolic power $I^{(n)}$ (resp. the $n$th integral symbolic power $I^{langle nrangle}$) of $I$, is defined to be the union of $({I^n}:_Rs)$ (resp. the union of $(overline{I^n}:_Rs)$), where $s$ runs in the multiplicatively closed subset $bigcap_{frak pin {rm Min}(I)} (Rsetminusfrak{p})$. Also, the set of quintasymptotic primes of $I$, denoted by $bar{Q^*}(I)$, is defined as $bar{Q^*}(I)= {frak pin {rm Spec} ,Rmid$ there is a minimal prime $z$ in $hat{R_{frak p}}$ ... |