Note on regular and coregular sequences
نویسندگان
1 Department of Mathematics, Sanandaj Branch, Islamic Azad University, Sanandaj, Iran
doi
10.22034/as.2017.1168چکیده
Let $R$ be a commutative Noetherian ring and let $M$ be a finitely generated $R$-module. If $I$ is an ideal of $R$ generated by $M$-regular sequence, then we study the vanishing of the first $\Tor$ functors. Moreover, for Artinian modules and coregular sequences we examine the vanishing of the first $\Ext$ functors.
