# Note on regular and coregular sequences

Document Type : Research Paper

Author

Department of Mathematics, Sanandaj Branch, Islamic Azad University, Sanandaj, Iran

10.29252/asta.4.2.39

Abstract

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.

Keywords

#### References

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