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Information Journal Paper

Title

LOCAL COHOMOLOGY WITH RESPECT TO A COHOMOLOGICALLY COMPLETE INTERSECTION PAIR OF IDEALS

Pages

  7-13

Abstract

 Let (R, m, k) be a local GORENSTEIN RING of dimension n. Let Hi I, J (R) be the LOCAL COHOMOLOGY with respect to a pair of ideals I, J and c be the inf{i|Hi I, J (R)  ¹ 0}. A pair of ideals I, J is called cohomologically complete intersection if Hi I, J (R) = 0 for all i ¹c. It is shown that, when Hi I, J (R)=0 for all i¹c, (i) a minimal injective resolution of Hc I, J (R) presents like that of a GORENSTEIN RING; (ii) Hom R (Hc I, J (R), Hc I,J (R)) ~R, where (R, m) is a complete ring. Also we get an estimate of the dimension of Hi I, J (R).

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References

Cite

APA: Copy

POUR ESHMANAN TALEMI, A., & TEHRANIAN, A.. (2014). LOCAL COHOMOLOGY WITH RESPECT TO A COHOMOLOGICALLY COMPLETE INTERSECTION PAIR OF IDEALS. IRANIAN JOURNAL OF MATHEMATICAL SCIENCES AND INFORMATICS (IJMSI), 9(2), 7-13. SID. https://sid.ir/paper/310384/en

Vancouver: Copy

POUR ESHMANAN TALEMI A., TEHRANIAN A.. LOCAL COHOMOLOGY WITH RESPECT TO A COHOMOLOGICALLY COMPLETE INTERSECTION PAIR OF IDEALS. IRANIAN JOURNAL OF MATHEMATICAL SCIENCES AND INFORMATICS (IJMSI)[Internet]. 2014;9(2):7-13. Available from: https://sid.ir/paper/310384/en

IEEE: Copy

A. POUR ESHMANAN TALEMI, and A. TEHRANIAN, “LOCAL COHOMOLOGY WITH RESPECT TO A COHOMOLOGICALLY COMPLETE INTERSECTION PAIR OF IDEALS,” IRANIAN JOURNAL OF MATHEMATICAL SCIENCES AND INFORMATICS (IJMSI), vol. 9, no. 2, pp. 7–13, 2014, [Online]. Available: https://sid.ir/paper/310384/en

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