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Paper Information

Journal:   IRANIAN JOURNAL OF MATHEMATICAL SCIENCES AND INFORMATICS (IJMSI)   2014 , Volume 9 , Number 2; Page(s) 7 To 13.
 
Paper: 

Local Cohomology With Respect To A Cohomologically Complete Intersection Pair Of Ideals

 
 
Author(s):  Pour Eshmanan Talemi A.*, Tehranian A.
 
* DEPARTMENT OF MATHEMATICS, RASHT BRANCH, ISLAMIC AZAD UNIVERSITY, RASHT, IRAN
 
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).
 
Keyword(s): VANISHING, LOCAL COHOMOLOGY, GORENSTEIN RING
 
 
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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. https://www.sid.ir/en/journal/ViewPaper.aspx?id=402266



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). 2014 [cited 2022January27];9(2):7-13. Available from: https://www.sid.ir/en/journal/ViewPaper.aspx?id=402266



IEEE: 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), [online] 9(2), pp.7-13. Available: https://www.sid.ir/en/journal/ViewPaper.aspx?id=402266.



 
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