COFINITENESS OF LOCAL COHOMOLOGY BASED ON NON–CLOSED SUPPORT DEFINED BY A PAIR OFIDEALS

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TEHRANIAN A.; POUR ESHMANAN TALEMI A.

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Journal: BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY Year:2010 | Volume:36 | Issue:2 Page(s): 145-155

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Title

COFINITENESS OF LOCAL COHOMOLOGY BASED ON NON–CLOSED SUPPORT DEFINED BY A PAIR OFIDEALS

Author(s)

TEHRANIAN A. | POUR ESHMANAN TALEMI A. | Issue Writer Certificate

Keywords

LOCAL COHOMOLOGY

COFINITE MODULE

ASSOCIATED PRIME

Abstract

Let I, J be ideals of a commutative Noetherian ring R and lett be a non–negative integer. Let M be an R–module such that ExtR t(R/I, M) is a finite R–module. If t is the first integer such that the LOCAL COHOMOLOGY module with respect to (I, J) is non– (I, J) –cofinite, then we show that HomR (R/I, Ht I,J(M)) is finite. Also, we study the finiteness of Ext R i(R/I, HtI,J (M)), for i=1, 2. In addition, for a finite R–module M, we show that the ASSOCIATED PRIMEs of HI,J t(M) have an equal grade, when t=inf {i|Hi I, J(M) ¹0}.

Cites

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

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APA: Copy

TEHRANIAN, A., & POUR ESHMANAN TALEMI, A.. (2010). COFINITENESS OF LOCAL COHOMOLOGY BASED ON NON–CLOSED SUPPORT DEFINED BY A PAIR OFIDEALS. BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, 36(2), 145-155. SID. https://sid.ir/paper/571866/en

Vancouver: Copy

TEHRANIAN A., POUR ESHMANAN TALEMI A.. COFINITENESS OF LOCAL COHOMOLOGY BASED ON NON–CLOSED SUPPORT DEFINED BY A PAIR OFIDEALS. BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY[Internet]. 2010;36(2):145-155. Available from: https://sid.ir/paper/571866/en

IEEE: Copy

A. TEHRANIAN, and A. POUR ESHMANAN TALEMI, “COFINITENESS OF LOCAL COHOMOLOGY BASED ON NON–CLOSED SUPPORT DEFINED BY A PAIR OFIDEALS,” BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, vol. 36, no. 2, pp. 145–155, 2010, [Online]. Available: https://sid.ir/paper/571866/en

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