ON A CONSTRUCTION OF LOCAL COHOMOLOGY FUNCTORS FOR TRIANGULATED CATEGORIES

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ASAD ELAHI JAVAD; SALARIAN SH.; SAZIDEH R.

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Seminar Paper

Paper Information

Seminar: IRANIAN ALGEBRA SEMINAR
Year:2009 | Issue:20

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Title

ON A CONSTRUCTION OF LOCAL COHOMOLOGY FUNCTORS FOR TRIANGULATED CATEGORIES

Author(s)

ASAD ELAHI JAVAD | SALARIAN SH. | SAZIDEH R.

Keywords

TRIANGULATED CATEGORY

LOCALIZATION SEQUENCE

SUPPORT

LOCAL COHOMOLOG

Abstract

LET T BE A COMPACTLY GENERATED TRIANGULATED CATEGORY WHICH IS CLOSED UNDER ARBITRARY SMALL COPRODUCTS. BASED ON A CONSTRUCTION OF LOCAL COHOMOLOGY FUNCTORS ON TRIANGULATED CATEGORIES, WHICH IS INTRODUCED RECENTLY BY BENSON, IYENGAR AND KRAUSE, A NOTION OF SUPPORT IS ASSIGNED TO ANY OBJECT X OF T. USING THIS NEW NOTION OF SUPPORT, WE WILL STUDY LOCAL COHOMOLOGY FUNCTORS AND SHOW THAT IN SPECIAL CASES, OUR RESULTS RECOVER AND GENERALIZE THE KNOWN RESULTS ON THE USUAL LOCAL COHOMOLOGY FUNCTORS.

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APA: Copy

ASAD ELAHI, JAVAD, SALARIAN, SH., & SAZIDEH, R.. (2009). ON A CONSTRUCTION OF LOCAL COHOMOLOGY FUNCTORS FOR TRIANGULATED CATEGORIES. IRANIAN ALGEBRA SEMINAR. SID. https://sid.ir/paper/904401/en

Vancouver: Copy

ASAD ELAHI JAVAD, SALARIAN SH., SAZIDEH R.. ON A CONSTRUCTION OF LOCAL COHOMOLOGY FUNCTORS FOR TRIANGULATED CATEGORIES. 2009. Available from: https://sid.ir/paper/904401/en

IEEE: Copy

JAVAD ASAD ELAHI, SH. SALARIAN, and R. SAZIDEH, “ON A CONSTRUCTION OF LOCAL COHOMOLOGY FUNCTORS FOR TRIANGULATED CATEGORIES,” presented at the IRANIAN ALGEBRA SEMINAR. 2009, [Online]. Available: https://sid.ir/paper/904401/en

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