202 research outputs found

    What is Stanley depth?

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    Finiteness of Gorenstein injective dimension of modules

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    Investigation of Natural Effective Gamma Dose Rates case study: Ardabil Province in Iran

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    Gamma rays pose enough energy to form charged particles and adversely affect human health. Since, the external exposure of human beings to natural environmental gamma radiation normally exceeds that from all man-made sources combined, natural background gamma dose rates and corresponding annual effective doses were determined for selected cities of Ardabil province from 2009 to 2010. Outdoor gamma dose rates were measured using an Ion Chamber Survey Meter in 105 locations in selected districts. Average absorbed dose for Ardabil, Sar-Ein, Germy, Neer, Shourabil Recreational Lake, and Kosar were determined as 265, 219, 344, 233, 352, and 358 nSvh-1, respectively. Although dose rates recorded for Germi and Kosar are comparable with some areas with high natural radiation background, however, the dose rates in other districts are well below the levels reported for such locations. Average annual effective dose due to indoor and outdoor gamma radiation for Ardabil province was estimated to be 1.73 (1.35-2.39) mSv, which is on average 2 times higher than the world population weighted average

    Tensor product of dualizing complexes over a field

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    Let kk be a field, and let X,YX,Y be two locally noetherian kk-schemes (respectively kk-formal schemes) with dualizing complexes RXR_X and RYR_Y respectively. We show that RX⊠kRYR_X \boxtimes_{k} R_Y (respectively its derived completion) is a dualizing complex over X×kYX\times_{k} Y if and only if X×kYX\times_{k} Y is locally noetherian of finite Krull dimension.Comment: 13 pages, final version, to appear in the Journal of Commutative Algebr
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