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ON JORDAN IDEALS IN PRIME RINGS WITH GENERALIZED DERIVATIONS

  • Bennis, Driss;Fahid, Brahim;Mamouni, Abdellah
    • Communications of the Korean Mathematical Society
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    • v.32 no.3
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    • pp.495-502
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    • 2017
  • Let R be a 2-torsion free prime ring and J be a nonzero Jordan ideal of R. Let F and G be two generalized derivations with associated derivations f and g, respectively. Our main result in this paper shows that if F(x)x - xG(x) = 0 for all $x{\in}J$, then R is commutative and F = G or G is a left multiplier and F = G + f. This result with its consequences generalize some recent results due to El-Soufi and Aboubakr in which they assumed that the Jordan ideal J is also a subring of R.

Technological Trends in Open 5G Fronthaul (개방형 5G 프론트홀 기술 동향)

  • Lee, J.S.;Park, J.W.;Lee, M.S.
    • Electronics and Telecommunications Trends
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    • v.37 no.3
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    • pp.1-10
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    • 2022
  • Traditional centralized radio access network architecture used for 4G is based on Option 8, a functional split between PHY and RF. This option is commonly used with a fronthaul interface based on common public radio interface (CPRI) specifications; however, the increased data rates in 5G make this option impractical because of the fronthaul interface's high bandwidth requirement. Since CPRI specifications have many vendor-specific options, achieving multi-vendor interoperability becomes challenging. Open RAN (O-RAN) Alliance is developing novel open fronthaul interface specifications based on the functional split Option 7-2x, one of the intra-PHY split options, to relax the bandwidth requirement of the fronthaul interface and achieve multi-vendor interoperability. This article provides a brief overview of the various functional split options for 5G fronthaul that have been reported so far and existing fronthaul technologies. Further, the technological trends in the 5G open fronthaul interface is discussed, focusing on the O-RAN Alliance specifications under standardization.

Comparison of Aviary, Barn and Conventional Cage Raising of Chickens on Laying Performance and Egg Quality

  • Ahammed, M.;Chae, B.J.;Lohakare, J.;Keohavong, B.;Lee, M.H.;Lee, S.J.;Kim, D.M.;Lee, J.Y.;Ohh, S.J.
    • Asian-Australasian Journal of Animal Sciences
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    • v.27 no.8
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    • pp.1196-1203
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    • 2014
  • This study intended to compare the productive performance of three different layer raising systems; conventional cage (CC), barn (BR) and aviary (AV). The AV is welfare bestowed housing that allows free locomotion for birds within the BR. The BR allows bird's free locomotion inside BR but without multilevel structures. Both pullets and cockerels were housed together in both AV and BR, but only pullets in CC. Seventeen weeks old Lohmann Brown Lite (n = 800) pullets were housed in AV during this study. The same age layer pullets were simultaneously assigned to either at CC or BR to compare egg production performance with AV. The duration of experiment was 40 weeks (from 21st to 60th week). There were no remarkable differences in egg production, hen day egg production (HDEP) and average egg weight among three rearing systems. First 20 weeks (phase-1) average HDEP (%) of AV, CC, and BR were 85.9, 88.8, 87.1 and average egg weights (g) were 57.5, 59.9, and 56.9 respectively. Those of the remaining 20 weeks (phase-2) were 87.1, 87.9, 85.5 and 64.2, 63.0 62.1, respectively. Daily feed intakes (122 g, 110 g, 125 g); feed conversion ratio (2.4, 2.1, 2.5) and daily egg mass (53.9 g, 54.4 g, 52.8 g) data from AV, CC, and BR were not influenced significantly by the respective raising systems. Daily feed intake of layers in both AV (124 g) and BR (127 g) tended to be higher than that in CC (113 g) during phase-2. Overall, exterior egg quality (dirty and cracked eggs) in both phases was superior in BR compared with AV and CC, whereas CC generated intermediate results. This study indicated that the HDEP per se in AV and BR were not significantly different from that in CC. The study implied that the facility depreciation cost for AV and cost for increased feed intake in AV compared to CC are believed to be critical to evaluate the cost effectiveness of egg production in AV.

ON THE FIRST GENERALIZED HILBERT COEFFICIENT AND DEPTH OF ASSOCIATED GRADED RINGS

  • Mafi, Amir;Naderi, Dler
    • Bulletin of the Korean Mathematical Society
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    • v.57 no.2
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    • pp.407-417
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    • 2020
  • Let (R, m) be a d-dimensional Cohen-Macaulay local ring with infinite residue field. Let I be an ideal of R that has analytic spread ℓ(I) = d, satisfies the Gd condition, the weak Artin-Nagata property AN-d-2 and m is not an associated prime of R/I. In this paper, we show that if j1(I) = λ(I/J) + λ[R/(Jd-1 :RI+(Jd-2 :RI+I):R m)] + 1, then I has almost minimal j-multiplicity, G(I) is Cohen-Macaulay and rJ(I) is at most 2, where J = (x1, , xd) is a general minimal reduction of I and Ji = (x1, , xi). In addition, the last theorem is in the spirit of a result of Sally who has studied the depth of associated graded rings and minimal reductions for m-primary ideals.

The Changes of $Vit.D_2$ and $Vit.B_2$ Contents according to Ultraviolet rays and Cooking Methods of Mushrooms (버섯의 자외선조사와 조리조건에 따른 $Vit.D_2$$Vit.B_2$ 함량의 변화)

  • Oh, Hae-Sook;Yoon, Sun;Park, Hee-Ok
    • Journal of the Korean Society of Food Culture
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    • v.16 no.5
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    • pp.463-469
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    • 2001
  • This study was to investigate the effect of ultraviolet rays, soaking, boiling and baking to ergocalciferol ($Vit.D_2$) and riboflavin($Vit.B_2$) contents of mushrooms, Lentinus edodes, Pleurotus ostreatus and Agaricus bisporus. The results were as follow: 1. Mushrooms were exposed to ultraviolet rays Lentinus edodes : $10J/cm^2$, Pleurotus ostratus : $2J/cm^2$ and Agaricus bisporus : $2J/cm^2$. 2. Before exposing to ultraviolet rays, the ergocalciferol contents of mushrooms were all $0{\mu}g/g$ dry base, but after exposing to it , those of Lentinus edodes, Pleurotus ostreatus and Agaricus bisporus were $222.50{\pm}5.30{\mu}g/g$ dry base, $150.90{\pm}6.60{\mu}g/g$ dry base and $23.98{\pm}1.20{\mu}g/g$ dry base, respectively 3. Before and after exposing to ultraviolet rays, the riboflavin contents of Lentinus edoes, Pleurotus ostreatus and Agaricus bisporus were $18.22{\pm}0.71{\mu}g/g$ dry base and $11.72{\pm}0.50{\mu}g/g$ dry base, $4.57{\pm}0.20{\mu}g/g$ dery base and $3.26{\pm}0.15{\mu}g/g$ dry base, and $37.42{\pm}1.20{\mu}g/g$ dry base and $27.33{\pm}2.10{\mu}g/g$ dry base, respectively. 4. The ergocalciferol contents of mushrooms according to boiling time were not significantly different but the riboflavin contents of them were decreased according to the increase of boiling time. 5. The ergocalciferol and riboflavin contents of mushrooms were decreased according to the increase of NaCl concentration and baking temperature. 6. The ergocalciferol content of Lentinus edodes after a short time soaking at $80^{\circ}C$ was higher than a long time soaking at $20^{\circ}C,\;40^{\circ}C$ and $60^{\circ}C$.

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Sintering phenomena and grain growth of ultra-fine spinel($MgAl_2O_4$);(II) (순수 스피넬($MgAl_2O_4$)의 입성장 및 소결현상)

  • 이형복;한영환
    • Journal of the Korean Crystal Growth and Crystal Technology
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    • v.8 no.3
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    • pp.498-502
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    • 1998
  • Sintering phenomena at refractory temperature ranges, from $1400^{\circ}C$ to $1700^{\circ}C$, of the pure spinel $(MgAl_2O_4)$ are analysed and compared to the experimental data from other researchers in terms of grain size(G), density($\rho$), and activation energy(Q). The grain size and relative density relationships for the spinels present very similar trends. They exhibit two distinct regions, an intermediate sintering stage to about the 85~90% density level and what appears to be the final stage sintering region above that transition-density level. The activation energy in terms of the grain size (G) and density ($\rho$) is determined to be 670$\pm$48 (kJ/mol) in this spinel and about 590 kJ/mol for the overall temperature range in other's spinel. These values are close to other published data, 360 to 580 kJ/mol.

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Hard TiN Coating by Magnetron-ICP P $I^3$D

  • Nikiforov, S.A.;Kim, G.H.;Rim, G.H.;Urm, K.W.;Lee, S.H.
    • Journal of the Korean institute of surface engineering
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    • v.34 no.5
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    • pp.414-420
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    • 2001
  • A 30-kV plasma immersion ion implantation setup (P $I^3$) has been equipped with a self-developed 6'-magnetron to perform hard coatings with enhanced adhesion by P $I^3$D(P $I^3$ assisted deposition) process. Using ICP source with immersed Ti antenna and reactive magnetron sputtering of Ti target in $N_2$/Ar ambient gas mixture, the TiN films were prepared on Si substrates at different pulse bias and ion-to-atom arrival ratio ( $J_{i}$ $J_{Me}$ ). Prior to TiN film formation the nitrogen implantation was performed followed by deposition of Ti buffer layer under A $r^{+}$ irradiation. Films grown at $J_{i}$ $J_{Me}$ =0.003 and $V_{pulse}$=-20kV showed columnar grain morphology and (200) preferred orientation while those prepared at $J_{i}$ $J_{Me}$ =0.08 and $V_{pulse}$=-5 kV had dense and eqiaxed structure with (111) and (220) main peaks. X-ray diffraction patterns revealed some amount of $Ti_{x}$ $N_{y}$ in the films. The maximum microhardness of $H_{v}$ =35 GN/ $M^2$ was at the pulse bias of -5 kV. The P $I^3$D technique was applied to enhance wear properties of commercial tools of HSS (SKH51) and WC-Co alloy (P30). The specimens were 25-kV PII nitrogen implanted to the dose 4.10$^{17}$ c $m^{-2}$ and then coated with 4-$\mu\textrm{m}$ TiN film on $Ti_{x}$ $N_{y}$ buffer layer. Wear resistance was compared by measuring weight loss under sliding test (6-mm $Al_2$ $O_3$ counter ball, 500-gf applied load). After 30000 cycles at 500 rpm the untreated P30 specimen lost 3.10$^{-4}$ g, and HSS specimens lost 9.10$^{-4}$ g after 40000 cycles while quite zero losses were demonstrated by TiN coated specimens.s.

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Inter- and Intra-granular Critical Current in $Bi_{1.4}Pb_{0.6}Sr_2Ca_2Cu_{3.6}O_x$ Superconducting Oxide

  • Choy, Jin-Ho;Kim, Seung-Joo;Park, J.C.;Frohlich, K.;Dordor, P.;Grenier, J.C.
    • Bulletin of the Korean Chemical Society
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    • v.11 no.6
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    • pp.560-563
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    • 1990
  • A.c. susceptibility for $Bi_{1.4}Pb_{0.6}Sr_2Ca_2Cu_{3.6}O_x$ superconductor is measured as a function of temperature at different value of a.c. magnetic field amplitude. Two transition steps are attributed to the intergranular and intragranular properties. Based on Bean's critical state model, intergranular critical current density, $J_c^{gb}$ (11 $A/cm^2$ at 77 K) and intragranular critical current density, $J_c^g (7{\times}10^3\;A/cm^2$ at 100 K) are estimated. The low values of $J_c^{gb}$and $J_c^g$ reflect a poor nature of coupling between grains and the low pinning force density of intragrain in $Bi_{1.4}Pb_{0.6}Sr_2Ca_2Cu_{3.6}O_x$ superconductor.