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ON THE TOP LOCAL COHOMOLOGY AND FORMAL LOCAL COHOMOLOGY MODULES

  • Shahram, Rezaei;Behrouz, Sadeghi
    • 대한수학회보
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    • 제60권1호
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    • pp.149-160
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    • 2023
  • Let 𝖆 and 𝖇 be ideals of a commutative Noetherian ring R and M a finitely generated R-module of finite dimension d > 0. In this paper, we obtain some results about the annihilators and attached primes of top local cohomology and top formal local cohomology modules. In particular, we determine Ann(𝖇 Hd𝖆(M)), Att(𝖇 Hd𝖆(M)), Ann(𝖇𝔉d𝖆(M)) and Att(𝖇𝔉d𝖆(M)).

Characterizations of Lie Triple Higher Derivations of Triangular Algebras by Local Actions

  • Ashraf, Mohammad;Akhtar, Mohd Shuaib;Jabeen, Aisha
    • Kyungpook Mathematical Journal
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    • 제60권4호
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    • pp.683-710
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    • 2020
  • Let ℕ be the set of nonnegative integers and 𝕬 be a 2-torsion free triangular algebra over a commutative ring ℛ. In the present paper, under some lenient assumptions on 𝕬, it is proved that if Δ = {𝛿n}n∈ℕ is a sequence of ℛ-linear mappings 𝛿n : 𝕬 → 𝕬 satisfying ${\delta}_n([[x,\;y],\;z])\;=\;\displaystyle\sum_{i+j+k=n}\;[[{\delta}_i(x),\;{\delta}_j(y)],\;{\delta}_k(z)]$ for all x, y, z ∈ 𝕬 with xy = 0 (resp. xy = p, where p is a nontrivial idempotent of 𝕬), then for each n ∈ ℕ, 𝛿n = dn + 𝜏n; where dn : 𝕬 → 𝕬 is ℛ-linear mapping satisfying $d_n(xy)\;=\;\displaystyle\sum_{i+j=n}\;d_i(x)d_j(y)$ for all x, y ∈ 𝕬, i.e. 𝒟 = {dn}n∈ℕ is a higher derivation on 𝕬 and 𝜏n : 𝕬 → Z(𝕬) (where Z(𝕬) is the center of 𝕬) is an ℛ-linear map vanishing at every second commutator [[x, y], z] with xy = 0 (resp. xy = p).

ON THE CONSTRUCTION OF OPTIMAL LINEAR CODES OF DIMENSION FOUR

  • Atsuya Kato;Tatsuya Maruta;Keita Nomura
    • 대한수학회보
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    • 제60권5호
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    • pp.1237-1252
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    • 2023
  • A fundamental problem in coding theory is to find nq(k, d), the minimum length n for which an [n, k, d]q code exists. We show that some q-divisible optimal linear codes of dimension 4 over 𝔽q, which are not of Belov type, can be constructed geometrically using hyperbolic quadrics in PG(3, q). We also construct some new linear codes over 𝔽q with q = 7, 8, which determine n7(4, d) for 31 values of d and n8(4, d) for 40 values of d.

Involvement of α1B-adrenoceptors and Rho kinase in contractions of rat aorta and mouse spleen

  • Hadeel A. Alsufyani;James R. Docherty
    • The Korean Journal of Physiology and Pharmacology
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    • 제27권4호
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    • pp.325-331
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    • 2023
  • α1-adrenoceptors link via the G-protein Gq/G11 to both Ca2+ entry and release from stores, but may also activate Rho kinase, which causes calcium sensitization. This study aimed to identify the subtype(s) of α1-adrenoceptor involved in Rho kinase-mediated responses in both rat aorta and mouse spleen, tissues in which contractions involve multiple subtypes of α1-adrenoceptor. Tissues were contracted with cumulative concentrations of noradrenaline (NA) in 0.5 log unit increments, before and in the presence of an antagonist or vehicle. Contractions produced by NA in rat aorta are entirely α1-adrenoceptor mediated as they are competitively blocked by prazosin. The α1A-adrenoceptor antagonist RS100329 had low potency in rat aorta. The α1D-adrenoceptor antagonist BMY7378 antagonized contractions in rat aorta in a biphasic manner: low concentrations blocking α1D-adrenoceptors and high concentrations blocking α1B-adrenoceptors. The Rho kinase inhibitor fasudil (10 µM) significantly reduced aortic contractions in terms of maximum response, suggesting inhibition of α1B-adrenoceptor mediated responses. In the mouse spleen, a tissue in which all 3 subtypes of α1-adrenoceptor are involved in contractions to NA, fasudil (3 µM) significantly reduced both early and late components to the NA contraction, the early component involving α1B- and α1D-adrenoceptors, and the late component involving α1B- and α1A-adrenoceptors. This suggests that fasudil inhibits α1B-adrenoceptor mediated responses. It is concluded that α1D- and α1B-adrenoceptors interact in rat aorta and α1D-, α1A- and α1B-adrenoceptors interact in the mouse spleen to produce contractions and these interactions suggest that one of the receptors preferentially activates Rho kinase, most likely the α1B-adrenoceptor.

NOTE ON THE PINNED DISTANCE PROBLEM OVER FINITE FIELDS

  • Koh, Doowon
    • 충청수학회지
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    • 제35권3호
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    • pp.227-234
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    • 2022
  • Let 𝔽q be a finite field with odd q elements. In this article, we prove that if E ⊆ 𝔽dq, d ≥ 2, and |E| ≥ q, then there exists a set Y ⊆ 𝔽dq with |Y| ~ qd such that for all y ∈ Y, the number of distances between the point y and the set E is ~ q. As a corollary, we obtain that for each set E ⊆ 𝔽dq with |E| ≥ q, there exists a set Y ⊆ 𝔽dq with |Y| ~ qd so that any set E ∪ {y} with y ∈ Y determines a positive proportion of all possible distances. The averaging argument and the pigeonhole principle play a crucial role in proving our results.

황화납 양자점 감지막을 통해 감도가 개선된 수소센서 (Sensitivity enhancement of H2 gas sensor using PbS quantum dots)

  • 김세완;김나리;권진범;김재건;정동건;공성호;정대웅
    • 센서학회지
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    • 제29권6호
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    • pp.388-393
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    • 2020
  • In this study, a PbS quantum dots (QDs)-based H2 gas sensor with a Pd electrode was proposed. QDs have a size of several nanometers, and they can exhibit a high surface area when forming a thin film. In particular, the NH2 present in the ligand of PbS QDs and H2 gas are combined to form NH3+, subsequently the electrical characteristics of the QDs change. In addition to the resistance change owing to the reaction between Pd and H2 gas, the resistance change owing to the reaction between the NH2 of PbS QDs and H2 gas increases the current signal at the sensor output, which can produce a high output signal for the same concentration of H2 gas. Using the XRD and absorbance properties, the synthesis and particle size of the synthesized PbS QDs were analyzed. Using PbS QDs, the sensitivity was significantly improved by 44%. In addition, the proposed H2 gas sensor has high selectivity because it has low reactivity with heterogeneous gases such as C2H2, CO2, and CH4.

소모계에서 축척지수의 성질에 관한 고찰 (On the Properties of Scaling Exponents for the Dissipative System)

  • 김경식;신상열;김시용;시천방언
    • 수산해양기술연구
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    • 제29권2호
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    • pp.162-167
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    • 1993
  • Wilbrink 본뜨기에서 모우드 라킹 현상과 소모적 궤적의 두 경우에 대한 일반화차원 D 하(n)을 수치 해석적으로 계산하였다. 투닝변수 z=0.03, 소모변수 b=0.9, k 하(d)=0.272313668의 값으로 주어진 소모적 Wilbrink 본뜨기에서 모우드 라킹현상의 경우에는 n~20일 때 D 하(-20) =0.924202의 값을 갖으며, 소모적궤적에서는 D 하(-20) =0.63292와 D 하(+20) =1.89877의 값으로 주어진다. 이때의 값들은 n$\longrightarrow$$\infty$감에 따라 Circle 본뜨기의 D 하($\pm$$\infty$) 값들과 근사적으로 일치한다.

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다형 심실빈맥의 예측을 위한 dVm/dtMax_repol의 이온채널 전도도에 대한 민감도 분석 (Sensitivity Analysis of dVm/dtMax_repol to Ion Channel Conductance for Prediction of Torsades de Pointes Risk)

  • 정다운;유예담;;임기무
    • 대한의용생체공학회:의공학회지
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    • 제43권5호
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    • pp.331-340
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    • 2022
  • Early afterdepolarization (EAD), a significant cause of fatal ventricular arrhythmias including Torsade de Pointes (TdP) in long QT syndromes, is a depolarizing afterpotential at the plateau or repolarization phase in action potential (AP) profile early before completing one pace. AP duration prolongation is related to EAD but is not necessarily accounted for EAD. Several computational studies suggested EAD can form from an abnormality in the late plateau and/or repolarization phase of AP shape. In this sense, we hypothesized the slope during repolarization has the characteristics to predict TdP risk, mainly focusing on the maximum slope during repolarization (dVm/dtmax_repol). This study aimed to predict the sensitivity of dVm/dtmax_repol to ion channel conductances as a TdP risk metric through a population simulation considering multiple effects of simultaneous reduction in six ion channel conductances of gNaL, gKr, gKs, gto, gK1, and gCaL. Additionally, we verified the availability of dVm/dtmax_repol for TdP risk prediction through the correlation analysis with qNet, the representative TdP metric. We performed the population simulations based on the methodology of Gemmel et al. using the human ventricular myocyte model of Dutta et al. Among the sixion channel conductances, dVm/dtmax_repol and qNet responded most sensitively to the change in gKr, followed by gNaL. Furthermore, dVm/dtmax_repol showed a statistically significant high negative correlation with qNet. The dVm/dtmax_repol values were significantly different according to three TdP risk levels of high, intermediate, and low by qNet (p<0.001). In conclusion, we suggested dVm/dtmax_repol as a new biomarker metric for TdP risk assessment.

Co 및 Ti가 치환된 Layered perovskite의 SOFC 전극에 대한 적용성 연구 (Application of Layered Perovskites Substituted with Co and Ti as Electrodes in SOFCs)

  • 김찬규;신태호;남중현;김정현
    • 신재생에너지
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    • 제18권2호
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    • pp.40-49
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    • 2022
  • In this study, the phase and electrochemical properties of Co and Ti substituted layered perovskites SmBaCo2-xTixO5+d (x=0.5, 0.7, 1.0, 1.1, 1.3, and 1.5) were analyzed, and their application as electrodes in solid oxide fuel cells (SOFCs) were evaluated. After calcination at 1300℃ for 6 h, a single phase was observed for two compositions of the SmBaCo2-xTixO5+d oxide system, SmBaCoTiO5+d (x=1.0) and SmBaCo0.9Ti1.1O5+d (x=1.1). However, the phases of SmBaCoTiO5+d (SBCTO) and SmTiO3 coexisted for compositions with x≥1.3 (Ti content). In contrast, for compositions of x≤0.7, the SmBaCo2O5+d phase was observed instead of the SmTiO3 phase. To evaluate the applicability of these materials as SOFC electrodes, the electrical conductivities were measured under various atmospheres (air, N2, and H2). SBCTO exhibited stable semi-conductor electrical conductivity behavior in an air and N2 atmosphere. However, SBCTO showed insulator behavior at temperatures above 600℃ in a H2 atmosphere. Therefore, SBCTO may only be used as cathode materials. Moreover, SBCTO had an area specific resistance (ASR) value of 0.140 Ω·cm2 at 750℃.