• Title/Summary/Keyword: near ring

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A KIND OF NORMALITY RELATED TO REGULAR ELEMENTS

  • Huang, Juan;Piao, Zhelin
    • Honam Mathematical Journal
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    • v.42 no.1
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    • pp.93-103
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    • 2020
  • This article concerns a property of Abelain π-regular rings. A ring R shall be called right quasi-DR if for every a ∈ R there exists n ≥ 1 such that C(R)an ⊆ aR, where C(R) means the monoid of regular elements in R. The relations between the right quasi-DR property and near ring theoretic properties are investigated. We next show that the class of right quasi-DR rings is quite large.

A Stress Analysis of Wall-Thinned Feedwater Ring in Nuclear Power Plant (원전 증기발생기 감육 급수링 응력해석)

  • Min Ki Cho;Ki Hyun Cho
    • Transactions of the Korean Society of Pressure Vessels and Piping
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    • v.17 no.1
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    • pp.56-63
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    • 2021
  • The feedwater ring is an assembly in steam generator internal piping, which distributes feedwater into the secondary side of the steam generator. It consists of an assembly of carbon steel piping, pipe fittings and J-nozzles which are inserted into the top of the feedwater ring and welded to the diameter of the ring. The feedwater ring at the attachment region of the J-nozzle may be susceptible to flow accelerated corrosion (FAC) due to flow turbulence which increases local fluid velocities. If a J-nozzle becomes a loose part, it can cause damage to tubing near the tube sheet. In this paper, the structural stress analysis for a wall thinned feedwater ring and integrity evaluations under assumed loading conditions are carried out in compliance with ASME B&PV SecIII, NB-3200.

FUZZY IDEALS IN NEAR-RINGS

  • Hong, Sung-Min;Jun, Young-Bae;Kim, Hee-Sik
    • Bulletin of the Korean Mathematical Society
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    • v.35 no.3
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    • pp.455-464
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    • 1998
  • In this paper, we give another proof of Theorem 2.13 of [4] without using the sup property. For the homomorphic image $f(\mu)$ and preimage $f^{-1}(\nu)$ of fuzzy left (resp. right) ideals $\mu$ and $\nu$ respectively, we establish the chains of level left (resp. right) ideals of $f(\mu)$ and $f^{-1}(\nu)$, respectively. Moreover, we prove that a necessary condition for a fuzzy ideal $\mu$ of a near-ring $R$ to be prime is that $\mu$ is two-valued.

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A GENERALIZED IDEAL BASED-ZERO DIVISOR GRAPHS OF NEAR-RINGS

  • Dheena, Patchirajulu;Elavarasan, Balasubramanian
    • Communications of the Korean Mathematical Society
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    • v.24 no.2
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    • pp.161-169
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    • 2009
  • In this paper, we introduce the generalized ideal-based zero-divisor graph structure of near-ring N, denoted by $\widehat{{\Gamma}_I(N)}$. It is shown that if I is a completely reflexive ideal of N, then every two vertices in $\widehat{{\Gamma}_I(N)}$ are connected by a path of length at most 3, and if $\widehat{{\Gamma}_I(N)}$ contains a cycle, then the core K of $\widehat{{\Gamma}_I(N)}$ is a union of triangles and rectangles. We have shown that if $\widehat{{\Gamma}_I(N)}$ is a bipartite graph for a completely semiprime ideal I of N, then N has two prime ideals whose intersection is I.

COMMUTATIVITY OF PRIME GAMMA NEAR RINGS WITH GENERALIZED DERIVATIONS

  • MARKOS, ADNEW;MIYAN, PHOOL;ALEMAYEHU, GETINET
    • Journal of applied mathematics & informatics
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    • v.40 no.5_6
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    • pp.915-923
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    • 2022
  • The purpose of the present paper is to obtain commutativity of prime Γ-near-ring N with generalized derivations F and G with associated derivations d and h respectively satisfying one of the following conditions:(i) G([x, y]α = ±f(y)α(xoy)βγg(y), (ii) F(x)βG(y) = G(y)βF(x), for all x, y ∈ N, β ∈ Γ (iii) F(u)βG(v) = G(v)βF(u), for all u ∈ U, v ∈ V, β ∈ Γ,(iv) if 0 ≠ F(a) ∈ Z(N) for some a ∈ V such that F(x)αG(y) = G(y)αF(x) for all x ∈ V and y ∈ U, α ∈ Γ.

Estimation of the Effects of Air Pollutants on Tree Ring Growth in Black Pines (Pinus thunbergii)

  • Song, Young-Joo;Kim, Yoon-Dong;Choi, Kee-Ryong
    • Journal of Ecology and Environment
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    • v.32 no.2
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    • pp.109-113
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    • 2009
  • Tree-ring width analysis has been used to assess the effects of air pollution on tree growth around industrial complexes. Our study was conducted to elucidate the effect of air pollutants on annual ring growth in black pines (Pinus thunbergii) of age 41$\sim$48 years around Ulsan Metropolitan City. The growth data were analyzed by multiple regression and the results are as follows: 1. The annual ring increment of black pines increased with tree age until age 40 years and then decreased gradually after age 40 years. 2. The increment of annual ring width of black pines was affected more by precipitation and evapotranspiration than air temperature. An annual ring decline appeared in the years 1968$\sim$1983, when annual ring indices below zero were observed. Decreased annual ring growth during this period may have been due to air pollution. 3. The heavy metal with the strongest effect on annual ring growth of black pines in the experimental stand was lead (Pb). The concentration of lead in the stand was estimated as over 6 ppm. 4. The technique of tree-ring width analysis may be useful for estimation of the extent of pollution in forest areas near industrial complexes.

Heuristic Algorithm for the Ring-type Network Design Problem (Ring형 Network 설계문제의 휴리스틱 알고리즘)

  • 김길동;이경식
    • Journal of Korean Society of Industrial and Systems Engineering
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    • v.15 no.25
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    • pp.83-90
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    • 1992
  • This paper aims at the problem that design the network of Rig-star type with the minimum cost, which the Ring is composed of the selected nodes(concentrators) among the several candidate nodes on the network and other nodes(terminals) is connected to the Ring by star subnetwork. Especially, we consider the terminal reliability in network design problem. We develop the heuristic algorithm for network design problem to obtain the near optimal(best) solution for problem. We use an add-heuristic method and 2-exchange method in developing the heuristic algorithm.

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Prediction of Defect Formation in Ring Rolling by the Three-Dimensional Rigid-Plastic Finite Element Method (3차원 강소성 유한요소법을 이용한 환상압연공정중 형상결함의 예측)

  • Moon Ho Keun;Chung Jae Hun;Park Chang Nam;Joun Man Soo
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.28 no.10
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    • pp.1492-1499
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    • 2004
  • In this paper, defect formation in ring rolling is revealed by computer simulation of ring rolling processes. The rigid-plastic finite element method is employed for this study. An analysis model having relatively fine mesh system near the roll gap is used for reducing the computational time and a scheme of minimizing the volume change is applied. The formation of the central cavity formation defect in ring rolling of a taper roller bearing outer race and the polygonal shape defect in ring rolling of a ball bearing outer race has been simulated. It has been seen that the results are qualitatively good with actual phenomena.

Numerical Investigation of Ring Groove Effect in a Centrifugal Compressor (원심압축기의 링 그루브 효과에 관한 수치해석적 연구)

  • Park, Chi-Yong;Choi, Young-Seok;Lee, Kyoung-Yong;Yoon, Joon-Yong
    • The KSFM Journal of Fluid Machinery
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    • v.14 no.2
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    • pp.11-16
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    • 2011
  • This paper presents a numerical study of casing treatments on a centrifugal compressor stage to improve stability and the surge margin. High efficiency, a high pressure ratio, and a wide operating range are required for a high performance centrifugal compressor. In the present study, a ring groove arrangement was applied to the transonic centrifugal compressor. According to the numerical analysis using a commercial code ANSYS-CFX, the unstable phenomena limiting the range of the centrifugal compressors were compared with and without a ring groove. Although the ring groove decreased the efficiency, but increased the operating range by suppressing a flow separation at the leading-edge of the impeller especially near shroud part. Newly designed ring groove arrangement improved the compressor performance and increased the operating range of the compressor.

WEAKLY B-REGULAR NEAR-RINGS

  • Chelvam Thirugnanam Tamizh;Cho Yong-Uk
    • The Pure and Applied Mathematics
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    • v.13 no.2 s.32
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    • pp.157-165
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    • 2006
  • The notion of regularity in near-ring was generalized by the concept of b-regular and some characterizations of the same was obtained through the substructures viz bi-ideals in near-rings. In this paper, we generalize further and introduce tile notion of weakly b-regular near-rings and obtain a characterization of tile same.

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