• Title/Summary/Keyword: near-ring

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A SPECIAL REDUCEDNESS IN NEAR-RINGS

  • Cho, Yong-Uk
    • East Asian mathematical journal
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    • v.22 no.1
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    • pp.61-69
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    • 2006
  • A near-ring N is reduced if, for $a{\in}N,\;a^2=0$ implies a=0, and N is left strongly regular if for all $a{\in}N$ there exists $x{\in}N$ such that $a=xa^2$. Mason introduced this notion and characterized left strongly regular zero-symmetric unital near-rings. Several authors ([2], [5], [7]) studied these properties in near-rings. Reddy and Murty extended some results in Mason to the non-zero symmetric case. In this paper, we will define a concept of strong reducedness and investigate a relation between strongly reduced near-rings and left strongly regular near-rings.

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[ ${\Omega}-FUZZY$ ] IDEALS IN NEAR-RINGS

  • Cho, Yong-Uk;Jun, Young-Bae
    • Journal of applied mathematics & informatics
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    • v.25 no.1_2
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    • pp.483-488
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    • 2007
  • Given a set ${\Omega}$, the notion of ${\Omega}-fuzzy$ ideals in a near-ring is introduced, and related properties are investigated. Using fuzzy ideals, ${\Omega}-fuzzy$ ideals are described. Conversely, fuzzy ideals are constructed by using ${\Omega}-fuzzy$ ideals.

ON AGE RINGS AND AM MODULES WITH RELATED CONCEPTS

  • Cho, Yong-Uk
    • East Asian mathematical journal
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    • v.18 no.2
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    • pp.245-259
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    • 2002
  • In this paper, all rings or (left)near-rings R are associative, and for near-ring R, all R-groups are right R action and all modules are right R-modules. First, we begin with the study of rings in which all the additive endomorphisms or only the left multiplication endomorphisms are generated by ring endomorphisms and their properties. This study was motivated by the work on the Sullivan's Problem [14]. Next, for any right R-module M, we will introduce AM modules and investigate their basic properties. Finally, for any nearring R, we will also introduce MR-groups and study some of their properties.

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ON STRONG FORM OF REDUCEDNESS

  • Cho, Yong-Uk
    • Honam Mathematical Journal
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    • v.30 no.1
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    • pp.1-7
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    • 2008
  • A near-ring N is said to be strongly reduced if, for a ${\in}$ N, $a^2{\in}N_c$ implies $a{\in}N_c$, where $N_c$ denotes the constant part of N. We investigate some properties of strongly reduced near-rings and apply those to the study of left strongly regular near-rings. Finally we classify all reduced and strongly reduced near-rings of order ${\leq}$ 7 using the description given in J. R. Clay [1].

A STUDY ON STRONGLY REDUCED AND REGULAR NEAR-RINGS

  • Cho, Yong-Uk
    • Proceedings of the Korean Institute of Intelligent Systems Conference
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    • 2008.04a
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    • pp.125-126
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    • 2008
  • A near-ring N is called strongly reduced if, for a ${\epsilon}$ N, $a^2\;{\epsilon}\;N_c$ implies a ${\epsilon}\;N_c$, where $N_c$ denotes the constant part of N. We investigate some properties of strongly reduced near-rings and apply those to the study of left strongly regular near-rings. Finally we classify some reduced, and strongly reduced near-rings.

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Design and Analysis of Electromagnetic System (자기 시스템의 해석과 설계)

  • Park, S.W.;Oh, J.H.;Yoon, S.S.
    • Proceedings of the KIEE Conference
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    • 2005.10b
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    • pp.520-522
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    • 2005
  • This paper presents the design and analysis of the electromagnetic system such as jumping ring system. Also, we study the characteristics of dynamics for system with initial parameter. For the propose of system control,, first, we simulate the MATLAB tool solving coupled differential equations with electric parameter, inductance and mutual inductances. Therefore, we design a jumping ring system using design results, implement, and analyze the jumping ring system real situation. For the near time, we present a control process, and compare of real system and software technique.

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Profile Ring Rolling Manufacturing Technology of Alloy 718 (초내열합금 링제품의 형상링 압연 제조 기술)

  • Kim, T.O.;Kim, K.J.;Kim, N.Y.;Lee, J.M.;Yeom, J.T.
    • Proceedings of the Korean Society for Technology of Plasticity Conference
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    • 2009.10a
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    • pp.425-428
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    • 2009
  • Aerospace engine application needs to stand high temperature and pressure. Because of its mechanical properties such as high strength at high temperature, Alloy 718 is used aerospace engine application about 80%. But alloy 718's mechanical properties cause some problem to manufacturing profile ring like damage of material and mold. In this study, alloy 718's mechanical properties investigated for knowing its formability and using FE-Simulation for designing profile ring roll process and mold shape. Profile ring rolling processing is designed with "Initial material$\rightarrow$Blank$\rightarrow$Linear Ring$\rightarrow$Profilering". Blank's heating temperature is setting $1100^{\circ}C$ for manufacturing a trial profile ring on the basis of FE-Simulation. As a result of manufacturing alloy 718 profile ring, it is possible to make near target profile shape ring with all of the processing condition which gives in this study.

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A GENERALIZATION OF ARMENDARIZ AND NI PROPERTIES

  • Li, Dan;Piao, Zhelin;Yun, Sang Jo
    • Communications of the Korean Mathematical Society
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    • v.33 no.3
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    • pp.741-750
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    • 2018
  • Antoine showed that the properties of Armendariz and NI are independent of each other. The study of Armendariz and NI rings has been doing important roles in the research of zero-divisors in noncommutative ring theory. In this article we concern a new class of rings which generalizes both Armendariz and NI rings. The structure of such sort of ring is investigated in relation with near concepts and ordinary ring extensions. Necessary examples are examined in the procedure.

Tree-Ring Dating for a Medicine Cabinet in Seoul Museum of History (서울역사박물관 소장 가께수리 약장의 연륜연대 분석)

  • Song, Ji-Ae;Kim, Yo-Jung;Park, Won-Kyu
    • Journal of the Korea Furniture Society
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    • v.23 no.4
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    • pp.479-484
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    • 2012
  • Tree-ring dating can be used to date scientifically prehistoric timbers, historical buildings or woodcrafts. It gives a calendar year to each tree ring and produces the felling dates of logs or wood panels. In this study, we applied tree-ring dating to a medicine cabinet in Seoul Museum of History. We obtained tree-ring data from radial or cross section by taking photographs with a digital camera. The cabinet were dated A.D. 1821 to the last ring. It was about 50 year older than the previous medicine cabinets. Tree-ring patterns indicated that the origin of woods for the cabinet would be near Sorak mountains.

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Tree-Ring Dating of Wood Elements of Jeongjagak and Bigak for Yungneung (융릉 정자각 및 비각 목부재의 연륜연대 분석)

  • Oh, Jung-Ae;Park, Won-Kyu
    • Journal of the Korea Furniture Society
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    • v.21 no.5
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    • pp.424-431
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    • 2010
  • Yungneung is the royal tomb of King Jangjo (the Crown Prince Sado, 1735~1762) and his wife, Hyegyeonggung-the Lady Hong (1735~1815). King Jangjo was the second son of the 21st King Yeongjo of the Joseon Dynasty. The tomb of King Jangjo was originally established at Yangju near Seoul in 1762 and moved to Whaseong near Suwon in 1789. We examined tree-ring (dendrochronological) dates of Jeongjagak, the ceremonial hall and Bigak, the tombstone house of Yungneung. We obtained tree-ring dates of 54 wood elements. The dates of bark rings were A.D. 1785, 1786, and 1787 with completed latewoods. These tree-ring dates were well matched with the historically recorded date of two buildings, A.D. 1789 when two or three year-storage after cutting logs was considered. The results indicated that the present buildings of Yungneung was built when the royal tomb of King Jangjo was moved from Yangju to Suwon. A historical record about the construction of Yungneung, 'Hyeonyungwon-eugye' confirmed the majority of woods was moved from 'Manrichang', an official storage office in Seoul through Han river and Yellow Sea to Suwon.

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