• 제목/요약/키워드: right(left) ideal

검색결과 127건 처리시간 0.028초

On Generalised Quasi-ideals in Ordered Ternary Semigroups

  • Abbasi, Mohammad Yahya;Khan, Sabahat Ali;Basar, Abul
    • Kyungpook Mathematical Journal
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    • 제57권4호
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    • pp.545-558
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    • 2017
  • In this paper, we introduce generalised quasi-ideals in ordered ternary semigroups. Also, we define ordered m-right ideals, ordered (p, q)-lateral ideals and ordered n-left ideals in ordered ternary semigroups and studied the relation between them. Some intersection properties of ordered (m,(p, q), n)-quasi ideals are examined. We also characterize these notions in terms of minimal ordered (m,(p, q), n)-quasi-ideals in ordered ternary semigroups. Moreover, m-right simple, (p, q)-lateral simple, n-left simple, and (m,(p, q), n)-quasi simple ordered ternary semigroups are defined and some properties of them are studied.

Implant-assisted Removable Prosthetic Rehabilitation of a Patient with Crossed Occlusion

  • Oh, Hyun-Su;Lim, Young-Jun;Kim, Myung-Joo;Kwon, Ho-Beom
    • Journal of Korean Dental Science
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    • 제14권1호
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    • pp.32-39
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    • 2021
  • 'Crossed occlusion' is the condition in which occlusal intercuspation is lost when several teeth on upper and lower jaw remain. This report describes a clinical case in which a patient had two upper-left posterior teeth and two lower-right posterior teeth; typically known as left-right crossed occlusion. Considering the patient's general condition and financial situation, the treatment plan included placement of two implants on each jaw against the remaining teeth using surgical guide. To find out the ideal position of implants, digital diagnostic wax-up was preceded by superimposing the cast and cone beam computed tomography image, which was aided with radiographic stents. The consequent surveyed implant bridge provided stable vertical stop for fabrication of the implant assisted removable partial dentures. The patient was satisfied with the functionality and esthetics of definitive prosthesis.

Two More Radicals for Right Near-Rings: The Right Jacobson Radicals of Type-1 and 2

  • Rao, Ravi Srinivasa;Prasad, K. Siva
    • Kyungpook Mathematical Journal
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    • 제46권4호
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    • pp.603-613
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    • 2006
  • Near-rings considered are right near-rings and R is a near-ring. $J_0^r(R)$, the right Jacobson radical of R of type-0, was introduced and studied by the present authors. In this paper $J_1^r(R)$ and $J_2^r(R)$, the right Jacobson radicals of R of type-1 and type-2 are introduced. It is proved that both $J_1^r$ and $J_2^r$ are radicals for near-rings and $J_0^r(R){\subseteq}J_1^r(R){\subseteq}J_2^r(R)$. Unlike the left Jacobson radical classes, the right Jacobson radical class of type-2 contains $M_0(G)$ for many of the finite groups G. Depending on the structure of G, $M_0(G)$ belongs to different right Jacobson radical classes of near-rings. Also unlike left Jacobson-type radicals, the constant part of R is contained in every right 1-modular (2-modular) right ideal of R. For any family of near-rings $R_i$, $i{\in}I$, $J_{\nu}^r({\oplus}_{i{\in}I}R_i)={\oplus}_{i{\in}I}J_{\nu}^r(R_i)$, ${\nu}{\in}\{1,2\}$. Moreover, under certain conditions, for an invariant subnear-ring S of a d.g. near-ring R it is shown that $J_2^r(S)=S{\cap}J_2^r(R)$.

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ON RIGHT REGULARITY OF COMMUTATORS

  • Jung, Da Woon;Lee, Chang Ik;Lee, Yang;Park, Sangwon;Ryu, Sung Ju;Sung, Hyo Jin
    • 대한수학회보
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    • 제59권4호
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    • pp.853-868
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    • 2022
  • We study the structure of right regular commutators, and call a ring R strongly C-regular if ab - ba ∈ (ab - ba)2R for any a, b ∈ R. We first prove that a noncommutative strongly C-regular domain is a division algebra generated by all commutators; and that a ring (possibly without identity) is strongly C-regular if and only if it is Abelian C-regular (from which we infer that strong C-regularity is left-right symmetric). It is proved that for a strongly C-regular ring R, (i) if R/W(R) is commutative, then R is commutative; and (ii) every prime factor ring of R is either a commutative domain or a noncommutative division ring, where W(R) is the Wedderburn radical of R.

신장 방사선 섭취량 결정을 위한 Conjugate View 방법에 대한 평가 (Evaluation of a Conjugate View Method for Determination of Kidney Uptake)

  • 봉정균;윤미진;이종두;김희중;손혜경;권윤영;박해정;김유선
    • 대한핵의학회지
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    • 제39권3호
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    • pp.191-199
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    • 2005
  • 목적: 본 연구의 목적은 신장의 정확한 방사능 섭취량을 얻기 위해서 기하학적 평균 감쇠보정을 이용한 conjugate view 방법(CVM)을 평가하고 Gate 방법과 비교하는 것이다. 대상 및 방법 : 본 연구는 신장의 방사능 섭취량을 시뮬레이션하기 위해서 몬테칼로 코드, SIMIND와 Zubal 팬텀을 사용하였다. 또한 이중 감마카메라를 이용하여 직경 5cm인 팬텀들을 직경 20cm인 실제 팬텀에 삽입하여 실험을 하였다. CVM 방법을 평가하기 위해서 산란과 감쇠가 없는 이상적 데이터와 비교되었다. 또한, CVM 방법을 Gate 방법과 비교하였고, 산란보정의 적용 또는 비적용으로 나누어 CVM 방법을 실행하였다. Gate 방법은 임상에서 사용하는 것처럼 산란보정을 적용하지 않았으며, $0.12cm^{-1}$$0.15cm^{-1}$ 감쇠계수들을 적용하였다. 관심영역 내에 있는 평균계수, 신장영상 위에서 얻어진 프로파일, 선형회귀분석을 이용하여 데이터를 분석하였고, 이상적 데이터와의 상관계수를 계산하였다. 결과: 컴퓨터 시뮬레이션의 경우, 이상적 데이터, CVM 방법, Gate 방법으로부터 얻어진 평균계수들은 각각 (오른쪽: $998{\pm}209$, 왼쪽: $896{\pm}249$), (오른쪽: $911{\pm}207$, 왼쪽: $815{\pm}265$), (오른쪽: $1065{\pm}267$, 왼쪽 $1546{\pm}267$)이었다. CVM 방법은 이상적 데이터와 좋은 상관관계를 보여주었고, 이상적 데이터와 대한 CVM 방법, Gate방법의 상관계수는 각각 (오른쪽: 0.91, 왼쪽: 0.93)와 (오른쪽: 0.85, 왼쪽 0.90)이었다. 결론: 기하학적 평균 감쇠보정을 이용한 CVM 방법은 Gate 방법보다 정량적으로 더 정확한 값을 제공하였다. 결론적으로, 신장 깊이에 영향을 받지 않는 CVM 방법으로 더욱 정확하게 신장의 방사능 섭취량을 측정할 수 있을 것으로 생각된다.

기관지 성형술 5례 보고 (Bronchoplasty -A report of 5 cases)

  • 김응중;김용진
    • Journal of Chest Surgery
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    • 제18권3호
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    • pp.497-505
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    • 1985
  • Bronchoplastic techniques represent the ideal surgical therapy for benign endobronchial tumors as well as tumors of low-grade malignant potential, such as bronchial adenomas, and for repair of traumatic airway injuries and benign strictures. This approach is also applicable to a select group of patients with carcinoma of the lung, with long-term survival being comparable to that achieved by standard pneumonectomy. Five bronchoplastic procedures were performed at Department of Thoracic and Cardiovascular Surgery, Seoul National University Hospital during 7 months periods from Dec. 1984 to Jun. 1985. Of the 5 patients, 3 patients were male and 2 patients were female and ages ranged from 8 years to 55 years old. The final diagnoses of 5 patients were as followed; traumatic bronchostenosis, endobronchial tuberculoma, carcinoid tumor, tuberculous bronchostenosis and traumatic bronchial fracture. Operative procedures of 5 patients were as followed; resection and end-to-end anastomosis of right main bronchus, left lower lobectomy and wedge resection of bronchus, left upper sleeve lobectomy, right middle and lower sleeve lobectomy and resection and end-to-end anastomosis of left main bronchus. And 2 lungs and 3 lobes could be preserved by these bronchoplastic procedures. There was no post-operative complication or mortality and all patients are being followed up without specific problem.

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쇼트트랙 스피드 스케이트 운동시 하지 관절각 분석 (A Study on Joint Angle of Lower Extremity during Short Track Speed Skating)

  • 박정훈;이효택;김용재
    • 수산해양교육연구
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    • 제25권3호
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    • pp.690-696
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    • 2013
  • This study, which is conducted on two groups of skilled people and unskilled people, is purposed to analyze joint angle of lower extremity during short track speed skating in order to find out efficient body position and propose ideal training method. Short Track Speed Skating has a wide range of research areas, but their findings indicate a promising area for further research. Targeting 8 people who are skilled in short track speed skating and 8 people who are not skilled in it, this study analyzes three dimensional images using super-high speed camera to compare differences between these two groups of people. In this study, 6 sections of body positions including right foot push-off, right foot recovery, right foot basic position, left foot push-off, left foot recovery, and left foot basic position were analyzed using 8 super-high speed cameras of VICON. These body positions were analyzed in order to find out joint angles of the hip joint, the knee joint, and the ankle joint. In the section 4 of the inner and outer parts of the left hip angles showed significant difference, and most of the sections of knee joint angles also showed significant difference. In the section 1 and 2 of the plantar flexion, dorsiflexion of ankle joints showed significant difference(p<.001) It was found out that there were differences between groups of skilled people and unskilled people in terms of lower extremity's joint angles such as angles of the hip joint, the knee joint, and the ankle joint.

(∈, ∈ ∨qk)-FUZZY IDEALS IN LEFT REGULAR ORDERED $\mathcal{LA}$-SEMIGROUPS

  • Yousafzai, Faisal;Khan, Asghar;Khan, Waqar;Aziz, Tariq
    • 호남수학학술지
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    • 제35권4호
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    • pp.583-606
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    • 2013
  • We generalize the idea of (${\in}$, ${\in}{\vee}q_k$)-fuzzy ordered semi-group and give the concept of (${\in}$, ${\in}{\vee}q_k$)-fuzzy ordered $\mathcal{LA}$-semigroup. We show that (${\in}$, ${\in}{\vee}q_k$)-fuzzy left (right, two-sided) ideals, (${\in}$, ${\in}{\vee}q_k$)-fuzzy (generalized) bi-ideals, (${\in}$, ${\in}{\vee}q_k$)-fuzzy interior ideals and (${\in}$, ${\in}{\vee}q_k$)-fuzzy (1, 2)-ideals need not to be coincide in an ordered $\mathcal{LA}$-semigroup but on the other hand, we prove that all these (${\in}$, ${\in}{\vee}q_k$)-fuzzy ideals coincide in a left regular class of an ordered $\mathcal{LA}$-semigroup. Further we investigate some useful conditions for an ordered $\mathcal{LA}$-semigroup to become a left regular ordered $\mathcal{LA}$-semigroup and characterize a left regular ordered $\mathcal{LA}$-semigroup in terms of (${\in}$, ${\in}{\vee}q_k$)-fuzzy one-sided ideals. Finally we connect an ideal theory with an (${\in}$, ${\in}{\vee}q_k$)-fuzzy ideal theory by using the notions of duo and (${\in}{\vee}q_k$)-fuzzy duo.

THE LATTICE OF INTUITIONISTIC FUZZY IDEALS OF A RING

  • Ahn, Young-Sin;Hur, Kul;Kim, Dae-Sig
    • Journal of applied mathematics & informatics
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    • 제19권1_2호
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    • pp.551-572
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    • 2005
  • Recently, there are some empirical Bayes procedures using NA samples. We point out a key equality which may not hold for NA samples. Thus, the results of those empirical Bayes procedures based on NA samples are dubious

INTUITIONISTIC FUZZY INTERIOR IDEALS IN ORDERED SEMIGROUPS

  • Shabir, Muhammad;Khan, A.
    • Journal of applied mathematics & informatics
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    • 제27권5_6호
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    • pp.1447-1457
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    • 2009
  • In this paper we define intuitionistic fuzzy interior ideals in ordered semigroups. We prove that in regular(resp. intra-regular and semisimple) ordered semigroups the concepts of intuitionistic fuzzy interior ideals and intuitionistic fuzzy ideals coincide. We prove that an ordered semi group is intuitionistic fuzzy simple if and only if every intutionistic fuzzy interior ideal is a constant function. We characterize intra-regular ordered semi groups in terms of interior (resp. intuitionistic fuzzy interior) ideals.

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