• 제목/요약/키워드: $\kappa$-regular

검색결과 18건 처리시간 0.027초

ON THE κ-REGULAR SEQUENCES AND THE GENERALIZATION OF F-MODULES

  • Ahmadi-Amoli, Khadijeh;Sanaei, Navid
    • 대한수학회지
    • /
    • 제49권5호
    • /
    • pp.1083-1096
    • /
    • 2012
  • For a given ideal I of a Noetherian ring R and an arbitrary integer ${\kappa}{\geq}-1$, we apply the concept of ${\kappa}$-regular sequences and the notion of ${\kappa}$-depth to give some results on modules called ${\kappa}$-Cohen Macaulay modules, which in local case, is exactly the ${\kappa}$-modules (as a generalization of f-modules). Meanwhile, we give an expression of local cohomology with respect to any ${\kappa}$-regular sequence in I, in a particular case. We prove that the dimension of homology modules of the Koszul complex with respect to any ${\kappa}$-regular sequence is at most ${\kappa}$. Therefore homology modules of the Koszul complex with respect to any filter regular sequence has finite length.

ON DOUBLY STOCHASTIC ${\kappa}-POTENT$ MATRICES AND REGULAR MATRICES

  • Pyo, Sung-Soo
    • 대한수학회보
    • /
    • 제37권2호
    • /
    • pp.401-409
    • /
    • 2000
  • In this paper, we determine the structure of ${\kappa}-potent$ elements and regular elements of the semigroup ${\Omega}_n$of doubly stochastic matrices of order n. In connection with this, we find the structure of the matrices X satisfying the equation AXA = A. From these, we determine a condition of a doubly stochastic matrix A whose Moore-Penrose generalized is also a doubly stochastic matrix.

  • PDF

ON CONFORMAL TRANSFORMATIONS BETWEEN TWO ALMOST REGULAR (α, β)-METRICS

  • Chen, Guangzu;Liu, Lihong
    • 대한수학회보
    • /
    • 제55권4호
    • /
    • pp.1231-1240
    • /
    • 2018
  • In this paper, we characterize the conformal transformations between two almost regular (${\alpha},{\beta}$)-metrics. Suppose that F is a non-Riemannian (${\alpha},{\beta}$)-metric and is conformally related to ${\widetilde{F}}$, that is, ${\widetilde{F}}=e^{{\kappa}(x)}F$, where ${\kappa}:={\kappa}(x)$ is a scalar function on the manifold. We obtain the necessary and sufficient conditions of the conformal transformation between F and ${\widetilde{F}}$ preserving the mean Landsberg curvature. Further, when both F and ${\widetilde{F}}$ are regular, the conformal transformation between F and ${\widetilde{F}}$ preserving the mean Landsberg curvature must be a homothety.

ON STRONG REGULARITY AND RELATED CONCEPTS

  • Cho, Yong-Uk
    • Journal of applied mathematics & informatics
    • /
    • 제28권1_2호
    • /
    • pp.509-513
    • /
    • 2010
  • In this paper, we will investigate some properties of strongly reduced near-rings. The purpose of this paper is to find more characterizations of the strong regularity in near-rings, which are closely related with strongly reduced near-rings.

ON NEAR-RINGS WITH STRONG REGULARITY

  • Cho, Yong-Uk
    • 한국수학교육학회지시리즈B:순수및응용수학
    • /
    • 제17권2호
    • /
    • pp.131-136
    • /
    • 2010
  • Throught this paper, we will investigate some properties of left regular and strongly reduced near-rings. Mason introduced the notion of left regularity and he characterized left regular zero-symmetric unital near-rings. Also, this concept have been studied by several authors. The purpose of this paper is to find some characterizations of the strong reducibility in near-rings, and the strong regularity in near-rings which are closely related with strongly reduced near-rings.

노화유도 쥐의 대동맥에서 L-arginine 투여와 규칙적인 운동의 효과: 염증인자와 혈관이완조절 인자의 변화 (Effects of L-Arginine Supplementation and Regular Exercise in D-Galactose Induced Aging Rat Aorta: Study on Inflammatory Factors, Vasodilation Regulatory Factors)

  • 이진;곽이섭;유영준;박석
    • 생명과학회지
    • /
    • 제21권10호
    • /
    • pp.1415-1421
    • /
    • 2011
  • 이 연구는 L-arginine과 규칙적인 운동이 D-galctose (D-all)투여로 유발된 노화흰쥐의 대동맥에서 발현되는 NF-${\kappa}B$, TNF-a, iNOS, Cav-1, eNOS, Ang II의 변화양상을 관찰하는데 그 목적을 두고 있다. 노화유도 모델 쥐는 D-gal (50 mg/kg)를 숫컷 Strague-Dawley (SD)계 흰쥐의 복강에 1일 1회 총 12주간 투여하여 생산하였으며, 이 실험의 집단은 젊은 대조군(Y-con, n=8), 노화 대조군(A-con, n=8), 노화 운동군(A-Ex, n=8), 노화운동+아르기닌군(A-Ex+A, n=8), 노화 아르기닌군(A-A, n=8)의 5군으로 분류하여 실시하였다. L-arginine은 1일 150 mg/kg씩 총 12주간 경구투여 하였다. 운동방법은 트레이드운동으로 1일 60분씩 20 m/min 속도에서 훈련하였다. 분석결과 1) 유도된 노화군에서 NF-${\kappa}B$, TNF-a, iNOS, Cav-1, 그리고 Ang II 단백질의 발현은 젊은 대조군에 비해 유의하게 증가하였다. 그러나 규칙적인 운동과 L-아르기닌군에서 NF-${\kappa}B$, TNF-a, iNOS, Cav-1, 그리고 Ang II 단백질의 발현은 노화 대조군에 비해 유의하게 감소하였다. 2) 유도된 노화군에서의 eNOS 단백질 발현은 젊은 대조군에 비해 유의하게 감소하였다. 그러나 규칙적인 운동과 L-아르기닌군은 eNOS 단백질의 발현을 더욱 증가시킨 것으로 나타났다. 이상의 결과를 종합하면 12주간 L-아르기닌 투여와 규칙적인 운동 그리고 복합처치는 염증인자와 관련된 단백질인 NF-${\kappa}B$, TNF-a, iNOS 단백질들의 발현을 억제시켜 항염증효과를 보여주었으며, 혈관내피의 기능향상과 관련된 eNOS의 발현을 증가시키는데 긍정적인 역할을 수행할 것으로 기대된다.

SOME PROPERTIES OF (m, n)-POTENT CONDITIONS

  • CHO, YONG UK
    • Journal of applied mathematics & informatics
    • /
    • 제33권3_4호
    • /
    • pp.469-474
    • /
    • 2015
  • In this paper, we will consider the notions of (m, n)-potent conditions in near-rings, in particular, a near-ring R with left bipotent or right bipotent condition. We will derive some properties of near-rings with (1, n) and (n, 1)-potent conditions where n is a positive integer, and then some properties of near-rings with (m, n)-potent conditions. Also, we may discuss the behavior of R-subgroups in (1, n)-potent or (n, 1)-potent near-rings..

A LARGE-UPDATE INTERIOR POINT ALGORITHM FOR $P_*(\kappa)$ LCP BASED ON A NEW KERNEL FUNCTION

  • Cho, You-Young;Cho, Gyeong-Mi
    • East Asian mathematical journal
    • /
    • 제26권1호
    • /
    • pp.9-23
    • /
    • 2010
  • In this paper we generalize large-update primal-dual interior point methods for linear optimization problems in [2] to the $P_*(\kappa)$ linear complementarity problems based on a new kernel function which includes the kernel function in [2] as a special case. The kernel function is neither self-regular nor eligible. Furthermore, we improve the complexity result in [2] from $O(\sqrt[]{n}(\log\;n)^2\;\log\;\frac{n{\mu}o}{\epsilon})$ to $O\sqrt[]{n}(\log\;n)\log(\log\;n)\log\;\frac{m{\mu}o}{\epsilon}$.

한 공업계 고등학생에서 흡연관련 설문과 요중 코티닌과의 관련성 (Relationship between Smoking-related Questionnaire and Urinary Cotinine in Some Students of A Vocational High School)

  • 이충원;이중정
    • 보건교육건강증진학회지
    • /
    • 제19권2호
    • /
    • pp.15-22
    • /
    • 2002
  • The purpose of the study was to assess relationship between smoking-related questionnaire and urinary cotinine. Seventy-five students of each one class of the first and second grade in one vocational school were administered the smoking-related items of the Youth Risk Behavior Survey October 2000, after which urine samples were collected. Urinary cotinine was detected by qualitative AccuSign Nicotine immunoassay. Positivity of urinary cotinine was detected in 29 of 75 students (38.7%). Kappa coefficients between self-reported smoking behaviors and positivity of urinary cotinine were all statistically significant, showing 0.41, 0.50, 0.28, 0.71 in lifetime smokers, regular smokers, current smokers, and current frequent smokers, respectively. These results showed that self-reported questionnaire may be useful in smoking-related survey and qualitative urinary cotinine may be used as validation of self-reported questionnaire.

Numerical study of ship motions and added resistance in regular incident waves of KVLCC2 model

  • Ozdemir, Yavuz Hakan;Barlas, Baris
    • International Journal of Naval Architecture and Ocean Engineering
    • /
    • 제9권2호
    • /
    • pp.149-159
    • /
    • 2017
  • In this study, the numerical investigation of ship motions and added resistance at constant forward velocity of KVLCC2 model is presented. Finite volume CFD code is used to calculate three dimensional, incompressible, unsteady RANS equations. Numerical computations show that reliable numerical results can be obtained in head waves. In the numerical analyses, body attached mesh method is used to simulate the ship motions. Free surface is simulated by using VOF method. The relationship between the turbulence viscosity and the velocities are obtained through the standard ${\kappa}-{\varepsilon}$ turbulence model. The numerical results are examined in terms of ship resistance, ship motions and added resistance. The validation studies are carried out by comparing the present results obtained for the KVLCC2 hull from the literature. It is shown that, ship resistance, pitch and heave motions in regular head waves can be estimated accurately, although, added resistance can be predicted with some error.