• 대한수학회논문집
• /
• 제11권3호
• /
• pp.569-573
• /
• 1996

We study some special cases of Chow groups of a ramified complete regular local ring R of dimension n. We prove that (a) for codimension 3 Gorenstein ideal I, [I] = 0 in $A_{n-3}(R)$ and (b) for a particular class of almost complete intersection prime ideals P of height i, [P] = 0 in $A_{n-i}(R)$.

• Journal of applied mathematics & informatics
• /
• 제28권3_4호
• /
• pp.1017-1023
• /
• 2010

We prove that a maximal ideal M of D[x] has two generators and is of the form where p is an irreducible element in a PID D having infinitely many nonassociate irreducible elements and q(x) is an irreducible non-constant polynomial in D[x]. Moreover, we find how minimal generators of maximal ideals of a polynomial ring D[x] over a DVR D consist of and how many generators those maximal ideals have.

• 대한수학회논문집
• /
• 제38권1호
• /
• pp.79-87
• /
• 2023

This paper considers some functional identities related to derivations of a ring R and their action on the centre of R/P where P is a prime ideal of R. It generalizes some previous results that are in the same spirit. Finally, examples proving that our restrictions cannot be relaxed are given.

• 대한물리치료과학회지
• /
• 제3권4호
• /
• pp.113-120
• /
• 1996

The purpose of this study was to comparison clinical applied versus theoretical fitness on axillary crutch in human stance phase. Ideal crutch length is defined as the length of the crutch, including accessories, obtained during stance when the crutch tip is 15 cm(about 6inch) lateral and 15 cm(about 6 inch) anterior to the fifth toe and the axillary pad is 5 cm(about 2 inch) below the axillay fold. The participations(volunteers) were 71 inpatients(53 men and 18 women) who have orthopedic and neurological impairment on unilateral and/or bilateral lower extrimities, and mean age was 31.4 year old. Prior to participation, each subject informed the procedures of experiment from researcher and assistant researcher. This measured for axillary crutch using each of the following aspects : (1) length of actual using crutch, (2) length of axillary fold after modified(77% of actual height), (3) angle of elbow flexion after modified(77% of actual height). In order to determine the statistical significance of result, t-test were applied at the 0.05 level of significance. The result were as follows ; 1. There was significant difference between actual crutch and ideal crutch length(77% of actual height)(p<0.05). 2. There was significant difference of length of axillary fold between actual and ideal crutch (77% of actual height)(p<0.05). 3. There was significant difference of angle of elbow flexion between actual and ideal crutch(77% of actual height)(p<0.05).

• 대한수학회보
• /
• 제45권4호
• /
• pp.757-762
• /
• 2008

In this paper, we generalize a few results of [7, 10] for lower radical classes of rings, by using the limit ordinal construction for lower radical classes of hemirings.

• 대한수학회지
• /
• 제57권4호
• /
• pp.1053-1057
• /
• 2020

We indicate that some results in [2] are wrong, and obtain some new results on them.

• Kyungpook Mathematical Journal
• /
• 제52권2호
• /
• pp.137-147
• /
• 2012

In this paper we introduce some new double sequence spaces via ideal convergence and an Orlicz function in $n$-normed spaces and examine some properties of the resulting spaces.

• 대한수학회논문집
• /
• 제20권2호
• /
• pp.275-290
• /
• 2005

Let $S\;=\;R[\chi_{ij}\mid1\;{\le}\;i\;{\le}\;m,\;1\;{\le}\;j\;{\le}\;n]$ be the polynomial ring over a noetherian commutative ring R and $I_p$ be the determinantal ideal generated by the $p\;\times\;p$ minors of the generic matrix $(\chi_{ij})(1{\le}P{\le}min(m,n))$. We describe a minimal free resolution of $S/I_{p}$, in the case m = n = p + 2 over $\mathbb{Z}$.

• 대한수학회보
• /
• 제58권1호
• /
• pp.195-204
• /
• 2021

Let R be a G-graded commutative ring with a nonzero unity and P be a proper graded ideal of R. Then P is said to be a graded uniformly pr-ideal of R if there exists n ∈ ℕ such that whenever a, b ∈ h(R) with ab ∈ P and Ann(a) = {0}, then bn ∈ P. The smallest such n is called the order of P and is denoted by ordR(P). In this article, we study the characterizations on this new class of graded ideals, and investigate the behaviour of graded uniformly pr-ideals in graded factor rings and in direct product of graded rings.

• 대한수학회보
• /
• 제52권2호
• /
• pp.525-530
• /
• 2015

Let D be an integrally closed domain with quotient field K, X be an indeterminate over D, $f=a_0+a_1X+{\cdots}+a_nX^n{\in}D[X]$ be irreducible in K[X], and $Q_f=fK[X]{\cap}D[X]$. In this paper, we show that $Q_f$ is a maximal ideal of D[X] if and only if $(\frac{a_1}{a_0},{\cdots},\frac{a_n}{a_0}){\subseteq}P$ for all nonzero prime ideals P of D; in this case, $Q_f=\frac{1}{a_0}fD[X]$. As a corollary, we have that if D is a Krull domain, then D has infinitely many height-one prime ideals if and only if each maximal ideal of D[X] has height ${\geq}2$.