• Journal of applied mathematics & informatics
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• 제33권5_6호
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• pp.579-591
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• 2015

Properties of prime filters are studied in BE-algebras as well as in commutative BE-algebras. An equivalent condition is derived for a BE-algebra to become a totally ordered set. A condition L is introduced in a commutative BE-algebra in ordered to study some more properties of prime filters in commutative BE-algebras. A set of equivalent conditions is derived for a commutative BE-algebra to become a chain. Some topological properties of the space of all prime filters of BE-algebras are studied.

• 호남수학학술지
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• 제23권1호
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• pp.1-4
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• 2001

In [2, 7.3.2], the set of attached prime ideals of local cohomology module $H_m^n(M)$ were calculated, where (A, m) be Noetherian local ring, M finite A-module and $dim_A(M)=n$, and also in the special case in which furthermore A is a homomorphic image of a Gornestien local ring (A', m') (see [2, 11.3.6]). In this paper, we shall obtain this set, by another way in this special case.

• 한국수학교육학회지시리즈B:순수및응용수학
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• 제12권3호
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• pp.193-209
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• 2005

We introduce the notions of intuitionistic fuzzy prime ideals, intuitionistic fuzzy completely prime ideals and intuitionistic fuzzy weakly completely prime ideals. And we give a characterization of intuitionistic fuzzy ideals and establish relationships between intuitionistic fuzzy completely prime ideals and intuitionistic fuzzy weakly completely prime ideals.

• 대한지리학회지
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• 제52권1호
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• pp.73-103
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• 2017

이 논문은 현존하는 임진정계 경계표지 토퇴들의 분포와 특징에 대해 보고하고 있다. 그를 통해 목극등 지도에 표시된 '수출(水出)'의 위치를 확인하고자 하였다. 흑석구 동남안을 따라 설치된 토퇴들 중 마지막 토퇴의 위치는 대략 북위 $42^{\circ}04^{\prime}20.09^{{\prime}{\prime}}$, 동경 $128^{\circ}16^{\prime}08.42^{{\prime}{\prime}}$이다. '도화선 도로변 토퇴군'의 서쪽 시점은 대략 북위 $42^{\circ}02^{\prime}20.14^{{\prime}{\prime}}$, 동경 $128^{\circ}18^{\prime}53.40^{{\prime}{\prime}}$이며, 동쪽 종점의 좌표는 대략 북위 $42^{\circ}01^{\prime}32.97^{{\prime}{\prime}}$, 동경 $128^{\circ}21^{\prime}24.59^{{\prime}{\prime}}$이다. 서쪽 시점에서 약 2.1㎞ 지점까지는 대체적으로 "서-동"의 방향이며, 그 이동은 대체적으로 "서북-동남" 방향이다. 도화선 도로변 토퇴의 총 분포 길이는 실제거리 약 4.2㎞ 정도이다. 목극등 지도에 표시된 '수출'의 좌표는 대략 북위 $42^{\circ}01^{\prime}30.36^{{\prime}{\prime}}$, 동경 $128^{\circ}21^{\prime}3.62^{{\prime}{\prime}}$이다. 동쪽 마지막 토퇴의 동남 방향 지도상 평면 직선거리 약 222m 지점이다. 이러한 결과를 근거로 임진정계에 대한 재해석을 시도하였다.

• 대한수학회보
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• 제35권3호
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• pp.605-613
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• 1998

We study the permanent set of the prime Boolean matrices in the semigroup of Boolean matrices. We define a class $M_n$ of prime matrices, and find all the possible permanents of the elements in $M_n$.

• 호남수학학술지
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• 제29권4호
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• pp.667-679
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• 2007

We study the prime ideal structure of the direct sum of directed system of rings indexed by a commutative semigroup which is nilpotent extension of a group.

• 대한수학회보
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• 제60권4호
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• pp.933-955
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• 2023

For any prime number p, let J(p) be the set of positive integers n such that the numerator of the n^th harmonic number in the lowest terms is divisible by this prime number p. We consider an extension of this set to the generalized harmonic numbers, which are a natural extension of the harmonic numbers. Then, we present an upper bound for the number of elements in this set. Moreover, we state an explicit condition to show the finiteness of our set, together with relations to Bernoulli and Euler numbers.

• 대한수학회지
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• 제59권3호
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• pp.439-448
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• 2022

For a natural number n, let R(n) denote the number of representations of n as the sum of one square and five cubes of primes. In this paper, it is proved that the anticipated asymptotic formula for R(n) fails for at most $O(N^{{\frac{4}{9}+{\varepsilon}})$ positive integers not exceeding N.

• 한국조리학회지
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• 제10권2호
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• pp.121-134
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• 2004

The research on set menus served at Japanese restaurants at special-rate hotels around Gwangju and Jeonla Province suggests problems and rooms for improvement through examination of the current status of set menus at Japanese Restaurant in hotels of Gwangju and southern Jeonla province, prime cost, and sales volume. Advantageous points of course menus served at Japanese restaurants at hotels are as followings: a variety of courses are available; ingredients can reflect seasonal change; clients are satisfied with food at reasonable cost; and it results in sales increase. Based on such measures, more efforts should be made in order to advance preference and satisfaction with menus, cut back on prime cost, and maximize sales volume.

• 대한수학회논문집
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• 제32권3호
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• pp.543-552
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• 2017

Let R be a commutative ring with identity, and ${\phi}:{\mathfrak{I}}(R){\rightarrow}{\mathfrak{I}}(R){\cup}\{{\varnothing}\}$ be a function where ${\mathfrak{I}}(R)$ is the set of all ideals of R. Following [2], a proper ideal P of R is called a ${\phi}$-prime ideal if $x,y{\in}R$ with $xy{\in}P-{\phi}(P)$ implies $x{\in}P$ or $y{\in}P$. For an ideal I of R, we define the ${\phi}$-radical ${\sqrt[{\phi}]{I}}$ to be the intersection of all ${\phi}$-prime ideals of R containing I, and show that this notion inherits most of the essential properties of the usual notion of radical of an ideal. We also investigate when the set of all ${\phi}$-prime ideals of R, denoted $Spec_{\phi}(R)$, has a Zariski topology analogous to that of the prime spectrum Spec(R), and show that this topological space is Noetherian if and only if ${\phi}$-radical ideals of R satisfy the ascending chain condition.