• Journal of applied mathematics & informatics
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• v.33 no.5_6
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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.

• Honam Mathematical Journal
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• v.23 no.1
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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.

• The Pure and Applied Mathematics
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• v.12 no.3 s.29
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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.

• Journal of the Korean Geographical Society
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• v.52 no.1
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• pp.73-103
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• 2017

This paper reports the distribution of soil piles set up during the Yimjin(1712) Boundary Making and Demarcation(YBMD). Through the survey on the distribution of soil piles the location of 'Suchul'(水出: seepage zone) could be identified. The endpoint soil pile set up on the east-south bank of Heishigou(黑石溝) stream locates on $42^{\circ}04^{\prime}20.09^{{\prime}{\prime}}N$, $128^{\circ}16^{\prime}08.42^{{\prime}{\prime}}E$. The west beginning point of soil piles distributed in the south side of Tuhexian road locates on $42^{\circ}02^{\prime}20.14^{{\prime}{\prime}}N$, $128^{\circ}18^{\prime}53.40^{{\prime}{\prime}}E$. And the east endpoint of them locates $42^{\circ}01^{\prime}32.97^{{\prime}{\prime}}N$, $128^{\circ}21^{\prime}24.59^{{\prime}{\prime}}E$. From the west beginning point to the soil pile located in 2.1km distance from the beginning point, the distribution direction is west-east. The direction of soil piles after them is northwest-southeast. The total real length of soil piles distributed in the south side of Tuhexian(圖和線) road is about 4.2km more or less. The location of 'Suchul' written on the Mukedeng's map locates on $42^{\circ}01^{\prime}30.36^{{\prime}{\prime}}N$, $128^{\circ}21^{\prime}3.62^{{\prime}{\prime}}E$, The point locates in southeastward 222m distance from the soil piles endpoint of the south side of Tuhexian road. In reference of these reports this paper develops some reinterpretation on the YBMD.

• Bulletin of the Korean Mathematical Society
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• v.35 no.3
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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 $M_n$.

• Honam Mathematical Journal
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• v.29 no.4
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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.

• Bulletin of the Korean Mathematical Society
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• v.60 no.4
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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.

• Journal of the Korean Mathematical Society
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• v.59 no.3
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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.

• Culinary science and hospitality research
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• v.10 no.2
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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.

• Communications of the Korean Mathematical Society
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• v.32 no.3
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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.