• Title/Summary/Keyword: Regular field

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EFFICINET GENERATION OF MAXIMAL IDEALS IN POLYNOMIAL RINGS

  • Kim, Sunah
    • Bulletin of the Korean Mathematical Society
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    • v.29 no.1
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    • pp.137-143
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    • 1992
  • The purpose of this paper is to provide the affirmative solution of the following conjecture due to Davis and Geramita. Conjecture; Let A=R[T] be a polynomial ring in one variable, where R is a regular local ring of dimension d. Then maximal ideals in A are complete intersection. Geramita has proved that the conjecture is true when R is a regular local ring of dimension 2. Whatwadekar has rpoved that conjecture is true when R is a formal power series ring over a field and also when R is a localization of an affine algebra over an infinite perfect field. Nashier also proved that conjecture is true when R is a local ring of D[ $X_{1}$,.., $X_{d-1}$] at the maximal ideal (.pi., $X_{1}$,.., $X_{d-1}$) where (D,(.pi.)) is a discrete valuation ring with infinite residue field. The methods to establish our results are following from Nashier's method. We divide this paper into three sections. In section 1 we state Theorems without proofs which are used in section 2 and 3. In section 2 we prove some lemmas and propositions which are used in proving our results. In section 3 we prove our main theorem.eorem.rem.

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Architecture for Efficient Character Class Matching in Regular Expression Processor (정규표현식 프로세서에서의 효율적 문자 클래스 매칭을 위한 구조)

  • Yun, SangKyun
    • Journal of IKEEE
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    • v.22 no.1
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    • pp.87-92
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    • 2018
  • Like CPUs, regular expression processors that perform regular expression pattern matching using instructions have been proposed recently. Of these, only REMPc provides features for character class matching. In this paper, we propose an architecture for efficient character class matching in a regular expression processor, which use character class bitmap format in a instruction operand field and implement the hard-wired character class comparator for several frequently used character classes. Using the proposed method, most of the character classes used in Snort rule can be represented by an operand or an instruction. Thus, character class matching can be performed more efficiently in the proposed archiecture than in REMPc.

A Study on the Effect of Emotional Intelligence on Organizational Commitment and Work Performance of Non-regular Hotel Culinary Staff (비정규직 호텔 조리종사원의 감성지능이 조직몰입, 업무성과에 미치는 영향에 관한 연구)

  • Kim, Dong-Gyu;Lee, Yeon-Jung
    • Culinary science and hospitality research
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    • v.23 no.4
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    • pp.43-55
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    • 2017
  • The purpose of the study is to provide data for an efficient human resources management of hotel corporation by examining if the emotional intelligence with affective involvement and continuous involvement could impact work performance. For the field test and verification, the non-regular hotel staffs from November $1^{st}$ to $30^{th}$, 2016 were selected as the research objects. The research result is summarized as follows. First, the emotional intelligence of non-regular hotel staff impacted positively on affective involvement and continuous involvement. Second, the continuous involvement had a positive influence on work performance. Lastly, the emotional intelligence of non-regular hotel staff appeared to have a positive effect on the work performance. With this research, it may have an opportunity to utilize this study result as an educational material to enhance emotional intelligence of hotel corporation. In conclusion, it may need to introduce an emotional intelligence enhancement program in the hotel corporation. Also, in order to improve work performance, intensive efforts in organizational level would be required by enabling employees to make an affective involvement. Finally, to cope with rapidly changing circumstances, additional empirical study should be conducted that the affective involvement of non-regular hotel staff impacts the work performance.

Collaborative Management of the Joint Homeroom Teacher System with Two Regular Teachers at Early Childhood Education Institutions (유아교육기관에서 정교사 2인 공동담임체제의 협력적 운영)

  • Moon, Yeon Shim;Kim, Jeong Hee
    • Korean Journal of Child Education & Care
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    • v.17 no.4
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    • pp.163-185
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    • 2017
  • This study set out to investigate the joint homeroom teacher system with two regular teachers at early childhood education institutions in a realistic manner, thus contributing to its application to the field, establishing a system of teachers with professionalism, and providing basic data to create and manage the collaborative capabilities of teachers. For these purposes, the investigator collected and analyzed data from 13 semi-structured individual and group interviews with 16 teachers at K Kindergarten in Gyeonggi Province, eight field observations, and four participant observations for about three months from April to July, 2017. The data were analyzed in the stages of qualitative data analysis involving keyword categories, classification, and discovery of sub-themes. Based on the findings, the study categorized the collaborative management of the joint homeroom teacher system with two regular teachers into "job performance," "difficulties," "institutional supports" and "changes." These findings lead to an expectation that the introduction of the joint homeroom teacher system with two regular teachers will establish a foundation for higher quality of education through the process and changes of collaborative management between two teachers with professionalism.

Fisheries Education and Research System in P.R.China (중국(中國)의 수산업분야(水産業分野) 교육(敎育) 및 연구체제(硏究體制))

  • Kang, Il-Kweon
    • Journal of Fisheries and Marine Sciences Education
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    • v.5 no.2
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    • pp.80-89
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    • 1993
  • Notwithstanding Korea and P. R.China are located in the neighborhood each other geographically, the break of diplomatic relations of them continued a long term, and the difference of ideology and social structure of two countries was acting as a barrier to understand each other in many fields. Two countries established formal diplomatic relation in 1992, and then the interchange and mutual cooperation between both countries are being performed rapidly, but the field of fisheries education and research system is continuing in the early stage yet. It can be easily expected that the interchange and mutual cooperation in the field of fisheries through the ocean contribute not only to the international friendship, but to the rational management of fisheries resources. In accordence with the necessity mentioned above, the author considered the general situation of fisheries education and research system in P. R. China. P. R. China runs two kinds of fisheries education system which are regular and irregular system. The regular education system is the principal means of cultivating fisheries scientists and technicians. And there are three grade levels in regular education : the tasks of which are undertaken by the fisheries universities, fisheries colleges and fisheries high schools. Adult education system in fisheries are of the following types : fishery cadet training courses, evening schools, correspondence courses and broadcasting or TV programs. The fisheries research in P. R. China is undertaken by the research institutes under the Bureau of Aquatic Products, and the basic research of oceanography is undertaken by the oceanographic institutes under the Chinese Academy of Science.

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MAXIMAL IDEALS IN POLYNOMIAL RINGS

  • Cho, Young-Hyun
    • Bulletin of the Korean Mathematical Society
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    • v.22 no.2
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    • pp.117-119
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    • 1985
  • Let R be a commutative noetherian ring with 1.neq.0, denoting by .nu.(I) the cardinality of a minimal basis of the ideal I. Let A be a polynomial ring in n>0 variables with coefficients in R, and let M be a maximal ideal of A. Generally it is shown that .nu.(M $A_{M}$).leq..nu.(M).leq..nu.(M $A_{M}$)+1. It is well known that the lower bound is not always satisfied, and the most classical examples occur in nonfactional Dedekind domains. But in many cases, (e.g., A is a polynomial ring whose coefficient ring is a field) the lower bound is attained. In [2] and [3], the conditions when the lower bound is satisfied is investigated. Especially in [3], it is shown that .nu.(M)=.nu.(M $A_{M}$) if M.cap.R=p is a maximal ideal or $A_{M}$ (equivalently $R_{p}$) is not regular or n>1. Hence the problem of determining whether .nu.(M)=.nu.(M $A_{M}$) can be studied when p is not maximal, $A_{M}$ is regular and n=1. The purpose of this note is to provide some conditions in which the lower bound is satisfied, when n=1 and R is a regular local ring (hence $A_{M}$ is regular)./ is regular).

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THE ZERO-DIVISOR GRAPH UNDER A GROUP ACTION IN A COMMUTATIVE RING

  • Han, Jun-Cheol
    • Journal of the Korean Mathematical Society
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    • v.47 no.5
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    • pp.1097-1106
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    • 2010
  • Let R be a commutative ring with identity, X the set of all nonzero, nonunits of R and G the group of all units of R. We will investigate some ring theoretic properties of R by considering $\Gamma$(R), the zero-divisor graph of R, under the regular action on X by G as follows: (1) If R is a ring such that X is a union of a finite number of orbits under the regular action on X by G, then there is a vertex of $\Gamma$(R) which is adjacent to every other vertex in $\Gamma$(R) if and only if R is a local ring or $R\;{\simeq}\;\mathbb{Z}_2\;{\times}\;F$ where F is a field; (2) If R is a local ring such that X is a union of n distinct orbits under the regular action of G on X, then all ideals of R consist of {{0}, J, $J^2$, $\ldots$, $J^n$, R} where J is the Jacobson radical of R; (3) If R is a ring such that X is a union of a finite number of orbits under the regular action on X by G, then the number of all ideals is finite and is greater than equal to the number of orbits.

REGULAR FUNCTIONS FOR DIFFERENT KINDS OF CONJUGATIONS IN THE BICOMPLEX NUMBER FIELD

  • Kang, Han Ul;Jung, Sangsu;Shon, Kwang Ho
    • East Asian mathematical journal
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    • v.32 no.5
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    • pp.641-649
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    • 2016
  • In this paper, using three types of conjugations in a bicomplex number filed $\mathcal{T}$, we provide some basic definitions of bicomplex number and definitions of regular functions for each differential operators. And we investigate the corresponding Cauchy-Riemann systems and the corresponding Cauchy theorems in $\mathcal{T}$ in Clifford analysis.

An Upper-Bound Analysis of the Square-Die Forward Extrusion of Regular Polygonal-Shaped Tubes from hollow-Cylindrical Billets at Final Stage (중공 원형 소재로부터 다각형 튜브 제품의 평금형 전방 압출에 대한 최종단계의 상계해석)

  • Kim, Dong Kwon;Cho, Jong Rae;Bae, Won Byong
    • Journal of the Korean Society for Precision Engineering
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    • v.12 no.11
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    • pp.91-97
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    • 1995
  • In this study, a deformation model for the regular polygonal-shaped tubes from hollow-cylindrical billets is proposed and a kinematically admissible velocity field is obtained from this deformation model. The final stage upper-bound extrusion load and the average extruded length are determined by minimizing the total power consumption with respect to chosen parameters. Experiments have been carried out with hard solder billets at room temperature. The theoretical predictions of the extrusion load are in good agreements with the experimental results and there is generally reasonable agreement in average extruded height between theory and experiment.

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Satisfaction with Children's Foodservice Facilities about Program at Center for Children's Foodservice Management in Seoul: Difference between Associate Members and Regular Members (서울 소재 어린이급식관리지원센터 수행 사업에 대한 어린이 급식소의 만족도 분석 - 회원 구분에 따른 비교를 중심으로 -)

  • Yeoh, Yoon-Jae;Kwon, Sooyoun;Go, Serin;Kim, Jiyoon
    • Journal of the East Asian Society of Dietary Life
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    • v.25 no.4
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    • pp.703-709
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    • 2015
  • The purpose of this study was to investigate satisfaction with children's foodservice facilities about program at Center for Children's Foodservice Management (CCFSM) by focusing on differences between associate and regular members. In December 2014, an online survey was conducted at 155 children's foodservice facilities which were enrolled members at CCFSM in Geumcheon-gu, Seoul. The questionnaire included the general characteristics of respondents, satisfaction with CCFSM's services : 'Field consulting', 'Education and training for cook', 'Menu', and 'Newsletter'. The questionnaire was responded by 78 foodservice facilities for children, including 42 regular members (53.8%) and 36 associate members (46.2%). The analysis rate was 50.3% and the majority of respondents were child-care centers (94.9%). As a result, satisfaction with 'Newsletter (4.87 points/5 points)' was the highest while 'Menu (3.95 points)' was the lowest. Satisfaction with 'Education and training for cook' of regular members (4.74 points) was significantly higher than that of associate members (4.41 points). For factors affecting overall satisfaction with CCFSM's service, there was a difference between associate and regular members. Regular members were significantly affected by 'Menu (p<0.001)', and 'Newsletter (p<0.05)'. Associate members were affected by 'Education and training for cook (p<0.05)'. Thus, satisfaction with Menu of CCFSM should be increased. The results of this study show that there was a difference in satisfaction between associate and regular members. Therefore, CCFSM program should be implemented depending on the characteristics of foodservice facilities for children and their needs.