• Communications of the Korean Mathematical Society
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• v.20 no.3
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• pp.467-485
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• 2005

Let p and q be odd primes with p=2q+1. We study the number of solutions of congruence equations $ax^i\;+\;by^j\;{\equiv}\;c$ (mod p) and a$ax^i\;+\;by^j\;+\;dz^t\;{\equiv}\;c(modp)$

• Bulletin of the Korean Mathematical Society
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• v.46 no.3
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• pp.591-598
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• 2009

This paper studies the relations between ideals, filters, regular congruences and normal congruences in inclines. It is shown that for any incline, there are a one-to-one correspondence between all ideals and all regular congruences and a one-to-one correspondence between all filters and all normal congruences.

• Bulletin of the Korean Mathematical Society
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• v.36 no.1
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• pp.139-146
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• 1999

It is known that a right nilpotent congruence $\beta$ on a finite algebra A is also left nilpotent [3]. The question on whether the left nilpotency class of $\beta$ in less than or equal to the right nilpotency class of $\beta$is still open. In this paper we find an upper limit for the left nilpotency class of $\beta$. In addition, under the assumption that 1 $\in$ typ{A}, we show that $(\beta]^k=[\beta)^k$ for all k$\geq$1. Thus the left and right nilpotency classes of $\beta$ are the same in this case.

• Journal of the Korean Institute of Intelligent Systems
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• v.17 no.1
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• pp.100-111
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• 2007

We introduce the concept of intuitionistic fuzzy G-equivalence relations (congruence), and we obtain some results. Furthermore, we prove that $IFC_G(K)$ is isomorphic to $IFN^*(K)$ for any group K. Also, we prove that($IFC_{G,({\lambda},{\mu})}/{\sim},\;*$) and ($IFNG_{({\lambda},{\mu})}(K),\;{\circ}$) are isomorphic.

• Communications of the Korean Mathematical Society
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• v.28 no.3
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• pp.481-486
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• 2013

In this note, we show that $\mathcal{M}({\Gamma}_0(N))$ is a weighted polynomial ring if and only if N = 1, 2, 4, where $\mathcal{M}({\Gamma}_0(N))$ is the graded ring of integral-weighted modular forms for the congruence subgroup ${\Gamma}_0(N)$.

• Bulletin of the Korean Mathematical Society
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• v.59 no.1
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• pp.15-25
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• 2022

In 1963, Graham introduced a problem to find integer partitions such that the reciprocal sum of their parts is 1. Inspired by Graham's work and classical partition identities, we show that there is an integer partition of a sufficiently large integer n such that the reciprocal sum of the parts is 1, while the parts satisfy certain congruence conditions.

• East Asian mathematical journal
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• v.40 no.1
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• pp.95-107
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• 2024

Let K be an imaginary quadratic field with ring of integers 𝓞_K and N be a positive integer. By K_(N) we mean the ray class field of K modulo N𝓞_K. In this paper, for each prime p of K relatively prime to N𝓞_K we explicitly describe the action of the Artin symbol (${\frac{K_{(N)}/K}{p}}$) on special values of modular functions of level N. Furthermore, we extend the Kronecker congruence relation for the elliptic modular function j to some modular functions of higher level.

• The Journal of the Korea Contents Association
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• v.15 no.7
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• pp.389-402
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• 2015

Due to tough competition among social network services, technological specification alone could not be an adoption factor by the users. Instead, emotional factors such as a brand image and feeling towards an SNS brand became important factors in service differentiation. This study examined Korean young users perception of brand personalities of three social network services, Facebook, Kakao Story, and Band. It also analyzed the influence of the perception of brand personality, brand-self-image congruence, and brand affect on brand recommendation to others. The authors conducted a survey of Korean college students. The results indicate that SNS users perceived three SNS's brand personalities differently, and the positive perception of an SNS service has a positive effect on brand recommendation. Brand personality, brand-self-image congruence, and brand affect combined determine brand recommendation. When the brand personality variable is statistically controlled, brand affect has strong effect on brand recommendation.

• The Journal of the Korea Contents Association
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• v.17 no.10
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• pp.343-359
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• 2017

This study aims to analyze the government accounting system of South Korea on the institutional complex and institutional congruence of new institutional theory and suggests policy reform for the system. I researched the literatures on the national and local accounting system and compiled research materials from the Ministry of Strategy and Finance, the Ministry of Interior and Safety, the Board of Audit and Inspection, and Government Accounting and Finance Statistics Center websites. Analysis showed that the government accounting system consists of various elements in institutional complex and the congruence level of national and local accounting system of South Korea is low in production, disclosure, and application of information. The suggestions of this study include: introducing accounting position recruitment, adopting government audit system, and improving cooperation between national accounting organizations and local accounting organizations for reliable information production; disclosing real time information and revealing information linking national and local accounting for transparent information disclosure; educating information user, providing accurate cost and available financial analysis indicators, introducing chief financial officer, and expanding range of consolidated national financial statements for information application.

• Journal of Distribution Science
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• v.16 no.4
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• pp.75-82
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• 2018

Purpose - As the role of salespersons in retail stores has expanded from selling products to sharing brand experiences with customers, the importance of research on the effects of salesperson-brand relationships has grown. The purpose of this research is to investigate the influences of salespersons' brand identification on conceptual fluency and customers' service and brand evaluations. It was supposed that salespersons' brand identification is affected by brand knowledge, which is a core dimension of internal branding. Research design, data, and methodology - The author developed a structural model in which salespersons' brand knowledge influences brand identification, hence customers' perception of salesperson-brand image congruence. And it is hypothesized that salesperson-brand image congruence influences conceptual fluency which affects customers' satisfaction and brand evaluation. Data were collected from five department stores in Seoul. Results - First, salespersons' brand knowledge was found to have a significant effect on brand identification. The more a salesperson knows about the affiliated brand, the higher her level of brand identification. Second, salespersons' brand identification influenced salesperson-brand image congruence. Third, salesperson-brand image congruence had a significant effect on brand conceptual fluency. Customers who perceive salesperson-brand image congruent are more likely to process information easily. Finally, conceptual fluency was found to be a significant determinant of store loyalty and brand value evaluation. Conclusions - The results of this study verify importance of salesperson's brand identification on customers' service and brand evaluations. To enhance salespersons' brand identification, retailers should emphasize the importance of internal branding and communication, especially by sharing brand vision, values, and identity with employees at customer contact points. Also, as brand conceptual fluency is a significant determinant of customer responses, retailers need to deliver consistent messages through various components of store environments, including salespersons' attitudes, appearances, and manners, as well as physical store design. With a deeper understanding of the effects of salesperson-brand relationship and brand conceptual fluency, retailers will be able to create more effective brand strategies to enhance their performances. Future studies should consider data from various retail types, such as discount stores, to generalize the findings.