• 대한수학회보
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• 제29권1호
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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.

• 패션비즈니스
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• 제15권6호
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• pp.163-175
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• 2011

This study tried to improve the design of the symbol mark for the fashion industry and effectively publicize the brand image of a small fashion accessory company through a powerful visual communication strategy. For this purpose, this study performed research and an analysis of the features of existing fashion accessory companies as well as the current status and features of their utilization of symbol marks for the enhancement of the brand's image. Total 48 fashion accessory brands focued on jewerly were selected from the Dictionary of Fashion Brand and the types of symbol analyzed the concepts and formative aesthetics of the symbol mark design in each brand. Based on the data, this study designed the fashion accessory company's logo and a new symbol mark design. It makes full use of the characteristics of the logos and the symbol mark that reflect the most critical issues of fashion accessory design so as to promote the consumers' level of product recognition as well as the product symbol characteristics. In the case of combining characters with concrete objects, they were found generally to use objects that give elegance, cute and feminine images, such as rings, hearts and small pets. Moreover, colors in the series of black/grey seemed to be used to convey the concept of accessory brands that pursue modern, sophisticate, and practical images. As these design plans, enhancement of the consumers' level of recognition of the brand is attempted as well as the execution of an effective publicity of the feature of the product through the use of the logo and symbol marks reflecting the features of the fashion accessory, instead of simply introducing the brand or product. The result of this study indicates that methods to design brand symbol marks for clothing should be incessantly sought in a way to build brand power as an important component to represent concepts and reinforce brand image.