• Bulletin of the Korean Mathematical Society
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• v.50 no.6
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• pp.2027-2034
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• 2013

In this article, it is proved that under some conditions every bijective Jordan triple product homomorphism from generalized matrix algebras onto rings is additive. As a corollary, we obtain that every bijective Jordan triple product homomorphism from $M_n(\mathcal{A})$ ($\mathcal{A}$ is not necessarily a prime algebra) onto an arbitrary ring $\mathcal{R}^{\prime}$ is additive.

• Bulletin of the Korean Mathematical Society
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• v.56 no.2
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• pp.451-459
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• 2019

Let ${\mathcal{A}}$ and ${\mathcal{B}}$ be two operator ${\ast}$-rings such that ${\mathcal{A}}$ is prime. In this paper, we show that if the map ${\Phi}:{\mathcal{A}}{\rightarrow}{\mathcal{B}}$ is bijective and preserves Jordan or ${\ast}$-Jordan triple product, then it is additive. Moreover, if ${\Phi}$ preserves Jordan triple product, we prove the multiplicativity or anti-multiplicativity of ${\Phi}$. Finally, we show that if ${\mathcal{A}}$ and ${\mathcal{B}}$ are two prime operator ${\ast}$-algebras, ${\Psi}:{\mathcal{A}}{\rightarrow}{\mathcal{B}}$ is bijective and preserves ${\ast}$-Jordan triple product, then ${\Psi}$ is a ${\mathbb{C}}$-linear or conjugate ${\mathbb{C}}$-linear ${\ast}$-isomorphism.

• The Pure and Applied Mathematics
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• v.29 no.1
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• pp.103-112
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• 2022

A definition of fractional vector cross product of two vectors in Euclidean 3-space is presented. The formulas for Euclidean norm of the fractional vector cross product of two vectors, and for fractional triple vector cross product are obtained.

• Honam Mathematical Journal
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• v.39 no.2
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• pp.267-273
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• 2017

The objective of this note is to establish three results between q-products and combinatorial partition identities in a elementary way. Several closely related q-product identities such as (for example)continued fraction identities and Jacobis triple product identities are also considered.

• East Asian mathematical journal
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• v.33 no.3
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• pp.291-293
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• 2017

We aim to present two identities which reveal certain interesting relationships among three fundamental theta functions arising from the Jacobi's triple product in an elementary way.

• Korean Journal of Mathematics
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• v.25 no.2
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• pp.211-214
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• 2017

In this paper we consider a triple of distinct points in the boundary of quaternionic hyperbolic space and detect where these points are by using the quaternionic triple product.

• Journal of the Korean Mathematical Society
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• v.61 no.3
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• pp.547-564
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• 2024

We study totally real and complex subsets of a right quarternionic vector space of dimension n + 1 with a Hermitian form of signature (n, 1) and extend these notions to right quaternionic projective space. Then we give a necessary and sufficient condition for a subset of a right quaternionic projective space to be totally real or complex in terms of the quaternionic Hermitian triple product. As an application, we show that the limit set of a non-elementary quaternionic Kleinian group 𝚪 is totally real (resp. commutative) with respect to the quaternionic Hermitian triple product if and only if 𝚪 leaves a real (resp. complex) hyperbolic subspace invariant.

• Korean Management Science Review
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• v.32 no.3
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• pp.119-130
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• 2015

Previous studies have demonstrated that the three dimensions of Triple Bottom Line (TBL : economic, social, and environmental responsibility) indirectly affect product/corporate evaluation through reciprocity perception and trust (expertize-based trust and benevolence-based trust). Different from the past studies, this study investigates on the indirect effects as well as the direct effects of the three dimensions on product/corporate evaluation. The empirical results can be summarized as follows. First, reciprocity perception affects benevolence-based trust but it does not expertize-based trust. Second, the effect of economic dimension on product/corporate evaluation is not affected by reciprocity perception and benevolence-based trust, however, the effects of social dimension and environmental dimension on product/corporate evaluation are affected by reciprocity perception and benevolence-based trust.

• Communications of the Korean Mathematical Society
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• v.23 no.2
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• pp.187-189
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• 2008

We aim at presenting an interesting result for a reducibility of Exton's triple hypergeometric series $X_2$. The identity to be given here is obtained by combining Exton's Laplace integral representation for $X_2$ and Henrici's formula for the product of three hypergeometric series.

• Journal of the Korean Society of Clothing and Textiles
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• v.39 no.5
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• pp.683-694
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• 2015

This study defines the concept of triple media and examines various marketing media that influence a consumer's purchase of outdoor fashion brands. We explore the effects of gender and age on information searches related to outdoor fashion brands and purchase criteria related to outdoor clothing. A survey of consumers who visited stores was conducted. We targeted consumers between the ages of 15 and 50 and analyzed 764 questionnaires. The results show that triple media involve eight factors: five factors (printed ads or radio ads, campaign ads, Internet ads, TV ads, and store ads) in paid media, one factor (direct marketing) in owned media, and two factors (channels of social network services, channels of direct promotion) in earned media. Further, the evaluation/appraisal criteria of outdoor clothing consist of four attributes (practicality, promotional activities, product power, and customer service). The teenager group showed significantly low usage of campaign ads, direct marketing, and direct promotion, while the use of Internet ads is particularly high among teenagers compared to other age groups. Moreover, teenagers are least likely to rely on practicality when evaluating clothing and are most likely to value product power. Additionally, women show significantly high usage of direct marketing. In terms of the clothing appraisal criteria, women assign higher value to practicality and promotional factors than men. The theoretical and managerial implications of the findings are discussed.