• 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.

• Journal of the Korean Mathematical Society
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• v.61 no.5
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• pp.899-922
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• 2024

Let f(z) be a primitive holomorphic cusp form and g(z) be a Maass cusp form. In this paper, we give quantitative results for the sign changes of coefficients of triple product L-functions L(f × f × f, s) and L(f × f × g, s).

• 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 applied mathematics & informatics
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• v.42 no.5
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• pp.1007-1023
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• 2024

In this paper we are able to define a standard fractional vector cross product(SFVCP) of two vectors in a Euclidean 3-space where it satisfies all the conditions of geometrical reality. For γ = 1 this definition satisfies the conditions of standard vector cross product(SVCP). The formulae for euclidean norm and fractional triple vector cross product of two vectors with standard fractional vector cross product are presented. Fractional curl and divergence of an electromagnetic vector field are presented using the new definition. All the properties are further supported with particular cases at γ = 0, γ = 1 and examples on standard orthogonal basis in R³. This concept has application in electrodynamics, elastodynamics, fluid flow etc.

• 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.