• Journal of applied mathematics & informatics
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• v.6 no.2
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• pp.575-588
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• 1999

Lower dimensional cases of Einstein's connection were al-ready investigated by many authors for n =2,4. This paper is to ob-tain a surveyable tensorial representation of n-dimensional Einstein's connection in terms of the unified field tensor with main emphasis on the derivation of powerful and useful recurrence relations which hold in n-dimensional Einstein's unified field theory(i.e., n-*g-UFT): All con-siderations in this paper are restricted to the third class only.

• Journal of Technologic Dentistry
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• v.8 no.1
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• pp.31-36
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• 1986

This treatise suggests the effective method for the dental laboratory technology teaching plan. It will present concrete practical steps for and audio-visual dental laboratory technology education approach. It will also help students to understand the dental laboratory theory and practice learned in the class and make use of it greatly in the field work. As follows: 1. Instructor should teach interestingly basic dental laboratory technology theory with illustrations and figures on the teaching method. 2. In practical traing class, instructor should teach every step, using audio-visual materials such as slides and video tapes/Instructor and his assist and should show an example to the students. 3. Instructor should make a standard and train the studtnes repeatedly until they come up to it. 4. Students should be skilled in every case through field work during their spare time and vacation. 5. Instructor should also teach job moral and manner to the students so that they can be adapted themselves to the social activities and be successful dental laboratory technician after graduation.

• Journal of the Korean Mathematical Society
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• v.55 no.2
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• pp.343-372
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• 2018

Let K be an imaginary quadratic field with ring of integers ${\mathcal{O}}_K$. Let E be an elliptic curve with complex multiplication by ${\mathcal{O}}_K$, and let $h_E$ be the Weber function on E. Let $N{\in}\{2,3,4,6\}$. We show that $h_E$ alone when evaluated at a certain N-torsion point on E generates the ray class field of K modulo $N{\mathcal{O}}_K$. This would be a partial answer to the question raised by Hasse and Ramachandra.

• Journal of the Korean Mathematical Society
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• v.55 no.1
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• pp.131-146
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• 2018

We generate ring class fields of imaginary quadratic fields in terms of the special values of certain eta-quotients, which are related to the relative norms of Siegel-Ramachandra invariants. These give us minimal polynomials with relatively small coefficients from which we are able to solve certain quadratic Diophantine equations concerning non-convenient numbers.

• Korean Journal of Mathematics
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• v.2
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• pp.19-33
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• 1994

• Communications of the Korean Mathematical Society
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• v.4 no.2
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• pp.331-347
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• 1989

• Honam Mathematical Journal
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• v.27 no.3
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• pp.515-523
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• 2005

We investigate change of the connection induced by the conformal change in 8-dimensional g-unified field theory. These topics will be studied for the second class with the first category in 8-dimensional case.

• Korean Journal of Mathematics
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• v.27 no.3
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• pp.657-660
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• 2019

We give necessary and sufficient condition for the Greenberg's generalized conjecture conjecture on certain imaginary quadratic fields.

• Honam Mathematical Journal
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• v.26 no.4
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• pp.509-532
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• 2004

Lower dimensional cases of Einstein's connection were already investigated by many authors for n = 2, 3, 4, 5, 6, 7. This paper is the first part of the following series of two papers, in which we obtain a surveyable tensorial representation of 8-dimensional Einstein's connection in terms of the unified field tensor, with main emphasis on the derivation of powerful and useful recurrence relations which hold in 8-dimensional Einstein's unified field theory(i.e., 8-g-UFT): I. The recurrence relations in 8-g-UFT II. The Einstein's connection in 8-g-UFT All considerations in these papers are restricted to the second class only, since the case of the first class are done in [1], [2] and the case of the third class, the simplest case, was already studied by many authors.

• Bulletin of the Korean Mathematical Society
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• v.29 no.1
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• pp.153-163
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• 1992

Carlitz module is used to study abelian extensions of K=$F_{q}$(T). In number theory every abelian etension of Q is contained in a cyclotomic field. Similarly every abelian extension of $F_{q}$(T) with some condition on .inf. is contained in a cyclotomic function field. Hence the study of cyclotomic function fields in analogy with cyclotomic fields is an important subject in number theory. Much are known in this direction such as ring of integers, class groups and units ([G], [G-R]). In this article we are concerned with the ring of integers in a cyclotomic function field. In [G], it is shown that the ring of integers is generated by a primitive root of the Carlitz module using the ramification theory and localization. Here we will give another proof, which is rather elementary and explicit, of this fact following the methods in [W].[W].