• Kyungpook Mathematical Journal
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• 제26권2호
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• pp.149-155
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• 1986

• 대한수학회보
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• 제43권4호
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• pp.755-762
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• 2006

For a commutative ring R and an injective cogenerator E in the category of R-modules, we characterize von Neumann regular rings and semisimple artinian rings in terms of the properties of dual modules with respect to E.

• Kyungpook Mathematical Journal
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• 제59권1호
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• pp.149-161
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• 2019

In the present paper, we study curvature properties of ${\eta}$-Ricci solitons on para-Kenmotsu manifolds. We obtain some results of ${\eta}$-Ricci solitons on para-Kenmotsu manifolds satisfying $R({\xi},X).C=0$, $R({\xi},X).{\tilde{M}}=0$, $R({\xi},X).P=0$, $R({\xi},X).{\tilde{C}}=0$ and $R({\xi},X).H=0$, where $C,\;{\tilde{M}},\;P,\;{\tilde{C}}$ and H are a quasi-conformal curvature tensor, a M-projective curvature tensor, a pseudo-projective curvature tensor, and a concircular curvature tensor and conharmonic curvature tensor, respectively.

• 대한수학회지
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• 제45권6호
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• pp.1635-1646
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• 2008

Schanuel's formula describes the distribution of rational points on projective space. In this paper we will extend it to algebraic points of bounded degree in the case of ${\mathbb{P}}^1$. The estimate formula will also give an explicit error term which is quite small relative to the leading term. It will also lead to a quasi-asymptotic formula for the number of points of bounded degree on ${\mathbb{P}}^1$ according as the height bound goes to $\infty$.

• 대한수학회지
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• 제56권4호
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• pp.1113-1129
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• 2019

We define a class of semi-symmetric metric connection on a Riemannian manifold for which the conformal, the projective, the concircular, the quasi conformal and the m-projective curvature tensors are invariant. We also study the properties of semisymmetric, Ricci semisymmetric and Eisenhart problems for solving second order parallel symmetric and skew-symmetric tensors on the Riemannian manifolds equipped with a semi-symmetric metric P-connection.

• 충청수학회지
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• 제24권1호
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• pp.131-135
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• 2011

It is shown that generalized GCD domains satisfy a certain property of injectivity and conversely this property characterizes generalized GCD domains.

• Kyungpook Mathematical Journal
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• 제48권1호
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• pp.143-154
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• 2008

Lomp [9] has studied finitely generated projective modules over semilocal rings. He obtained the following: finitely generated projective modules over semilocal rings are semilocal. We shall give necessary and sufficient conditions for finitely generated modules to be semilocal modules. By using a lifting property, we also give characterizations of right perfect (semiperfect) rings. Our main results can be summarized as follows: (1) Let M be a finitely generated module. Then M has finite hollow dimension if and only if M is weakly supplemented if and only if M is semilocal. (2) A ring R is right perfect if and only if every flat right R-module is lifting and every right R-module has a flat cover if and only if every quasi-projective right R-module is lifting. (3) A ring R is semiperfect if and only if every finitely generated flat right R-module is lifting if and only if RR satisfies the lifting property for simple factor modules.

• Kyungpook Mathematical Journal
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• 제57권3호
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• pp.401-417
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• 2017

Ever since their introduction, skew PBW ($Poincar{\acute{e}}$-Birkhoff-Witt) extensions of rings have kept growing in importance, as researchers characterized their properties (such as primeness, Krull and Goldie dimension, homological properties, etc.) in terms of intrinsic properties of the base ring, and studied their relations with other fields of mathematics, as for example quantum mechanics theory. Many rings and algebras arising in quantum mechanics can be interpreted as skew PBW extensions. Our aim in this paper is to study skew PBW extensions of Baer, quasi-Baer, principally projective and principally quasi-Baer rings, in the case when the base ring R is not assumed to be reduced. We just impose some mild compatibleness over the base ring R, and prove that these properties are stable over this kind of extensions.

• 대한전자공학회논문지SP
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• 제42권5호
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• pp.63-72
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• 2005

본 논문에서 삼각대 위에 고정시킨 카메라를 회전시켜 취득한 비디오 시퀀스로부터 파노라마 영상을 구성하는 새로운 방법을 제안한다. 제안한 방법은 비디오 시퀀스 중에서 실제로 사용할 프레임을 자동으로 선택하는 단계와 파노라마 영상을 구성하는 모자이킹 단계로 나누어진다. 파노라마 영상을 구성하는데 필요한 프레임은 연속된 프레임 간의 중첩 비율 정보를 이용한 보간 검색을 통해 선택된다 이 방법은 카메라의 속도에 상관없이 적절한 프레임을 고속으로 검색할 수 있다. 모자이킹 단계에서는 4쌍의 특징점을 사용하는 사영 변환식(projective transform)을 이용한다. 기존의 연구에서는 특징점을 화소 기반의 정보만을 이용하여 추출하였지만, 본 논문에서 제안한 방법은 특징점의 위치까지 고려하여 사영 변환식의 정확도를 높였다. 제안한 방법은 다양한 영상 시퀀스에 적용하여 실험하였고, 그 결과 모든 영상에 대해서 좋은 화질의 파노라마 영상을 생성하였다.

• 대한수학회논문집
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• 제29권2호
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• pp.331-343
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• 2014

The object of the present paper is to study a semi-symmetric metric connection in an (${\varepsilon}$)-Kenmotsu manifold. In this paper, we study a semi-symmetric metric connection in an (${\varepsilon}$)-Kenmotsu manifold whose projective curvature tensor satisfies certain curvature conditions.