• 대한수학회보
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• 제33권2호
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• pp.303-310
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• 1996

The Gottlieb group of a compact connected ANR X, G(X), consists of all $\alpha \in \prod_{1}(X)$ such that there is an associated map $A : S^1 \times X \to X$ and a homotopy commutative diagram $$ S^1 \times X \longrightarrow^A X $$ $$incl \uparrow \nearrow \alpha \vee id $$ $$ S^1 \vee X $$.

• 대한수학회지
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• 제31권4호
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• pp.609-618
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• 1994

F. Rhodes [2] introduced the fundamental group $\sigma(X, x_0, G)$ of a transformation group (X,G) as a generalization of the fundamental group $\pi_1(X, x_0)$ of a topological space X and showed a sufficient condition for $\sigma(X, x_0, G)$ to be isomorphic to $\pi_1(X, x_0) \times G$, that is, if (G,G) admits a family of preferred paths at e, $\sigma(X, x_0, G)$ is isomorphic to $\pi_1(X, x_0) \times G$. B.J.Jiang [1] introduced the Jiang subgroup $J(f, x_0)$ of the fundamental group of X which depends on f and showed a condition to be $J(f, x_0)$ = Z(f_\pi(\pi_1(X, x_0)), \pi_1(X, f(x_0)))$.

• 대한소아치과학회지
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• 제39권3호
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• pp.257-266
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• 2012

인공 우식 용액으로 72개의 건전한 치아에 백색 병소를 형성을 유도하고 $CavityShield^{TM}$(Group I), $FluroDose^{TM}$(Group II) 그리고 $Flor-Opal^{(R)}$ Varnish(Group III)를 2주 간격으로 1, 2, 3회 도포하였다. 마지막 불소 바니쉬 도포 2주 후 QLF-D 영상을 촬영하여 광도 변화량(${\Delta}L$)을 측정하였고, 편광 현미경으로 법랑질 탈회 깊이 변화량(${\Delta}D$)을 측정하여 통계적으로 비교하였다. 1. Group I, II, III에서 QLF-D로 관찰한 결과, 1회 도포군보다 2주 간격으로 2, 3회 도포군에서 유의하게 ${\Delta}L$ 값이 증가하였고, 각 불소 바니쉬에서 도포 횟수에 따라 회귀 분석 결과, y = 3.878x + 90.612, y = 3.133x + 37.168, y = 3.509x + 82.322의 회귀 방정식이 산출되었다(p < 0.05). 2. Group I, II, III에서 편광 현미경으로 관찰한 결과, 1회 도포군보다 2주 간격으로 2, 3회 도포군에서 유의하게 ${\Delta}D$ 값이 감소하였고, 각 불소 바니쉬에서 도포 횟수에 따라 회귀 분석 결과, y = -2.336x + 107.235, y = -2.158x + 101.620, y = -1.940x + 94.806의 회귀 방정식이 산출되었다(p < 0.05). 3. 불소 바니쉬 적용하고 편광 현미경으로 관찰한 인공 우식의 깊이 변화량과 QLF-D로 관찰한 광도 변화량 사이의 피어슨 상관 계수는 Group I에서 -0.673, Group II에서 -0.574, 그리고 Group III에서 -0.431이었다(p < 0.05).

• 대한수학회보
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• 제27권2호
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• pp.113-120
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• 1990

In this paper we introduce S(X, $x_{0}$) which is a generalization of Ellis group G(X, $x_{0}$), and S-sets in S(X, $x_{0}$). In particular we cind the sufficient condition for the group A(I) of all automorphisms of I and K=Iu to be isomorphic, where I is a minimal right ideal and u is an idempotent of I.f I.

• 대한수학회보
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• 제42권4호
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• pp.807-815
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• 2005

Let R be a ring with identity, X the set of all nonzero, nonunits of Rand G the group of all units of R. We will consider two group actions on X by G, the regular action and the conjugate action. In this paper, by investigating two group actions we can have some results as follows: First, if G is a finitely generated abelian group, then the orbit O(x) under the regular action on X by G is finite for all nilpotents x $\in$ X. Secondly, if F is a field in which 2 is a unit and F $\backslash\;\{0\}$ is a finitley generated abelian group, then F is finite. Finally, if G in a unit-regular ring R is a torsion group and 2 is a unit in R, then the conjugate action on X by G is trivial if and only if G is abelian if and only if R is commutative.

• 대한수학회지
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• 제43권5호
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• pp.1047-1063
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• 2006

Let $\varepsilon_#(X)$ be the subgroups of $\varepsilon(X)$ consisting of homotopy classes of self-homotopy equivalences that fix homotopy groups through the dimension of X and $\varepsilon_*(X) $ be the subgroup of $\varepsilon(X)$ that fix homology groups for all dimension. In this paper, we establish some connections between the homotopy group of X and the subgroup $\varepsilon_#(X)\cap\varepsilon_*(X)\;of\;\varepsilon(X)$. We also give some relations between $\pi_n(W)$, as well as a generalized Gottlieb group $G_n^f(W,X)$, and a subset $M_{#N}^f(X,W)$ of [X, W]. Finally we establish a connection between the coGottlieb group of X and the subgroup of $\varepsilon(X)$ consisting of homotopy classes of self-homotopy equivalences that fix cohomology groups.

• Journal of applied mathematics & informatics
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• 제18권1_2호
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• pp.657-663
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• 2005

In this paper, we consider groups of permutations S on a set A acting on subsets X of A. In particular, we show that if $X_2{\subseteq}X_1{\subseteq}A$ and Y is an S-normal extension of $X_2 in X_1$, then the Galois group $G_{S}(X_1/Y){\;}of{\;}X_1{\;}over{\;}X_2$ relative to S is an S-closed subgroup of $G_{S}(X_1/X_2)$ in the setting of a Galois theory (correspondence) for this situation.

• 대한수학회보
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• 제38권1호
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• pp.143-148
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• 2001

First, we show the finiteness property of the homotopy fixed point set of p-discrete toral group. Let $G_\infty$ be a p-discrete toral group and X be a finite complex with an action of $G_\infty such that X^K$ is nilpotent for each finit p-subgroup K of $G_\infty$. Assume X is $F_\rho-complete$. Then X(sup)hG$\infty$ is F(sub)p-finite. Using this result, we give the condition so that X$^{hG}$ is $F_\rho-finite for \rho-compact$ toral group G.

• Applied Biological Chemistry
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• 제36권5호
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• pp.381-386
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• 1993

새로운 25종의 Imazethapyr 유도체, (2-(4-isopropyl-4-methyl-5-oxo-2-imidazolin-2-yl)-3-(N-methyl-N-(X)치환-phenylaminooxoacetyl)-5-methylpyridine)들을 합성하여 치환기(X) 변화에 따른 발아 전 후, 피(Echinochla crus-galli.)의 제초활성에 미치는 3-(N-mothy-N-(X)치환-phenylaminoozoacetyl) group의 영향을 검토한 바, 발아 전보다 발아 후의 제초활성에 더 큰 영향을 미침을 알 수 있었다. 발아 후의 제초활성은 X-치환기의 전자밀게 효과와 입체상수 $(E_s)$에 의존적이었으며 가장 큰 제초활성을 나타내는 화합물로는 $bulky(E_s<0)$하고 전자밀게$(\sigma<0)$가 치환된 화합물, 15(4-t-butyl group)와 20(3,5-dimethyl group)이었다. 그리고 높은 제초활성을 나타낼 것으로 예상되는 화합물의 조건들이 검토되었다.

• 대한수학회보
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• 제52권4호
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• pp.1353-1363
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• 2015

Let D be a division ring and w($x_1,\;x_2,\;{\ldots},\;x_m$) be a generalized group monomial over $D^*$. In this paper, we investigate subnormal subgroups and maximal subgroups of $D^*$ which satisfy the identity $w(x_1,\;x_2,\;{\ldots},\;x_m)=1$.