• Korean Journal of Mathematics
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• v.5 no.2
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• pp.169-176
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• 1997

The purpose of this note is to compare two known results related to the lifting problem of an action of a topological group G on a G-space X to a coverring space of X.

• Bulletin of the Korean Mathematical Society
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• v.45 no.4
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• pp.607-614
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• 2008

We present coincidence points and common fixed point results for (f, g)-contractive mapping and (f, g)-nonexpansive mappings. Our results generalize and complement various known results existing in the literature.

• Journal of the Chungcheong Mathematical Society
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• v.28 no.1
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• pp.127-138
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• 2015

In this paper, we introduce the notion of f-derivation in a BE-algebra, and consider the properties of f-derivations. Also, we characterize the fixed set $Fix_d(X)$ and Kerd by f-derivations. Moreover, we prove that if d is a f-derivation of a BE-algebra, every f-filter F is a a d-invariant.

• Journal of the Korean Mathematical Society
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• v.52 no.5
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• pp.929-944
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• 2015

We give a quotient of the ring ${\mathbb{Q}}[A^{{\pm}1},\;t^{{\pm}1]$ so that the Miyazawa polynomial is a non-trivial invariant of welded links. Furthermore we show that this is also an invariant under the other forbidden move $F_u$, and so it is a fused isotopy invariant. Also, we give some quotient ring so that the index polynomial can be an invariant for welded links.

• Bulletin of the Korean Mathematical Society
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• v.40 no.2
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• pp.327-340
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• 2003

We are devoted to dealing with the conformal theory of a Rizza manifold with a generalized Finsler metric $G_{ij}$ (x,y) and a new conformal invariant non-linear connection $M^{i}$ $_{j}$ (x,y) constructed from the generalized Cern's non-linear connection $N^{i}$ $_{j}$ (x,y) and almost complex structure $f^{i}$ $_{j}$ (x). First, we find a conformal invariant connection ( $M_{j}$ $^{i}$ $_{k}$ , $M^{i}$ $_{j}$ , $C_{j}$ $^{i}$ $_{k}$ ) and conformal invariant tensors. Next, the nearly Kaehlerian (G, M)-structures under conformal change in a Rizza manifold are investigate.

• Journal of the Korean Mathematical Society
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• v.14 no.2
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• pp.241-261
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• 1978

• Journal of the Korean Mathematical Society
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• v.9 no.2
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• pp.49-57
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• 1972

• Journal of the Chungcheong Mathematical Society
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• v.23 no.1
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• pp.65-71
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• 2010

Let $\Lambda$ be a transitive set for f. In this paper, we show that if a f-invariant set $\Lambda$ has the $C^{1}$-stably shadowing property, then $\Lambda$ admits a dominated splitting.

• Journal of the Korean Mathematical Society
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• v.32 no.1
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• pp.85-92
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• 1995

Supppose ${X_n}$ is a Markov process taking values in some arbitrary state space $(S, F)$ with temporarily homogeneous transition probabilities $p^n(x, A) = P(X_n \in $A\mid$X_0 = x), x \in S, A \in F$. Write $p(x, A) for p^1(x, A)$.

• Bulletin of the Korean Mathematical Society
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• v.37 no.4
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• pp.779-790
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• 2000

Let $D_3$ be the Dickson invariant algebra of $F_2[X_1,\; X_2,\; X_3] \; by \; GL(3,\; F_2)$. In this paper, we provide an elementary proof of Theorem 3.2 of [2]; each element in $D_3$ is hit by the Steenrod square in $F_2[X_1,\; X_2,\; X_3]$.