• Korean Journal of Mathematics
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• v.20 no.2
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• pp.177-184
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• 2012

In this paper, we study the four different types of relations, $\mathcal{P}(X,T)$, $\mathcal{R}(X,T)$, $\mathcal{L}(X,T)$, and $\mathcal{S}(X,T)$ in a transformation (X,T), and obtain some of their properties. In particular, we give a relationship between $\mathcal{R}(X,T)$ and $\mathcal{S}(X,T)$.

• Journal of the Chungcheong Mathematical Society
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• v.19 no.4
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• pp.365-373
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• 2006

In this paper four regular relations, R, $L^*$, $M^*$ and $Q^*$ in a transformation group (X, T) are defined and some of their properties are studied.

• Journal of the Chungcheong Mathematical Society
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• v.5 no.1
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• pp.185-193
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• 1992

In this paper we shall study the properties of regular relations. We also define syndetically regular relations as the generalizations of syndetical proximalities.