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Information Journal Paper

Title

INTERNAL TOPOLOGY ON MI-GROUPS

Pages

  55-78

Abstract

 An MI-group is an algebraic structure based on a generalization of the con-cept of a Monoid that satis es the cancellation laws and is endowed with an invertible anti-automorphism representing inversion. In this paper, a topology is de ned on an MI-group G under which G is a topological MI-group. Then we will identify open, discrete and compact MI-subgroups. The connected components of the elements of G and connected MI-groups are also identi ed. Some features of the maximal MI-subgroups and ideals of a topological MI-group are investigated as well. Finally, some theorems about automatic continuity will be introduced.

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