SOME PROPERTIES ON THE CHARACTERISTIC RING-MODULES

  • PARK CHIN HONG (Department of Mathematics, Sunmoon University) ;
  • LIM JONG SEUL (Division of Electronics Information Communications Engineering, Sunmoon University)
  • Published : 2005.01.01

Abstract

In this paper we shall give some group properties derived from the characteristic ring-module $_X(M)$, using the fact that $_X(M)_H$ is a conjugate to $_X(M)_{Ha}$ when M is an invertible right R-module. Also we shall prove that_X(M)$ is group-isomorphic to TR and some normal subgroup properties if M is invertible and R is commutative.

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