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JP Journal of Algebra, Number Theory and Applications

JP Journal of Algebra, Number Theory and Applications
Volume 39, Issue 6, Pages 907 - 919 (December 2017)
http://dx.doi.org/10.17654/NT039060907

HILBERT ARENS ALGEBRA-MODULES AND SEMIGROUP

Jicheng Tao and Ying Ai

Abstract:

In this paper, we consider the semigroup of Hilbert Arens algebra-modules by using the semigroup theory and Hilbert Arens algebra-modules from [4]. We show when A is a finite dimensional Arens algebra and H is a Hilbert A-module, the semigroup is an m-continuous semigroup if and only if it is an Hâ€‘continuous semigroup if and only if it is a j-continuous semigroup.