JP Journal of Algebra, Number Theory and Applications
Volume 39, Issue 6, Pages 907 - 919
(December 2017) http://dx.doi.org/10.17654/NT039060907 |
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HILBERT ARENS ALGEBRA-MODULES AND SEMIGROUP
Jicheng Tao and Ying Ai
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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 H‑continuous semigroup if and only if it is a j-continuous semigroup. |
Keywords and phrases: semigroup, Arens algebra, Hilbert Arens algebra-modules. |
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