Abstract
In this paper, we describe the maximal bounded 2-filtrations of Artinian semisimple rings. These turn out. to be the filtrations associated to finite Z-gradings. We a.lso consider simple Artinian rings with involution, in characteristic ¬= 2, and we determine those bounded Z-filtrations that are maximal subject to being stable under the action of the involution. Finally, we briefly discuss the analogous questions for filtrations with respect. to other Archimedean ordered groups.
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