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Pre-crystalline graded rings constitute a class of rings which share many properties with classical crossed products. Given a pre-crystalline graded ring $\mathcal{A}$ , we describe its center, the commutant $C_{\mathcal{A}}(\mathcal{A}_{0})$ of the degree zero grading part, and investigate the connection between maximal commutativity of $\mathcal{A}_{0}$ in $\mathcal{A}$ and the way in which two-sided ideals intersect $\mathcal{A}_{0}$ .
Acta Applicandae Mathematicae – Springer Journals
Published: Feb 10, 2009
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