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Commutativity and Ideals in Pre-crystalline Graded Rings

Commutativity and Ideals in Pre-crystalline Graded Rings 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 $\mathcal{A}_{0}$ . http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Acta Applicandae Mathematicae Springer Journals

Commutativity and Ideals in Pre-crystalline Graded Rings

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References (35)

Publisher
Springer Journals
Copyright
Copyright © 2009 by Springer Science+Business Media B.V.
Subject
Mathematics; Mechanics; Statistical Physics, Dynamical Systems and Complexity; Theoretical, Mathematical and Computational Physics; Computer Science, general; Mathematics, general
ISSN
0167-8019
eISSN
1572-9036
DOI
10.1007/s10440-009-9434-4
Publisher site
See Article on Publisher Site

Abstract

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 $\mathcal{A}_{0}$ .

Journal

Acta Applicandae MathematicaeSpringer Journals

Published: Feb 10, 2009

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