Commutativity and Ideals in Pre-crystalline Graded Rings
Öinert, Johan; Silvestrov, Sergei (2009). Commutativity and Ideals in Pre-crystalline Graded Rings. Acta Applicandae Mathematicae, 108, (3), 603 - 615
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Published
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English
Authors:
Öinert, Johan
;
Silvestrov, Sergei
Department:
Mathematics (Faculty of Engineering)
Non-commutative Geometry-lup-obsolete
Research Group:
Non-commutative Geometry-lup-obsolete
Abstract:
Pre-crystalline graded rings constitute a class of rings which share many properties with classical crossed products. Given a pre-crystalline graded ring A, we describe its center, the commutant C-A(A(0)) of the degree zero grading part, and investigate the connection between maximal commutativity of A(0) in A and the way in which two-sided ideals intersect A(0).
Keywords:
Crossed products ;
Graded rings ;
Ideals ;
subrings ;
Commutative ;
Skew group rings
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