| Title | Crossed Product-Like and Pre-Crystalline Graded Rings |
| Authors | Johan Öinert, Sergei Silvestrov |
| Full-text | Available as PDF, Restricted Access |
| Alternative Location | http://www.springerlink.com/, Restricted Access |
| Alternative Location | http://dx.doi.org/10.1007/9..., Restricted Access |
| Publication | Generalized Lie Theory in Mathematics, Physics and Beyond |
| Year | 2009 |
| Pages | 281 - 296 |
| Document type | Book chapter |
| Status | Published |
| Language | eng |
| Publisher | Springer |
| Abstract English | We introduce crossed product-like rings, as a natural generalization of<br> crystalline graded rings, and describe their basic properties. Furthermore, we prove that for certain pre-crystalline graded rings and every crystalline graded ring A, for which the base subring A_0 is commutative, each non-zero two-sided ideal has a nonzero intersection with C_A(A_0), i.e. the commutant of A_0 in A. We also show that in general this property need not hold for crossed product-like rings. |
| ISBN/ISSN/Other | ISBN: 978-3-540-85331-2 |
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