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- Öinert, Johan, et al.
(author)
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Crossed product-like and pre-crystalline graded rings
- 2009
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In: Generalized Lie theory in mathematics, physics and beyond. - Berlin, Heidelberg : Springer Berlin/Heidelberg. - 9783540853312 - 9783540853329 ; , s. 281-296
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Book chapter (peer-reviewed)abstract
- We introduce crossed product-like rings, as a natural generalization of 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 A0 is commutative, each non-zero two-sided ideal has a nonzero intersection with CA(A0), i.e. the commutant of A0 in A. We also show that in general this property need not hold for crossed product-like rings.
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