Krull Dimension of Generalized Weyl Algebras with Noncommutative Coefficients
نویسندگان
چکیده
منابع مشابه
The Noncommutative Schemes of Generalized Weyl Algebras
The first Weyl algebra over k, A1 = k〈x, y〉/(xy− yx− 1) admits a natural Z-grading by letting deg x = 1 and deg y = −1. Paul Smith showed that gr -A1 is equivalent to the category of quasicoherent sheaves on a certain quotient stack. Using autoequivalences of gr -A1, Smith constructed a commutative ring C, graded by finite subsets of the integers. He then showed gr -A1 ≡ gr -(C,Zfin). In this p...
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ژورنال
عنوان ژورنال: Journal of Algebra
سال: 2001
ISSN: 0021-8693
DOI: 10.1006/jabr.2000.8466