منابع مشابه
Rationality and the Fml Invariant
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We study the class of 2-dimensional affine k-domainsR satisfying ML(R) = k, where k is an arbitrary field of characteristic zero. In particular, we obtain the following result: Let R be a localization of a polynomial ring in finitely many variables over a field of characteristic zero. If ML(R) = K for some field K ⊂ R such that trdeg K R = 2, then R is K-isomorphic to K[X, Y, Z]/(XY − P (Z)) fo...
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Let A be a commutative ring and E a non-zero A-module. Necessary and sufficient conditions are given for the trivial ring extension R of A by E to be either arithmetical or Gaussian. The possibility for R to be Bézout is also studied, but a response is only given in the case where pSpec(A) (a quotient space of Spec(A)) is totally disconnected. Trivial ring extensions which are fqp-rings are cha...
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ژورنال
عنوان ژورنال: Transformation Groups
سال: 2019
ISSN: 1083-4362,1531-586X
DOI: 10.1007/s00031-019-09529-4