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- W1616803581 abstract "This paper deals with Bouvier's conjecture which sustains that finite-dimensional non-Noetherian Krull domains need not be Jaf- fard. All rings and algebras considered in this paper are commutative with identity element and, unless otherwise specified, are assum ed to be non- zero. All ring homomorphisms are unital. If k is a field and A a domain which is a k-algebra, we use qf(A) to denote the quotient field of A and t. d.(A) to denote the transcendence degree of qf(A) over k. Finally, recall that an affine domain over a ring A is a finitely generated A-algebra that is a domain (28, p. 127). Any unreferenced material is standard as in (17, 23, 25). A finite-dimensional integral domain R is said to be Jaffard if" @default.
- W1616803581 created "2016-06-24" @default.
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- W1616803581 date "2008-11-28" @default.
- W1616803581 modified "2023-09-27" @default.
- W1616803581 title "BOUVIER'S CONJECTURE" @default.
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