【摘 要】
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Let k be an uncountable field. We show that for any finitely generated k-algebra A and integers n, d such that 1 ≤ n ≤ d+ 1 ≤ dimA+ 1, there exists a localiz
【机 构】
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Department of Mathematics, St. Petersburg State University 198904 Petrodvorets, Russia“,”Department
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Let k be an uncountable field. We show that for any finitely generated k-algebra A and integers n, d such that 1 ≤ n ≤ d+ 1 ≤ dimA+ 1, there exists a localization R = S-1A such that dim R = dim A, dim Max(R) = d, and sr(R) = n.Also, we prove that if A is a local domain of geometric origin with dimA ≥ 3,then there is 0 ≠π∈ A such that sr(Aπ) ≥ 2.
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