Affiliation:
1. School of Mathematics Liaoning University 110031, Shenyang CHINA
2. School of Mathematics Jilin University 130012, Changchun CHINA
Abstract
Abstract
Let (a, a + d, a + 2d) be an arithmetic progression of positive integers. The following statements are proved:
(1) If a | 2d, then (a, a + d, a + 2d) ∈ mdeg(Tame(ℂ3)).
(2) If a ∤ 2d and (a, a + d, a + 2d) ∉ {(4i, 5i, 6i), (4i, 7i, 10i) : i ∈ ℕ+}, then (a, a + d, a + 2d) ∉ mdeg(Tame(ℂ3)).