Persistence of cyclic left distributive algebras
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- 作者：Drá ; pal ; Ale&scaron
- 关键词：20N02 ; 08A05
- 刊名：Journal of Pure and Applied Algebra
- 出版年：1995
- 出版时间：December 8, 1995
- 年：1995
- 卷：105
- 期：2
- 页码：137-165
- 全文大小：1.27 M
文摘
Let Ak = Ak(* denote the left distributive groupoid on {0, 1, …, 2k − 1} such thata * 1 
a + 1 mod 2k for every a 
Ak. Let d ≥ 0 and put r = max {i; 2i divides d}. Fora = Σ ai2i Ak, ai {0, 1}, put vd(a) = Σ aivd(2i) andvd (2i) = 2(i + 1)2d − 2i2d. Thenvd :Ak → Ak2d is a groupoid homomorphism iff k ≤ 22r + 1.
a + 1 mod 2k for every a Ak. Let d ≥ 0 and put r = max {i; 2i divides d}. Fora = Σ ai2i Ak, ai {0, 1}, put vd(a) = Σ aivd(2i) andvd (2i) = 2(i + 1)2d − 2i2d. Thenvd :Ak → Ak2d is a groupoid homomorphism iff k ≤ 22r + 1.