Algebraically Equivalent Clones
- 作者: Pinus A.G.1
-
隶属关系:
- Novosibirsk State Technical University
- 期: 卷 55, 编号 6 (2017)
- 页面: 501-506
- 栏目: Article
- URL: https://journals.rcsi.science/0002-5232/article/view/234015
- DOI: https://doi.org/10.1007/s10469-017-9420-2
- ID: 234015
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详细
Two functional clones F and G on a set A are said to be algebraically equivalent if sets of solutions for F- and G-equations coincide on A. It is proved that pairwise algebraically nonequivalent existentially additive clones on finite sets A are finite in number. We come up with results on the structure of algebraic equivalence classes, including an equationally additive clone, in the lattices of all clones on finite sets.
作者简介
A. Pinus
Novosibirsk State Technical University
编辑信件的主要联系方式.
Email: ag.pinus@gmail.com
俄罗斯联邦, pr. Marksa 20, Novosibirsk, 630092
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