Closed classes of polynomials modulo p2-Reference-Cited by-同舟云学术

登录注册会员服务联系我们

Closed classes of polynomials modulo p2

Published:2018-06-26 Issue:3 Volume:28 Page:167-178
ISSN:0924-9265
Container-title:Discrete Mathematics and Applications
language:
Short-container-title:

Author:

Meshchaninov Dmitry G.

Abstract

Abstract We consider functions of p2-valued logic (p is prime) that may be implemented by polynomials over the ring ℤp2, and describe all closed classes that contain linear functions. It turns out that the set of these classes is countable. We also construct the lattice of such classes with respect to inclusion.

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,Discrete Mathematics and Combinatorics

Link

https://www.degruyter.com/document/doi/10.1515/dma-2018-0016/pdf

Reference94 articles.

1. “On the number of closed subsets of linear functions in 6-valued logic”;Beiträge zur Alg. und Geom.,1990

2. “On closed sets of linear operations over a finite sets of square-free cardinality”;Elektr. Inform. Kybern.,1978

3. “Superstructure of the closed class of polynomials modulo k”;Discrete Math. Appl.,1991

Cited by 2 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Some families of closed classes in P_k defined by additive formulas;Discrete Mathematics and Applications;2022-04-01

2. A Family of Closed Classes in k-Valued Logic;Moscow University Computational Mathematics and Cybernetics;2019-01

同舟云学术

1.学者识别学者识别

2.学术分析学术分析

3.人才评估人才评估

"同舟云学术"是以全球学者为主线，采集、加工和组织学术论文而形成的新型学术文献查询和分析系统，可以对全球学者进行文献检索和人才价值评估。用户可以通过关注某些学科领域的顶尖人物而持续追踪该领域的学科进展和研究前沿。经过近期的数据扩容，当前同舟云学术共收录了国内外主流学术期刊6万余种，收集的期刊论文及会议论文总量共计约1.5亿篇，并以每天添加12000余篇中外论文的速度递增。我们也可以为用户提供个性化、定制化的学者数据。欢迎来电咨询！咨询电话：010-8811{复制后删除}0370

www.globalauthorid.com

TOP