具有后继整数的可定义性(约化)格

IF 0.8 3区数学 Q2 MATHEMATICS Izvestiya Mathematics Pub Date : 2021-01-01 DOI:10.1070/IM9107

Alexei L. Semenov, S. Soprunov

{"title":"具有后继整数的可定义性(约化)格","authors":"Alexei L. Semenov, S. Soprunov","doi":"10.1070/IM9107","DOIUrl":null,"url":null,"abstract":"In this paper the lattice of definability for integers with a successor (the relation ) is described. The lattice, whose elements are also knows as reducts, consists of three (naturally described) infinite series of relations. The proof uses a version of the Svenonius theorem for structures of special form.","PeriodicalId":54910,"journal":{"name":"Izvestiya Mathematics","volume":"85 1","pages":"1257 - 1269"},"PeriodicalIF":0.8000,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"Lattice of definability (of reducts) for integers with successor\",\"authors\":\"Alexei L. Semenov, S. Soprunov\",\"doi\":\"10.1070/IM9107\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper the lattice of definability for integers with a successor (the relation ) is described. The lattice, whose elements are also knows as reducts, consists of three (naturally described) infinite series of relations. The proof uses a version of the Svenonius theorem for structures of special form.\",\"PeriodicalId\":54910,\"journal\":{\"name\":\"Izvestiya Mathematics\",\"volume\":\"85 1\",\"pages\":\"1257 - 1269\"},\"PeriodicalIF\":0.8000,\"publicationDate\":\"2021-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Izvestiya Mathematics\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.1070/IM9107\",\"RegionNum\":3,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Izvestiya Mathematics","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1070/IM9107","RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS","Score":null,"Total":0}

引用次数: 1

摘要

本文描述了带后继整数(关系)的可定义格。格，其元素也被称为约化，由三个(自然描述的)无穷级数的关系组成。这个证明使用了Svenonius定理的一个版本来证明特殊形式的结构。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文

微信好友朋友圈 QQ好友复制链接

本刊更多论文

Lattice of definability (of reducts) for integers with successor

In this paper the lattice of definability for integers with a successor (the relation ) is described. The lattice, whose elements are also knows as reducts, consists of three (naturally described) infinite series of relations. The proof uses a version of the Svenonius theorem for structures of special form.

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

来源期刊

Izvestiya Mathematics 数学-数学

CiteScore

1.30

自引率

0.00%

发文量

审稿时长

6-12 weeks

期刊介绍： The Russian original is rigorously refereed in Russia and the translations are carefully scrutinised and edited by the London Mathematical Society. This publication covers all fields of mathematics, but special attention is given to: Algebra; Mathematical logic; Number theory; Mathematical analysis; Geometry; Topology; Differential equations.

期刊最新文献

A solution to the multidimensional additive homological equation "Far-field interaction" of concentrated masses in two-dimensional Neumann and Dirichlet problems The nonarithmeticity of the predicate logic of primitive recursive realizability Hardy type inequalities for one weight function and their applications Multivariate tile $\mathrm{B}$-splines