局部线性紧向量空间和域扩展的拓扑熵

Q3 Mathematics

Topological Algebra and its Applications Pub Date : 2018-09-06 DOI:10.1515/taa-2020-0005

I. Castellano

{"title":"局部线性紧向量空间和域扩展的拓扑熵","authors":"I. Castellano","doi":"10.1515/taa-2020-0005","DOIUrl":null,"url":null,"abstract":"Abstract Let 𝕂 be a discrete field and (V, ϕ) a pair consisting of a locally linearly compact 𝕂-space V and a continuous endomorphism ϕ: V → V. We provide the formulae to compute the topological entropy ent* of the flow (V, ϕ) subject to either extension or restriction of scalars.","PeriodicalId":30611,"journal":{"name":"Topological Algebra and its Applications","volume":"8 1","pages":"58 - 66"},"PeriodicalIF":0.0000,"publicationDate":"2018-09-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1515/taa-2020-0005","citationCount":"5","resultStr":"{\"title\":\"Topological entropy for locally linearly compact vector spaces and field extensions\",\"authors\":\"I. Castellano\",\"doi\":\"10.1515/taa-2020-0005\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Abstract Let 𝕂 be a discrete field and (V, ϕ) a pair consisting of a locally linearly compact 𝕂-space V and a continuous endomorphism ϕ: V → V. We provide the formulae to compute the topological entropy ent* of the flow (V, ϕ) subject to either extension or restriction of scalars.\",\"PeriodicalId\":30611,\"journal\":{\"name\":\"Topological Algebra and its Applications\",\"volume\":\"8 1\",\"pages\":\"58 - 66\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2018-09-06\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://sci-hub-pdf.com/10.1515/taa-2020-0005\",\"citationCount\":\"5\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Topological Algebra and its Applications\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1515/taa-2020-0005\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"Mathematics\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Topological Algebra and its Applications","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1515/taa-2020-0005","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"Mathematics","Score":null,"Total":0}

引用次数: 5

摘要

摘要设𝕂为离散场，(V， φ)为由局部线性紧致𝕂-space V和连续自同态φ: V→V组成的对，我们提供了计算受标量扩展或限制的流(V， φ)的拓扑熵ent*的公式。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

Topological entropy for locally linearly compact vector spaces and field extensions

Abstract Let 𝕂 be a discrete field and (V, ϕ) a pair consisting of a locally linearly compact 𝕂-space V and a continuous endomorphism ϕ: V → V. We provide the formulae to compute the topological entropy ent* of the flow (V, ϕ) subject to either extension or restriction of scalars.

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

Topological Algebra and its Applications Mathematics-Algebra and Number Theory

CiteScore

1.20

自引率

0.00%

发文量

审稿时长

24 weeks