{"title":"Limit Models of Ehrenfeucht Theories","authors":"E. I. Khlestova","doi":"10.1007/s10469-026-09823-7","DOIUrl":null,"url":null,"abstract":"<p>Invariant properties of limit models of Ehrenfeucht theories are studied. Partial answers are obtained to the Ash–Millar question on the arithmetical decidability of models of Ehrenfeucht theories with arithmetical types.</p>","PeriodicalId":7422,"journal":{"name":"Algebra and Logic","volume":"64 3","pages":"171 - 181"},"PeriodicalIF":0.6000,"publicationDate":"2026-03-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Algebra and Logic","FirstCategoryId":"100","ListUrlMain":"https://link.springer.com/article/10.1007/s10469-026-09823-7","RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"LOGIC","Score":null,"Total":0}
引用次数: 0
Abstract
Invariant properties of limit models of Ehrenfeucht theories are studied. Partial answers are obtained to the Ash–Millar question on the arithmetical decidability of models of Ehrenfeucht theories with arithmetical types.
期刊介绍:
This bimonthly journal publishes results of the latest research in the areas of modern general algebra and of logic considered primarily from an algebraic viewpoint. The algebraic papers, constituting the major part of the contents, are concerned with studies in such fields as ordered, almost torsion-free, nilpotent, and metabelian groups; isomorphism rings; Lie algebras; Frattini subgroups; and clusters of algebras. In the area of logic, the periodical covers such topics as hierarchical sets, logical automata, and recursive functions.
Algebra and Logic is a translation of ALGEBRA I LOGIKA, a publication of the Siberian Fund for Algebra and Logic and the Institute of Mathematics of the Siberian Branch of the Russian Academy of Sciences.
All articles are peer-reviewed.