{"title":"Spectra for Generative Classes","authors":"S. V. Sudoplatov","doi":"10.1134/s1055134421010065","DOIUrl":null,"url":null,"abstract":"<h3 data-test=\"abstract-sub-heading\">Abstract</h3><p> We study links between generative classes and their generative restrictions with respect to\nsemantic and syntactic properties of corresponding generic structures. Generations and specificity\nof generative classes are investigated. Spectra for generative classes with respect to generic\nstructures for subclasses and their theories are introduced. Values for these spectra are described\nfor generative classes with complete diagrams and in general cases for finitely, countably and\nuncountably generated generative classes.\n</p>","PeriodicalId":39997,"journal":{"name":"Siberian Advances in Mathematics","volume":"57 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2021-04-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Siberian Advances in Mathematics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1134/s1055134421010065","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
We study links between generative classes and their generative restrictions with respect to
semantic and syntactic properties of corresponding generic structures. Generations and specificity
of generative classes are investigated. Spectra for generative classes with respect to generic
structures for subclasses and their theories are introduced. Values for these spectra are described
for generative classes with complete diagrams and in general cases for finitely, countably and
uncountably generated generative classes.
期刊介绍：
Siberian Advances in Mathematics is a journal that publishes articles on fundamental and applied mathematics. It covers a broad spectrum of subjects: algebra and logic, real and complex analysis, functional analysis, differential equations, mathematical physics, geometry and topology, probability and mathematical statistics, mathematical cybernetics, mathematical economics, mathematical problems of geophysics and tomography, numerical methods, and optimization theory.
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