Spectra for Generative Classes

Siberian Advances in Mathematics Pub Date : 2021-04-03 DOI:10.1134/s1055134421010065

S. V. Sudoplatov

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.

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生成类的谱

摘要本文研究了生成类和它们的生成约束之间的联系，以及相应泛型结构的语义和句法特性。研究了生成类的代和特性。介绍了子类泛型结构的生成类谱及其理论。对于具有完全图的生成类，以及一般情况下对于有限、可数和不可数生成类，描述了这些谱的值。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Siberian Advances in Mathematics Mathematics-Mathematics (all)

CiteScore

0.70

自引率

0.00%

发文量

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.