$ \ mathcal {T} -semiring对美元

IF 0.9 4区计算机科学 Q4 COMPUTER SCIENCE, CYBERNETICS

Kybernetika Pub Date : 2022-03-02 DOI:10.14736/kyb-2022-5-0733

Jaiung Jun, Kalina Mincheva, L. Rowen

引用次数: 0

摘要

我们发展了代数对的一般公理化理论，它同时推广了几种代数结构，以便尽可能地绕过否定。我们研究了几个经典的定理和概念，包括分数，积分扩展，和希尔伯特的零定理。最后，我们在此背景下研究了增长的概念。

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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$\mathcal{T}$-semiring pairs

We develop a general axiomatic theory of algebraic pairs, which simultaneously generalizes several algebraic structures, in order to bypass negation as much as feasible. We investigate several classical theorems and notions in this setting including fractions, integral extensions, and Hilbert's Nullstellensatz. Finally, we study a notion of growth in this context.

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来源期刊

Kybernetika 工程技术-计算机：控制论

CiteScore

1.30

自引率

20.00%

发文量

审稿时长

6 months

期刊介绍： Kybernetika is the bi-monthly international journal dedicated for rapid publication of high-quality, peer-reviewed research articles in fields covered by its title. The journal is published by Nakladatelství Academia, Centre of Administration and Operations of the Czech Academy of Sciences for the Institute of Information Theory and Automation of The Czech Academy of Sciences. Kybernetika traditionally publishes research results in the fields of Control Sciences, Information Sciences, Statistical Decision Making, Applied Probability Theory, Random Processes, Operations Research, Fuzziness and Uncertainty Theories, as well as in the topics closely related to the above fields.