A Monotone Infinitary Operation on Ordinals

IF 0.4 4区数学 Q4 LOGIC

Mathematical Logic Quarterly Pub Date : 2026-03-24 DOI:10.1002/malq.70019

Paolo Lipparini

引用次数: 0

Abstract

We introduce an $ω$ -ary operation on the class of the ordinals, which is strictly monotone in all significant cases. We provide order-theoretical characterizations as the rank of a sequence in a well-founded order and as a mixed sum of the ordinals in the sequence.

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序数上的单调无穷运算

我们在序数类上引入一个ω $ \ ω $ -ary运算，它在所有有效情况下都是严格单调的。我们提供了有序理论的特征，作为一个序列的秩在一个良好的秩序，并作为一个混合和序数的序列。

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

Mathematical Logic Quarterly 数学-数学

CiteScore

0.60

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： Mathematical Logic Quarterly publishes original contributions on mathematical logic and foundations of mathematics and related areas, such as general logic, model theory, recursion theory, set theory, proof theory and constructive mathematics, algebraic logic, nonstandard models, and logical aspects of theoretical computer science.