由任意自然数生成的对象。第3部分：标准模态拓扑方面

IF 0.4 Q4 MATHEMATICS

Notes on Number Theory and Discrete Mathematics Pub Date : 2023-03-01 DOI:10.7546/nntdm.2023.29.1.171-180

K. Atanassov

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引用次数: 0

摘要

在[3]中定义了由任意自然数$n$生成的集合$\underline｛set｝（n）$。在[4]中，在$\dunderline｛SET｝（n）$的元素上定义了一些模态类型的算术函数和算术运算符。本文定义了拓扑类型的$\underline{SET}（n）$算术算子的元素，并研究了它们的一些基本性质。讨论了未来研究的前景。

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Objects generated by an arbitrary natural number. Part 3: Standard modal-topological aspect

The set $\underline{SET}(n)$ generated by an arbitrary natural number $n$, was defined in [3]. There, and in [4], some arithmetic functions and arithmetic operators of a modal type are defined over the elements of $\underline{SET}(n)$. Here, over the elements of $\underline{SET}(n)$ arithmetic operators of a topological type are defined and some of their basic properties are studied. Perspectives for future research are discussed.

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Notes on Number Theory and Discrete Mathematics MATHEMATICS-

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33.30%

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