Closure functions on the set of positive integers

被引：0

作者：

岑嘉评

机构：

[1] Department of Mathematics

[2] The Chinese University of Hong Kong

[3] Hong

来源：

Science in China,SerA. | 1996年 / Ser.A.1996卷 / 04期

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D O I：

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摘要：

<正> The following question raised by P. C. Hammer in 1960 is answered: Let M be the set of all positive integers, ft the closure function under multiplication defined on the power set of M and c the complementation function. Do h and c generate exactly 14 distinct functions by composition in any order? Different types of sets which yield 14 distinct sets in the set of positive intergers will also be found.

引用

页码：337 / 346

页数：10

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