The p-adic Integers as Final Coalgebra

被引：1

作者：

Bhattacharya, Prasit ^{[1
]}

机构：

[1] Indiana Univ, Dept Math, Bloomington, IN 47405 USA

来源：

LOGIC, LANGUAGE, INFORMATION, AND COMPUTATION, WOLLIC 2015 | 2015年 / 9160卷

关键词：

D O I：

10.1007/978-3-662-47709-0_14

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

We express the classical p-adic integers (Z) over cap (p), as a metric space, as the final coalgebra to a certain endofunctor. We realize the addition and the multiplication on (Z) over cap (p) as the coalgebra maps from (Z) over cap (p) x (Z) over cap (p).

引用

页码：189 / 199

页数：11

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