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

共 50 条

[1] VISUALIZING THE P-ADIC INTEGERS
CUOCO, AA
AMERICAN MATHEMATICAL MONTHLY, 1991, 98 (04): : 355 - 364
[2] A CHARACTERIZATION OF THE P-ADIC INTEGERS
COHEN, JA
KOH, K
COMMUNICATIONS IN ALGEBRA, 1989, 17 (03) : 631 - 636
[3] BADLY APPROXIMABLE P-ADIC INTEGERS
ABERCROMBIE, AG
PROCEEDINGS OF THE INDIAN ACADEMY OF SCIENCES-MATHEMATICAL SCIENCES, 1995, 105 (02): : 123 - 134
[4] Congruences, trees, and p-adic integers
Schmidt, WM
Stewart, CL
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1997, 349 (02) : 605 - 639
[5] Badly approximable p-adic integers
1600, Indian Acad of Sciences, Bangalore, India (105):
[6] Codes Over the p-adic Integers
Steven T. Dougherty
Young Ho Park
Designs, Codes and Cryptography, 2006, 39 : 65 - 80
[7] CONVOLUTIONS ON THE RING OF P-ADIC INTEGERS
WOODCOCK, CF
JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES, 1979, 20 (AUG): : 101 - 108
[8] FOURIER SERIES ON P-ADIC INTEGERS
CHANEY, RW
DUKE MATHEMATICAL JOURNAL, 1971, 38 (02) : 387 - &
[9] On p-adic Expansions of Algebraic Integers
Chen, Hsing-Hau
Huang, Ming-Deh
PROCEEDINGS OF THE 2015 ACM ON INTERNATIONAL SYMPOSIUM ON SYMBOLIC AND ALGEBRAIC COMPUTATION (ISSAC'15), 2015, : 109 - 116
[10] AN ALGORITHMIC APPROACH TO P-ADIC INTEGERS
VICKERS, S
LECTURE NOTES IN COMPUTER SCIENCE, 1988, 298 : 599 - 615

← 1 2 3 4 5 →