Ideals in (Z⁺, ≤D)

• Published in: Algebra and Discrete Mathematics
• Date: 2013
• Main Author: Sagi, S.
• Format: Article
• Language: English
• Published: Інститут прикладної математики і механіки НАН України 2013
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/152313
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Ideals in (Z⁺, ≤D) / S. Sagi // Algebra and Discrete Mathematics. — 2013. — Vol. 16, № 1. — С. 107–115. — Бібліогр.: 9 назв. — англ.

A convolution is a mapping C of the set Z⁺ of positive integers into the set P(Z⁺) of all subsets of Z⁺ such that every member of C(n) is a divisor of n. If for any n, D(n) is the set of all positive divisors of n, then D is called the Dirichlet's convolution. It is well known that Z⁺ has the s...