This site is supported by donations to The OEIS Foundation.
Associates
From OeisWiki
This article page is a stub, please help by expanding it.
The associates of a number in a ring are the products of that number by each of the units. For example, among the Gaussian integers, the associates of are , and , which are the original number multiplied by –1, and respectively. A number is one of its own associates, as it is itself multiplied by 1.
It is common to mod out associates, identifying (for example) –3 and 3 as members of the same equivalence class.