3x + 1 semigroup

id: 3x-1-semigroup-233-13582746
title: 3x + 1 semigroup
text: In algebra, the 3x + 1 semigroup is a special subsemigroup of the multiplicative semigroup of all positive rational numbers. The elements of a generating set of this semigroup are related to the sequence of numbers involved in the still open Collatz conjecture or the "3x + 1 problem". The 3x + 1 semigroup has been used to prove a weaker form of the Collatz conjecture. In fact, it was in such context the concept of the 3x + 1 semigroup was introduced by H. Farkas in 2005. Various generalizations
brand slug: wiki
category slug: encyclopedia
description: Special semigroup of positive rational numbers
original url: https://en.wikipedia.org/wiki/3x_%2B_1_semigroup
date created:
date modified: 2024-03-21T17:45:37Z
main entity: {"identifier":"Q25305019","url":"https://www.wikidata.org/entity/Q25305019"}
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fields total: 13
integrity: 14

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