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3x + 1 semigroup

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In algebra, the 3x + 1 semigroup is a special subsemigroup of the multiplicative semigroup of all positive rational numbers. [1]

6 relations: Algebra, Collatz conjecture, Generator (mathematics), Rational number, Semigroup, Wild number.


Algebra (from Arabic "al-jabr", literally meaning "reunion of broken parts") is one of the broad parts of mathematics, together with number theory, geometry and analysis.

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Collatz conjecture

The Collatz conjecture is a conjecture in mathematics that concerns a sequence defined as follows: start with any positive integer n. Then each term is obtained from the previous term as follows: if the previous term is even, the next term is one half the previous term.

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Generator (mathematics)

In mathematics and physics, the term generator or generating set may refer to any of a number of related concepts.

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Rational number

In mathematics, a rational number is any number that can be expressed as the quotient or fraction of two integers, a numerator and a non-zero denominator.

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In mathematics, a semigroup is an algebraic structure consisting of a set together with an associative binary operation.

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Wild number

Originally, wild numbers are the numbers supposed to belong to a fictional sequence of numbers imagined to exist in the mathematical world of the mathematical fiction The Wild Numbers authored by Philibert Schogt, a Dutch philosopher and mathematician.

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3 x + 1 semigroup, 3x+1 semigroup, The 3x + 1 semigroup, Weak Collatz conjecture, Wild semigroup.


[1] https://en.wikipedia.org/wiki/3x_%2B_1_semigroup

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