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Null semigroup

In mathematics, a null semigroup (also called a zero semigroup) is a semigroup with an absorbing element, called zero, in which the product of any two elements is zero. If every element of a semigroup is a left zero then the semigroup is called a left zero semigroup; a right zero semigroup is defined analogously.

Products, Properties & Null semigroup

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Properties

Identity elementMonoidDirect productsVariety of universal algebraVariety of finite semigroups
5 related topics

Null semigroup

Cayley table
1 related topics

Right zero semigroup

Right zero
1 related topics

Overview

MathematicsZeroAbsorbing elementLeft zeroA. H. Clifford
6 related topics

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Overview

Null semigroup

Right zero semigroup

Properties

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Null semigroup

Nodes18
Edges17
Triples8
Avg. degree1.89
Density0.111111
Components1

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Null semigroup

Top relations

related to Cayley table for a null semigroup · 3
Null semigroup → Cayley, Let, Then
related to Properties · 3
Null semigroup → It, On, The
related to Null semigroup · 2
Null semigroup → Let, Then

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Important terminology

semigroup zero null right left called element semigroups cayley table every also xy given thus identity defined monoid mathematics follows

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SubjectPredicateObjectConfidenceSrc
Null semigrouprelated to Cayley table for a null semigroupLet0.60section
Null semigrouprelated to Cayley table for a null semigroupThen0.60section
Null semigrouprelated to Cayley table for a null semigroupCayley0.60section
Null semigrouprelated to Null semigroupLet0.60section
Null semigrouprelated to Null semigroupThen0.60section
Null semigrouprelated to PropertiesIt0.60section
Null semigrouprelated to PropertiesOn0.60section
Null semigrouprelated to PropertiesThe0.60section

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