left ideal

Noun

Meaning

left ideal (plural left ideals)

(algebra) A subring which is closed under left-multiplication by any element of the ring.
If I is a left ideal of R then



r
I
⊆
I


{\displaystyle rI\subseteq I}

for any



r
∈
R


{\displaystyle r\in R}

.

Examples

Discouraging smoking and drinking is a left ideal. José Luis Rodríguez Zapatero

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