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Left ideal

Noun

Definitions

1.NounA subset of a ring 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} ."

Synonyms

right idealideallocal ringleft identitylocalizationsubfieldsubringtwo-sided idealintegral domainprincipal ideal ringresidue fieldfactor ring
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