Left ideal

GPTKB entity

Statements (15)
Predicate Object
gptkbp:instanceOf gptkb:algebra
gptkbp:contrastsWith gptkb:Two-sided_ideal
Right ideal
gptkbp:definedIn gptkb:Ring_(mathematics)
gptkbp:example Set of all polynomials with zero constant term in polynomial ring
Set of all matrices with zero last column in M_n(R)
gptkbp:generalizes Submodule
https://www.w3.org/2000/01/rdf-schema#label Left ideal
gptkbp:property Closed under addition
Closed under left multiplication by ring elements
gptkbp:type gptkb:Ideal_(ring_theory)
gptkbp:used_in gptkb:Noncommutative_ring_theory
Module theory
gptkbp:bfsParent gptkb:Ideal
gptkbp:bfsLayer 6