ideal
additive subgroup of a ring closed under multiplcation by arbitrary ring element
monomial ideal
torus action
nil ideal
ideal consisting solely of nilpotent elements
maximal ideal
proper ideal such that the only ideal it is properly contained in is the ring itself
trivial ideal
ideals {0} and R of a ring R
regular ideal
kind of algebraic structure
irrelevant ideal
mathematical term
annihilator
concept in module theory
Jacobian ideal
ideal generated by the Jacobian of a function
primal ideal
proper ideal of a commutative ring such that the elements not prime to it form an ideal
zero ideal
ideal {0} in a ring
principal ideal
ideal generated by one element
Jacobson radical
radical of a ring as a module over itself; the intersection of all maximal right (or equivalently left) ideals of the ring; the sum of all superfluous right (or equiv. left) ideals