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The symbol p^e∥n means, for p a prime, that p^e|n, but p^(e+1)n.

The symbol % used to indicate percent.

A finite-dimensional Lie algebra all of whose elements are ad-nilpotent is itself a nilpotent Lie algebra.

A generalization of a Heyting algebra which replaces Boolean algebra in "intuitionistic" logic.

An operator A^~ such that A^~^2=A^~ or an element of an algebra x such that x^2=x.

If A is a unital Banach algebra where every nonzero element is invertible, then A is the algebra of complex numbers.

A unar is an algebra A=(A,f), where f is a single unary operation.

A set considered together with the sigma-algebra on the set.

A set equipped with a sigma-algebra of subsets.

Every Lie algebra L is isomorphic to a subalgebra of some Lie algebra A^-, where the associative algebra A may be taken to be the linear operators over a vector space V.