idempotent
idempotent
definition
noun
Every left ideal is generated by an idempotent , and R is von neumann.
an idempotent element.
adjective
Read his paper, On a conjecture of Littlewood and idempotent measures, American Journal of Mathematics 82, 191-212.
denoting an element of a set that is unchanged in value when multiplied or otherwise operated on by itself.
example
Every left ideal is generated by an 'idempotent' , and R is von neumann.
Read his paper, On a conjecture of Littlewood and 'idempotent' measures, American Journal of Mathematics 82, 191-212.
We have already seen the addpath function, which performs an 'idempotent' addition of a pathel to a pathvar.
These two processes are inverses of one another, and show that the theory of Boolean algebras and of rings with identity in which every element is 'idempotent' are definitionally equivalent.
He used the, now familiar, tools of 'idempotent' and nilpotent elements.
The purpose of addpath is to add a pathel (path element) to a pathvar (path variable) in an 'idempotent' fashion.
Further, an idempotent is semiprimitive if it is central and if it cannot be expressed as u v where u and v are central 'idempotents' with uv = 0.
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