Absorbing element

An absorbent element is a special element of an algebraic structure.

Definition

It is the amount of a carrier algebraic structure with a two-digit shortcut. An element is called left -absorbing and an absorbing element is called right (with respect to ) if for all:

An element that is left -and right- absorbing ( re) is called absorbing ( as of). The two-digit shortcut there is at most an absorbent element, for true for absorbent members:

Examples

A well-known example is the zero that is absorbent member in the ring of integers under multiplication means any number multiplied by zero is zero.

In any bounded Association, there are two links to an absorbing element: For example, in propositional logic, the true statement for linking to "or" absorbing element, the false statement with respect to the link with "and" absorbing element.