Ideals are the values you prioritize and actively pursue in order to reach your personal goals. They act as the magnetic north of your moral universe. They keep your focus and centered to yourself. When set correctly and pursued completely they can change your life forever.
The term “ideal” is also used in the abstract to mean the ideal of a certain standard, and sometimes implies that the standard is merely conceptual and not actually. This concept or standard could be applied to people or behavior.
In mathematics, an ideal (plural ideals) is a subring within the ring which is closed by multiplication by the elements of the ring and has specific absorption properties. The idea of an ideal was developed by the German mathematician Richard Dedekind in 1871. It is a crucial tool for lattice theories as well as other areas of algebra.
A number ring is ideal ring if its prime factors are all non-zero. Such the ring is referred to as a commutative band.
For a Boolean algebra Subset II of the set
Similarly, a group is an ideal if it has an additive subgroup (or, equivalently a perfect field). For example, the simple integers generated by 2 and 12 are ideal as each of their elements is a multiple of 2, and therefore divisible by 2.