LekhoriLekhoriPertaining to ideas, or to a given idea.
Existing only in the mind; conceptual, imaginary.
The idea of ghosts is ridiculous in the extreme; and if you continue to be swayed by ideal terrors —
A perfect standard of beauty, intellect etc., or a standard of excellence to aim at.
Ideals are like stars; you will not succeed in touching them with your hands. But like the seafaring man on the desert of waters, you choose them as your guides, and following them you will reach your destiny - Carl Schurz
A two-sided ideal; a subset of a ring which is closed under both left and right multiplication by elements of the ring.
A city in Georgia, United States.
An unincorporated community in Illinois.
An unincorporated community in South Dakota.
From French idéal, from Late Latin ideālis (“existing in idea”), by surface analysis, idea + -al, from Latin idea (“idea”); see idea. In mathematics, the noun ring theory sense was first introduced by...
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Let #92;mathbb#123;Z#125; be the ring of integers and let 2#92;mathbb#123;Z#125; be its ideal of even integers. Then the quotient ring #92;mathbb#123;Z#125;#47;2#92;mathbb#123;Z#125; is a Boolean ring.
A non-empty lower set (of a partially ordered set) which is closed under binary suprema (a.k.a. joins).
1992, Unnamed translator, T. S. Fofanova, General Theory of Lattices, in Ordered Sets and Lattices II, American Mathematical Society, page 119, An ideal A of L is called complete if it contains all least upper bounds of its subsets that exist in L. Bishop and Schreiner [80] studied conditions under which joins of ideals in the lattices of all ideals and of all complete ideals coincide.