Übersetzung für 'Ore localization' von Englisch nach Deutsch

Ore localization

Ore-Lokalisierung {f}math.

• In mathematics, especially in the area of algebra known as ring theory, the Ore condition is a condition introduced by Øystein Ore, in connection with the question of extending beyond commutative rings the construction of a field of fractions, or more generally localization of a ring.
• While the localization exists for every set "S" of prospective units, it might take a different form to the one described above.
• Thus the torsion submodule of "M" can be interpreted as the set of the elements that "vanish in the localization".
• Localizing non-commutative rings is more difficult; the localization does not exist for every set "S" of prospective units.