artinian
41Goldie's theorem — In mathematics, Goldie s theorem is a basic structural result in ring theory, proved by Alfred Goldie (1920 2005) during the 1950s. It gives a result on the noetherian rings that have a classical ring of quotients, that is a semisimple artinian… …
42Liste der Biografien/Ar — Biografien: A B C D E F G H I J K L M N O P Q …
43Satz von Krull-Remak-Schmidt — Der Satz von Krull Remak Schmidt ist ein wichtiger Satz in der Algebra, einem Teilgebiet der Mathematik. Er besagt, dass sich unter bestimmten Endlichkeitsvoraussetzungen Gruppen bzw. Moduln im Wesentlichen eindeutig als direktes Produkt ihrer… …
44Armenios en el Imperio Otomano — Saltar a navegación, búsqueda Los armenios en el Imperio Otomano residían en dos territorios, el territorio occidental, y en la Armenia otomana, o Armenia Occidental, que hace referencia al territorio oriental de la península Anatolia, el cual… …
45Nil ideal — In mathematics, more specifically ring theory, an ideal of a ring is said to be a nil ideal if each of its elements is nilpotent.[1][2] The nilradical of a commutative ring is an example of a nil ideal; in fact, it is the ideal of the ring… …
46Nilpotent ideal — In mathematics, more specifically ring theory, an ideal, I, of a ring is said to be a nilpotent ideal, if there exists a natural number k such that Ik = 0.[1] By Ik, it is meant the additive subgroup generated by the set of all products of k… …
47Nilradical of a ring — For more radicals, see radical of a ring. In algebra, the nilradical of a commutative ring is the ideal consisting of the nilpotent elements of the ring. In the non commutative ring case, more care is needed resulting in several related radicals …
48Notability — For the Wikipedia editing guideline, see Wikipedia:Notability Notability is the property of being worthy of notice, having fame, or being considered to be of a high degree of interest, significance, or distinction. It also refers to the capacity… …
49Ascending chain condition — The ascending chain condition (ACC) and descending chain condition (DCC) are finiteness properties satisfied by some algebraic structures, most importantly, ideals in certain commutative rings.[1][2][3] These conditions played an important role… …
50Ideal (ring theory) — In ring theory, a branch of abstract algebra, an ideal is a special subset of a ring. The ideal concept allows the generalization in an appropriate way of some important properties of integers like even number or multiple of 3 . For instance, in… …
