division ring

division ring
A ring with 0 ≠ 1, such that every non-zero element a has a multiplicative inverse, meaning an element x with ax = xa = 1.

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  • Division ring — In abstract algebra, a division ring, also called a skew field, is a ring in which division is possible. Specifically, it is a non trivial ring in which every non zero element a has a multiplicative inverse, i.e., an element x with a·x = x·a = 1 …   Wikipedia

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  • Division Huygens — Division de Huygens La division de Huygens est un espace situé à l intérieur du système des anneaux de la planète Saturne. Sommaire 1 Caractéristiques 2 Voir aussi 2.1 Liens internes 2.2 …   Wikipédia en Français

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