Издательство: | Книга по требованию |
Дата выхода: | июль 2011 |
ISBN: | 978-6-1333-7975-6 |
Объём: | 92 страниц |
Масса: | 160 г |
Размеры(В x Ш x Т), см: | 23 x 16 x 1 |
High Quality Content by WIKIPEDIA articles! In ring theory, a left primitive ring is a ring which has a faithful simple left module. Examples include matrix algebras over division rings, non-commutative polynomial rings and simple Artinian rings. A ring R is said to be a left primitive ring if and only if it has a faithful simple left R-module. A right primitive ring is defined similarly with right R-modules. By the Jacobson density theorem, a ring is left primitive if and only if it is isomorphic to a dense ring of endomorphisms of a right vector space over a division ring. A commutative ring is left primitive if and only if it is a field. A left artinian ring is left primitive if and only if it is simple if and only if it is prime. A ring is left primitive if and only if it is prime and has a faithful left module of finite length.
Данное издание не является оригинальным. Книга печатается по технологии принт-он-деманд после получения заказа.