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Filtrations on simple Artinian rings

โœ Scribed by Li Huishi; F Van Oystaeyen

Publisher
Elsevier Science
Year
1990
Tongue
English
Weight
961 KB
Volume
132
Category
Article
ISSN
0021-8693

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๐Ÿ“œ SIMILAR VOLUMES

Unitary Elements in Simple Artinian Ring
Unitary Elements in Simple Artinian Rings
โœ C.L. Chuang; P.H. Lee ๐Ÿ“‚ Article ๐Ÿ“… 1995 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 475 KB

The problem of determining when a unitary element is a product of Cayley unitary elements is completely solved for simple artinian rings of characteristic not 2. Theorem 1. Let \(D\) be a division ring of characteristic not 2 . Suppose that \(R=D_{n}\) assumes an involution which induces a non-ident

On Some Classes of Artinian Rings
On Some Classes of Artinian Rings
โœ Dinh Van Huynh; S.Tariq Rizvi ๐Ÿ“‚ Article ๐Ÿ“… 2000 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 152 KB

A module M is called a CS-module if every submodule of M is essential in a direct summand of M. A ring R is called CS-semisimple if every right R-module is CS. For a ring R, we show that: ลฝ . 1 R is right artinian with Jacobson radical cube zero if every countably generated right R-module is a dire