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Rings with flat right ideals and distributive rings

โœ Scribed by A. A. Tuganbaev

Publisher
SP MAIK Nauka/Interperiodica
Year
1985
Tongue
English
Weight
481 KB
Volume
38
Category
Article
ISSN
0001-4346

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๐Ÿ“œ SIMILAR VOLUMES

Rings of Operators on Modules over Commu
Rings of Operators on Modules over Commutative Rings and Their Right Ideals
โœ R.C Cannings; M.P Holland ๐Ÿ“‚ Article ๐Ÿ“… 1996 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 300 KB

We introduce and impose conditions under which the finitely generated essential right ideals of E may be classified in terms of k-submodules of M. This yields a classification of the domains Morita equivalent to E when E is a Noetherian domain. For example, a special case of our results is:

Distributive rings and modules
Distributive rings and modules
โœ A. A. Tuganbaev ๐Ÿ“‚ Article ๐Ÿ“… 1990 ๐Ÿ› SP MAIK Nauka/Interperiodica ๐ŸŒ English โš– 487 KB
Rings with Unique Maximal Ideals
Rings with Unique Maximal Ideals
โœ M. Satyanarayana; M. G. Deshpande ๐Ÿ“‚ Article ๐Ÿ“… 1979 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 416 KB

A ring with identity is said to be a local ring if it contains a unique maximal right ideal [2; 751. This implies that the unique maximal right ideal is also the unique maximal ideal. But rings with unique maximal ideals need not be local rings. The ring of all 2x2 matrices over the ring of integers