On the rings of the morita context which are some well-known orders

DOI10.1080/00927879808826212zbMath0902.16007OpenAlexW1992216887MaRDI QIDQ4395738

Po Yang, Yang Zhang, Hidetoshi Marubayashi

Publication date: 7 December 1998

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927879808826212

zbMATH Keywords

idempotentsregular elementsMorita contextsquotient ringssemisimple Artinian ringssimple Artinian ringsright Ore sets

Mathematics Subject Classification ID

Module categories in associative algebras (16D90) Simple and semisimple modules, primitive rings and ideals in associative algebras (16D60) Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.) (16H05) Artinian rings and modules (associative rings and algebras) (16P20) Ore rings, multiplicative sets, Ore localization (16U20)

Related Items (8)

Rings of Morita contexts which are Dubrovin valuation rings ⋮ Generalized hereditary Noetherian prime rings ⋮ A characterization of G-Dedekind prime Morita contexts ⋮ Modules over formal matrix rings. ⋮ Multiplicative Ideal Theory in Noncommutative Rings ⋮ Rings of the Morita Contexts and Semihereditary MaximalV-Orders ⋮ Hopficity and co-hopficity for morita contexts ⋮ Projective ideals of skew polynomial rings over HNP rings

Cites Work

• Unnamed Item
• Anneaux de Krull non commutatifs
• Normal radicals and normal classes of rings
• Non-commutative Dedekind rings
• Rings of quotients and Morita contexts
• Localisation in Asano orders
• Arithmetically graded rings revisited
• Semiprime Goldie Generalised Matrix Rings
• Skew group rings and maximal orders

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