Rings of quotients of generalized matrix rings

DOI10.1080/00927878708823519zbMath0629.16013OpenAlexW2145154230MaRDI QIDQ3765936

Marianne Müller

Publication date: 1987

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

Full work available at URL: https://doi.org/10.1080/00927878708823519

zbMATH Keywords

injective modulerings of quotientsgeneralized matrix ringbicommutator

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Localization and associative Noetherian rings (16P50)

Related Items (27)

A characterization of extending trivial Morita contexts ⋮ Reversibility of rings with respect to the Jacobson radical ⋮ Injective modules over formal matrix rings. ⋮ Modules over formal matrix rings. ⋮ Rings whose cyclics are D3-modules ⋮ Ding projective modules over Morita context rings ⋮ Lie centralizers and commutant preserving maps on generalized matrix algebras ⋮ STRONG P-CLEANNESS OF TRIVIAL MORITA CONTEXTS ⋮ On the binary system of factors of formal matrix rings ⋮ Rings in which every left zero-divisor is also a right zero-divisor and conversely ⋮ Projective and hereditary modules over rings of generalized matrices ⋮ Rings such that, for each unit u, u − u n belongs to the Jacobson radical ⋮ Study of Morita contexts ⋮ Jordan automorphism of Morita context algebras ⋮ Study of formal triangular matrix rings ⋮ Simple modules over generalized matrix rings. ⋮ Associated primes and primary right ideals of generalized triangular matrix rings ⋮ A characterization of extending generalized triangular matrix rings ⋮ RRF rings which are not LRF ⋮ Group rings that are UJ rings ⋮ Generalized Munn rings ⋮ On the vanishing of Ext over formal triangular matrix rings ⋮ The p.p. property of trivial extensions ⋮ Almost self-duality and Harada rings. ⋮ Hopficity and co-hopficity for morita contexts ⋮ Morita contexts and the projective socle property ⋮ A generalization of UJ-rings

Cites Work

• On the representation theory of rings in matrix form
• The quotient category of a Morita context
• Flat modules, injective modules and quotient rings
• Torsion theories, additive semantics, and rings of quotients. With an appendix by H. H. Storrer on torsion theories and dominant dimensions
• U-distinguished modules
• Maximal quotient rings of generalized matrix rings
• Rings and modules of quotients

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