On generalized Dedekind prime rings.

DOI10.1016/J.JALGEBRA.2008.07.001zbMath1171.16001OpenAlexW2094386098MaRDI QIDQ958061

Evrim Akalan

Publication date: 2 December 2008

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2008.07.001

zbMATH Keywords

integral domainsmaximal ordersinvertible idealsreflexive idealsgeneralized Dedekind prime rings

Mathematics Subject Classification ID

Ideals in associative algebras (16D25) Dedekind, Prüfer, Krull and Mori rings and their generalizations (13F05) Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.) (16H05) Noetherian rings and modules (associative rings and algebras) (16P40) Integral domains (associative rings and algebras) (16U10)

Related Items (14)

Ore-Rees rings which are maximal orders. ⋮ Revisiting G-Dedekind domains ⋮ Arithmetic modules over generalized Dedekind domains ⋮ A characterization of G-Dedekind prime Morita contexts ⋮ Differential polynomial rings which are generalized Asano prime rings. ⋮ Finitely generated torsion-free modules over integrally closed domains ⋮ Group rings which are G-Dedekind prime rings ⋮ Positively graded rings which are maximal orders and generalized Dedekind prime rings ⋮ Right Mori Orders ⋮ Strongly graded rings which are generalized Dedekind rings ⋮ Ore Extensions Over PI G-Dedekind Prime Rings ⋮ Multiplicative Ideal Theory in Noncommutative Rings ⋮ NEW CHARACTERIZATIONS OF GENERALIZED DEDEKIND PRIME RINGS ⋮ SKEW POLYNOMIAL RINGS WHICH ARE GENERALIZED ASANO PRIME RINGS

Cites Work

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