Restricted left principal ideal rings
Copyright policy )Restricted left principal ideal rings
A ring is an LD-ring ifR is left bounded, ifR/J is a left Artinian left principal ideal ring for every proper idealJ inR, and ifR has finite left Goldie dimension. IfR is non-Artinian thenR is an order in a simple Artinian ringS. The ideal theory of LD-rings is investigated, and we discuss some conditions under which an LD-ring is an hereditary ring, and some under which an LD-ring is a Noetherian, bounded, maximal Asano order. A central localization of an LD-ring is an LD-ring, and the center of some LD-rings is a Krull-domain.
- Northwestern University United States
Localization and associative Noetherian rings, Finite rings and finite-dimensional associative algebras, Modules, bimodules and ideals in associative algebras
Localization and associative Noetherian rings, Finite rings and finite-dimensional associative algebras, Modules, bimodules and ideals in associative algebras
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