Homomorphic images and the singular ideal of a strongly right bounded ring

DOI10.1080/00927878808823621zbMath0659.16025OpenAlexW1993622250MaRDI QIDQ3808263

Gary F. Birkenmeier, Ralph P. Tucci

Publication date: 1988

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

Full work available at URL: https://doi.org/10.1080/00927878808823621

zbMATH Keywords

nilpotent elementsduo ringclosed idealsingular idealscompletely semiprime idealstrongly right bounded ring

Mathematics Subject Classification ID

Modules, bimodules and ideals in associative algebras (16Dxx)

Related Items (9)

MODULES WITH FULLY INVARIANT SUBMODULES ESSENTIAL IN FULLY INVARIANT SUMMANDS ⋮ ON RINGS WHOSE RIGHT ANNIHILATORS ARE BOUNDED ⋮ On strongly right bounded finite rings II ⋮ Right complement bounded semiprime rings ⋮ On strongly bounded rings and duo rings ⋮ A taxonomy of 2-primal rings. ⋮ Two theorems of QF rings. ⋮ Corigend homomorphic images and the singular ideal of a strongly right boundade ring ⋮ On strongly right bounded finite rings

Cites Work

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• Maximal duo algebras of matrices
• The Krull radical, k-primitive rings, and critical rings
• Factorization and lattice theorems for a bounded pricipal ideal domain
• Structure of right subdirectly irreducible rings. I
• Structure of right subdirectly irreducible rings. II
• Left principal ideal domains
• Rings whose proper homomorphic images are right subdirectly irreducible
• Split-null extensions of strongly right bounded rings
• Quotient Rings of Rings Generated by Faithful Cyclic Modules
• A generalization of FPF rings
• Rings with Unique Maximal Ideals
• Self-injective rings and the minimal direct summand containing the nilpotents
• On Duo Rings

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