Injectives for ring monomorphisms with accessible images

DOI10.1080/00927878208822743zbMath0483.16023OpenAlexW2013381462MaRDI QIDQ3941567

B. J. Gardner

Publication date: 1982

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

Full work available at URL: https://doi.org/10.1080/00927878208822743

zbMATH Keywords

indecomposable ringsdirect sumaccessible ringaccessible imagesindecomposable acc-injective ringssimple minimally embeddable ring

Mathematics Subject Classification ID

Injective modules, self-injective associative rings (16D50) Prime and semiprime associative rings (16N60) Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras) (16D70) Infinite-dimensional simple rings (except as in 16Kxx) (16D30) Associative rings and algebras with additional structure (16W99) Division rings and semisimple Artin rings (16Kxx) Radicals and radical properties of associative rings (16Nxx)

Related Items

Unnamed Item ⋮ Radicals and idempotents II ⋮ Strong semi-simplicity ⋮ Associative rings ⋮ Injectives for ring isomorphisms with accessible images, ii ⋮ On the lattice of all radical classes, part i: examples of pseudocomplements

Cites Work

• Injectives and simple objects
• Absolute retracts, relatively injective simple objects and Brown-McCoy radicals
• Unequivocal Rings
• Injective Rings
• Absolute retracts in group theory
• Unnamed Item
• Unnamed Item