On the relative (quasi-) continuity of modules

DOI10.1080/00927879808826355zbMath0912.16001OpenAlexW2156692399MaRDI QIDQ4216810

S. Tariq Rizvi, Kiyoichi Oshiro, Sergio R. López-Permouth

Publication date: 8 December 1998

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

Full work available at URL: https://doi.org/10.1080/00927879808826355

zbMATH Keywords

direct sumsexchange propertyrelative continuity

Mathematics Subject Classification ID

Injective modules, self-injective associative rings (16D50)

Related Items (8)

CHARACTERIZATIONS OF LIFTING MODULES IN TERMS OF COJECTIVE MODULES AND THE CLASS OF ℬ(M,X) ⋮ Direct projective modules, direct injective modules, and their generalizations ⋮ Generalized lifting modules. ⋮ ONX-EXTENDING ANDX-CONTINUOUS MODULES ⋮ The Extending Condition Relative to Sets of Submodules ⋮ Essential and extending modules relative to a left exact preradical ⋮ The Osofsky-Smith Theorem for Modular Lattices, and Applications (II) ⋮ Relative continuity of direct sums of M-injective modules

Cites Work

• Unnamed Item
• Cyclic modules whose quotients have all complement submodules direct summands
• On injective and quasi-continuous modules
• Lifting modules, extending modules and their applications to QF-rings
• On the Decomposition of Continuous Modules
• Relative injectivity and module classes
• Modules Et Anneaux Quasi-Continus
• π-injective modules and rings whose cyclics are π-injective
• Mutual Infective Hulls

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