On Coprime Modules and Comodules

DOI10.1080/00927870802466926zbMath1171.16023OpenAlexW2025468496MaRDI QIDQ3627035

Robert Wisbauer, Indah Emilia Wijayanti

Publication date: 14 May 2009

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

Full work available at URL: https://doi.org/10.1080/00927870802466926

zbMATH Keywords

dual algebrascoprime coalgebrascoprime modulescoprime comodules

Mathematics Subject Classification ID

Torsion theories; radicals on module categories (associative algebraic aspects) (16S90)

Related Items (14)

A Zariski Topology for Modules ⋮ PS-hollow representations of modules over commutative rings ⋮ Valued Gabriel quiver of a wedge product and semiprime coalgebras. ⋮ Unnamed Item ⋮ A dual Zariski topology for modules. ⋮ On Fully Prime Radicals ⋮ Comodules and Corings ⋮ When a (dual-)Baer module is a direct sum of (co-)prime modules ⋮ On a class of \(\lambda \)-modules ⋮ Zariski-like topologies for lattices with applications to modules over associative rings ⋮ A characterization of modules embedding in products of primes and enveloping condition for their class ⋮ BOUNDED AND FULLY BOUNDED MODULES ⋮ Zariski Topologies for Coprime and Second Submodules ⋮ Some results of fully prime submodules

Cites Work

• Coprime preradicals and modules.
• Projective modules with prime endomorphism rings
• Fully coprime comodules and fully coprime corings.
• Comatrix corings: Galois corings, descent theory, and a structure theorem for cosemisimple corings.
• ON PRIME AND SEMIPRIME MODULES AND COMODULES
• On prime modules and rings
• Properly semiprime self-pp-modules
• ASSOCIATED PRIMES OVER SKEW POLYNOMIAL RINGS
• PRIME AND IRREDUCIBLE PRERADICALS
• Duprime and dusemiprime modules
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