Prime, irreducible, and completely irreducible lattice preradicals on modular complete lattices (I)

DOI10.1142/S0219498822500979OpenAlexW3135068738MaRDI QIDQ5070899

Jaime Castro Pérez, José Ríos Montes, Toma L.Albu

Publication date: 14 April 2022

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219498822500979

zbMATH Keywords

modular latticeupper continuous latticefully invariant elementlattice preradicalcompletely irreducible lattice preradicalfully invariant sublatticeirreducible lattice preradicallinear morphism of latticelinear quasi-projective latticeprime latticeprime preradicalprime sublattice

Mathematics Subject Classification ID

Cites Work

• Lattice preradicals with applications to Grothendieck categories and torsion theories.
• Dual Krull dimension and quotient finite dimensionality
• Fully invariant-extending modular lattices, and applications. I.
• On infinite Goldie dimension of modular lattices and modules
• Sommes directes de sous-modules co-irréductibles d'un module
• PRIME AND IRREDUCIBLE PRERADICALS
• Modular C11 lattices and lattice preradicals
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