ON THE NOTION OF STRONG IRREDUCIBILITY AND ITS DUAL

DOI10.1142/S0219498813500126zbMath1286.16001arXiv1207.4227MaRDI QIDQ4928318

Christian Lomp, Jawad Y. Abuhlail

Publication date: 11 June 2013

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

Full work available at URL: https://arxiv.org/abs/1207.4227

zbMATH Keywords

lattices of submodulesZariski topologydual Zariski topologystrongly hollow submodulesstrongly irreducible idealslattices of hereditary torsion theoriesstrongly irreducible elementsstrongly irreducible submodules

Mathematics Subject Classification ID

Complete lattices, completions (06B23) Torsion theories; radicals on module categories (associative algebraic aspects) (16S90) Semilattices (06A12) Chain conditions on annihilators and summands: Goldie-type conditions (16P60) General module theory in associative algebras (16D10)

Related Items

Generalizations of strongly hollow ideals and a corresponding topology ⋮ PS-hollow representations of modules over commutative rings ⋮ Zariski-like topologies for lattices with applications to modules over associative rings ⋮ Strongly hollow elements of commutative rings

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