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Transversals of families in complete lattices, and torsion in product modules

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Publication:1078587
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DOI10.1007/BF00340781zbMath0597.06003MaRDI QIDQ1078587

George M. Bergman, Fred Galvin

Publication date: 1987

Published in: Order (Search for Journal in Brave)


zbMATH Keywords

complete latticetorsion moduleright Ore domainchains of right idealscommutative Noetherian integral domaininfinite direct product module which is torsionproductively bounded ringuncountable well-ordered chains


Mathematics Subject Classification ID

Complete lattices, completions (06B23) Torsion theories; radicals on module categories (associative algebraic aspects) (16S90) Torsion modules and ideals in commutative rings (13C12) Modules, bimodules and ideals in associative algebras (16Dxx)


Related Items (2)

Infinite joins that are finitely join-irreducible ⋮ Transversally bounded lattices



Cites Work

  • Boundedness of direct products of torsion modules
  • Infinitary Jonsson algebras and partition relations
  • Infinite joins that are finitely join-irreducible
  • Descending chains and the Krull ordinal of commutative Noetherian rings
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