The 𝒥-Radical and the Pierce Radicals of a Lattice-Ordered Ring

DOI10.1081/AGB-120022792zbMath1023.06018MaRDI QIDQ4420213

Stuart A. Steinberg

Publication date: 14 August 2003

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

zbMATH Keywords

Jacobson radicalannihilatorslattice-ordered ringquasi-regularity\(f\)-ringmatrix ringsubdirect product decomposition\(\mathcal J\)-radical

Mathematics Subject Classification ID

Ordered rings, algebras, modules (06F25) General radicals and associative rings (16N80)

Cites Work

• Radicals in function rings
• A structure theory for a class of lattice-ordered rings
• Groupes et anneaux reticules
• On the scarcity of lattice-ordered matrix rings
• The theory of radicals in lattice-ordered rings
• Unnamed Item

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