The Semilattice of Annihilator Classes in a Reduced Commutative Ring

DOI10.1080/00927872.2014.897183zbMath1318.13010OpenAlexW2075734667MaRDI QIDQ5245107

John D. LaGrange, David F. Anderson

Publication date: 2 April 2015

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

Full work available at URL: https://doi.org/10.1080/00927872.2014.897183

zbMATH Keywords

latticesemilatticereduced ringannihilator conditionweakly complemented ring

Mathematics Subject Classification ID

Ordered semigroups and monoids (06F05) Semilattices (06A12) Lattices (06B99) General commutative ring theory (13A99)

Related Items (5)

Some remarks on the compressed zero-divisor graph ⋮ On the diameter of the zero-divisor graph over skew PBW extensions ⋮ On the dot product graph of a commutative ring, II ⋮ On diameter of the zero-divisor and the compressed zero-divisor graphs of skew Laurent polynomial rings ⋮ On the diameter of compressed zero-divisor graphs of ore extensions

Cites Work

• Unnamed Item
• Commutative Boolean monoids, reduced rings, and the compressed zero-divisor graph
• The zero-divisor graph of a commutative ring
• Zero-divisor graphs, von Neumann regular rings, and Boolean algebras.
• A Zero Divisor Graph Determined by Equivalence Classes of Zero Divisors
• CYCLES AND SYMMETRIES OF ZERO-DIVISORS
• Zero-divisor graphs in commutative rings
• GENERALIZATIONS OF COMPLEMENTED RINGS WITH APPLICATIONS TO RINGS OF FUNCTIONS

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