Artinian Local Rings Whose Annihilating-ideal Graphs Are Star Graphs

DOI10.1142/S1005386715000073zbMath1307.13006MaRDI QIDQ5496358

Houyi Yu, Wei Ping Gu, Tong Suo Wu

Publication date: 30 January 2015

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

zbMATH Keywords

local ringsstar graphsartinian ringsquotients of polynomial ringsannihilating-ideals

Mathematics Subject Classification ID

Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Structural characterization of families of graphs (05C75) Ideals and multiplicative ideal theory in commutative rings (13A15) Commutative rings and modules of finite generation or presentation; number of generators (13E15)

Related Items (2)

The annihilating-ideal graph of commutative semigroups ⋮ Classifying annihilating-ideal graphs of commutative artinian rings

Cites Work

• Minimal prime ideals and cycles in annihilating-ideal graphs
• The structure of a class of \(Z\)-local rings
• THE ANNIHILATING-IDEAL GRAPH OF COMMUTATIVE RINGS I
• THE ANNIHILATING-IDEAL GRAPH OF COMMUTATIVE RINGS II
• The Structure of Finite Local Principal Ideal Rings
• The Classification of the Annihilating-Ideal Graphs of Commutative Rings

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