THE ANNIHILATING-IDEAL GRAPH OF A RING

DOI10.4134/JKMS.2015.52.6.1323zbMath1333.16002arXiv1411.4159OpenAlexW2964310367MaRDI QIDQ3458936

Farid Aliniaeifard, Yuan Lin Li, Mahmood Behboodi

Publication date: 28 December 2015

Published in: Journal of the Korean Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1411.4159

zbMATH Keywords

directed graphsmatrix ringsannihilating-ideal graphsproducts of one-sided ideals of ringszero-divisor graphs of semigroups

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) General structure theory for semigroups (20M10) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Structural characterization of families of graphs (05C75) Distance in graphs (05C12) Ideals and multiplicative ideal theory in commutative rings (13A15) Ideals in associative algebras (16D25) Directed graphs (digraphs), tournaments (05C20) Commutative Artinian rings and modules, finite-dimensional algebras (13E10) Chain conditions on annihilators and summands: Goldie-type conditions (16P60)

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