The Total Graphs of Finite Rings

DOI10.1080/00927872.2014.907417zbMath1332.16012arXiv1401.1941OpenAlexW1530674976MaRDI QIDQ5500718

David Dolžan, Polona Oblak

Publication date: 7 August 2015

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

Full work available at URL: https://arxiv.org/abs/1401.1941

zbMATH Keywords

total graphszero-divisorsnoncommutative finite rings

Mathematics Subject Classification ID

Finite rings and finite-dimensional associative algebras (16P10) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25)

Related Items (3)

The total graphs of finite commutative semirings ⋮ On the independence number of regular graphs of matrix rings ⋮ When a total graph associated with a commutative ring is perfect?

Cites Work

• Rings whose total graphs have genus at most one
• The total graph and regular graph of a commutative ring
• The total graph of a commutative ring
• On 'Properties of rings with a finite number of zero divisors'
• Properties of rings with a finite number of zero divisors. II
• ON THE TOTAL GRAPH OF A COMMUTATIVE RING WITHOUT THE ZERO ELEMENT
• On the Total Graph of a Finite Commutative Ring
• On the Genus of the Total Graph of a Commutative Ring

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