On the addition of units and non-units in finite commutative rings

DOI10.1216/RMJ-2015-45-6-1887zbMath1332.05088MaRDI QIDQ261661

Dariush Kiani, Mohsen Mollahajiaghaei

Publication date: 24 March 2016

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.rmjm/1457960340

zbMATH Keywords

unitnon-unitunitary Cayley graphwalks

Mathematics Subject Classification ID

Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Structure of finite commutative rings (13M05)

Related Items (2)

On the addition of squares of units modulo \(n\) ⋮ Restricted linear congruences

Cites Work

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• On the unitary Cayley graph of a ring
• Energy of unitary Cayley graphs and gcd-graphs
• Necessary and sufficient conditions for unit graphs to be Hamiltonian
• The total graph and regular graph of a commutative ring
• Rings which are generated by their units
• On the addition of units and nonunits mod \(m\)
• On the unitary Cayley graph of a finite ring
• 2-GOOD RINGS

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