The proof of a conjecture in Jacobson graph of a commutative ring

DOI10.1142/S0219498815501078zbMath1325.05086OpenAlexW2024369346WikidataQ123025174 ScholiaQ123025174MaRDI QIDQ2949747

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Publication date: 2 October 2015

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219498815501078

zbMATH Keywords

clique numbercommutative ringsJacobson graph

Mathematics Subject Classification ID

Finite rings and finite-dimensional associative algebras (16P10) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Vertex subsets with special properties (dominating sets, independent sets, cliques, etc.) (05C69) Jacobson radical, quasimultiplication (16N20)

Related Items (5)

The matrix Jacobson graph of finite commutative rings ⋮ The complement of the intersection graph of ideals of a poset ⋮ Unnamed Item ⋮ The annihilating graph of a ring ⋮ The intersection graph of ideals of ℤm

Cites Work

• The total graph and regular graph of a commutative ring
• The total graph of a commutative ring
• The zero-divisor graph of a commutative ring
• Commuting graphs of some subsets in simple rings
• Properties of rings with a finite number of zero divisors
• On the Total Graph and Its Complement of a Commutative Ring
• ON THE ASSOCIATED GRAPHS TO A COMMUTATIVE RING
• ON THE TOTAL GRAPH OF A COMMUTATIVE RING WITHOUT THE ZERO ELEMENT
• THE TOTAL GRAPH OF A COMMUTATIVE RING WITH RESPECT TO PROPER IDEALS
• THE JACOBSON GRAPH OF COMMUTATIVE RINGS
• THE GENERALIZED TOTAL GRAPH OF A COMMUTATIVE RING
• THE INTERSECTION GRAPH OF GAMMA SETS IN THE TOTAL GRAPH OF A COMMUTATIVE RING-I
• Commutative Rings Whose Cozero-Divisor Graphs are Unicyclic or of Bounded Degree

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