Some results on the complement of the annihilating ideal graph of a commutative ring

DOI10.1142/S0219498815500991zbMath1315.13011MaRDI QIDQ5255719

Hiren D. Patel, S. Visweswaran

Publication date: 19 June 2015

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

zbMATH Keywords

complemented graphB-prime of \((0)\)complement of the annihilating ideal graph of a commutative ringmaximal N-prime of \((0)\)

Mathematics Subject Classification ID

Ideals and multiplicative ideal theory in commutative rings (13A15) Graph theory (05C99)

Related Items

Some results on the complement of the comaximal ideal graphs of commutative rings, Unnamed Item, On a spanning subgraph of the annihilating-ideal graph of a commutative ring, Unnamed Item, Some results on a spanning subgraph of the complement of the annihilating-ideal graph of a commutative reduced ring, On the connectedness of the complement of the zero-divisor graph of a poset, Annihilating-ideal graphs with independence number at most four

Cites Work

• Unnamed Item
• On the coloring of the annihilating-ideal graph of a commutative ring
• When is the complement of the zero-divisor graph of a commutative ring complemented?
• Some properties of the complement of the zero-divisor graph of a commutative ring
• Coloring of commutative rings
• Zero-divisor graphs, von Neumann regular rings, and Boolean algebras.
• SOME RESULTS ON THE COMPLEMENT OF THE ZERO-DIVISOR GRAPH OF A COMMUTATIVE RING
• THE ANNIHILATING-IDEAL GRAPH OF COMMUTATIVE RINGS I
• THE ANNIHILATING-IDEAL GRAPH OF COMMUTATIVE RINGS II
• Unit Action and the Geometric Zero-Divisor Ideal Graph
• THE ZERO-DIVISOR GRAPH OF VON NEUMANN REGULAR RINGS
• Smarandache Vertices of the Graphs Associated to the Commutative Rings
• The Classification of the Annihilating-Ideal Graphs of Commutative Rings
• On the Noetherian-like rings of E. G. Evans