SOME RESULTS ON THE COMPLEMENT OF THE ZERO-DIVISOR GRAPH OF A COMMUTATIVE RING

DOI10.1142/S0219498811004781zbMath1228.13012MaRDI QIDQ3103652

S. Visweswaran

Publication date: 8 December 2011

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

zbMATH Keywords

commutative ringsmaximal N-prime of (0)B-prime of (0)complement of the zero-divisor graphits connectedness and its diameterpolynomial rings and power series rings over commutative rings

Mathematics Subject Classification ID

Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) General commutative ring theory (13A99)

Related Items (10)

A graph associated with the set of all nonzero annihilating ideals of a commutative ring ⋮ On the planarity of a graph associated to a commutative ring and on the planarity of its complement ⋮ On a spanning subgraph of the annihilating-ideal graph of a commutative ring ⋮ On the complement of the total zero-divisor graph of a commutative ring ⋮ Some properties of the complement of the zero-divisor graph of a commutative ring ⋮ When is the complement of the zero-divisor graph of a commutative ring complemented? ⋮ On the zero-divisor graph of Rickart *-rings ⋮ COMPLEMENT OF THE ZERO DIVISOR GRAPH OF A LATTICE ⋮ On Primary Ideals in Posets ⋮ Some results on the complement of the annihilating ideal graph of a commutative ring

Cites Work

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• Coloring of commutative rings
• Ideals contracted from a Noetherian extension ring
• Divided rings and going-down
• The zero-divisor graph of a commutative ring
• Beck's coloring of a commutative ring
• The diameter of a zero divisor graph
• An Ideal-Based Zero-Divisor Graph of a Commutative Ring
• The Zero-Divisor Graphs Which Are Uniquely Determined By Neighborhoods
• Zero-Divisor Graphs of Polynomials and Power Series Over Commutative Rings
• Central Sets and Radii of the Zero-Divisor Graphs of Commutative Rings
• On the Noetherian-like rings of E. G. Evans
• Remarks on Divisors of Zero

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