scientific article; zbMATH DE number 7335983
zbMath1469.13011MaRDI QIDQ4984891
Elham Mehdi-Nezhad, Amir M. Rahimi
Publication date: 21 April 2021
Full work available at URL: https://pjm.ppu.edu/sites/default/files/papers/PJM_NOV_2020_37_to_49.pdf
Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.
commutative ringzero-component of a prime ideal(countably) McCoy ring(weakly) essential prime ideal(weakly) firm ringzero-divisor and total graphs
Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Ideals and multiplicative ideal theory in commutative rings (13A15) Rings of fractions and localization for commutative rings (13B30) General commutative ring theory and combinatorics (zero-divisor graphs, annihilating-ideal graphs, etc.) (13A70)
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Cites Work
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- On the diameter and girth of a zero-divisor graph
- On some graphs associated to commutative semirings
- The \(k\)-zero-divisor hypergraph of a commutative ring
- The total graph of a commutative ring
- Coloring of commutative rings
- The zero-divisor graph of a commutative ring
- Zero-divisor graphs, von Neumann regular rings, and Boolean algebras.
- Intersections of essential (resp. free) maximal ideals of \(C(X)\)
- Complemented zero-divisor graphs and Boolean rings
- The diameter of a zero divisor graph
- Properties of rings with a finite number of zero divisors
- Zero-divisor graphs of idealizations
- Dominating sets of the comaximal and ideal-based zero-divisor graphs of commutative rings
- Dominating Sets of Some Graphs Associated to Commutative Rings
- Infinite Planar Zero-Divisor Graphs
- On the Zero-Divisor Graph of a Ring
- An Ideal-Based Zero-Divisor Graph of a Commutative Ring
- The annihilation graphs of commutator posets and lattices with respect to an ideal
- Commutative rings in which zero-components of essential primes are essential
- On the Dot Product Graph of a Commutative Ring
- Smarandache Vertices of the Graphs Associated to the Commutative Rings
- On the Annihilator Graph of a Commutative Ring
- The Annihilating-Ideal Graph of a Commutative Ring with Respect to an Ideal
- Zero-Divisor Graphs of Polynomials and Power Series Over Commutative Rings
- The annihilation graphs of commutator posets and lattices with respect to an element