The graph of equivalence classes of zero divisors

DOI10.1155/2014/896270zbMath1298.13003OpenAlexW1980865259WikidataQ59049753 ScholiaQ59049753MaRDI QIDQ470537

H. Y. Pourali, B. N. Waphare, Vinayak Joshi

Publication date: 12 November 2014

Published in: ISRN Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2014/896270

Mathematics Subject Classification ID

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

Related Items

Zero-divisor graphs of matrices over lattices ⋮ Diameter and girth of the multiplicative zero-divisor graph of multiplicative lattices ⋮ Zero-divisor graphs and total coloring conjecture ⋮ Distributive lattices with strong endomorphism kernel property as direct sums ⋮ Chordal and perfect zero-divisor graphs of posets and applications to graphs associated with algebraic structures ⋮ Beck's conjecture and multiplicative lattices ⋮ Baer ideals in 0-distributive posets

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Prime ideals in 0-distributive posets
• On the diameter and girth of zero-divisor graphs of posets
• On the zero divisor graphs of \(pm\)-lattices
• Diameter, girth and cut vertices of the graph of equivalence classes of zero-divisors
• The zerodivisor graph of a qoset
• The zero-divisor graphs of posets and an application to semigroups
• On zero-divisor graphs of Boolean rings
• Commutative Boolean monoids, reduced rings, and the compressed zero-divisor graph
• On completion of section semicomplemented posets
• On Beck's coloring of posets
• Coloring of commutative rings
• Zero divisor graph of a poset with respect to an ideal
• On generalized zero divisor graph of a poset
• Complemented zero-divisor graphs and Boolean rings
• On uniquely complemented posets
• Section semicomplemented lattices
• A Zero Divisor Graph Determined by Equivalence Classes of Zero Divisors
• ZERO DIVISOR GRAPHS OF LATTICES AND PRIMAL IDEALS
• AN IDEAL THEORETIC APPROACH TO COMPLETE PARTITE ZERO-DIVISOR GRAPHS OF POSETS
• COMPLEMENT OF THE ZERO DIVISOR GRAPH OF A LATTICE
• The zero divisor graphs of Boolean posets