ANNIHILATOR GRAPHS OF COMMUTATOR POSETS

Let P be a commutator poset with Z(P) its set of zero-divisors. Theannihilator graph of P, denoted by AG(P), is the (undirected) graph with allelements of Z(P) n f0g as vertices, and distinct vertices x; y are adjacent if andonly if ann(xy) 6= ann(x) [ ann(y). In this paper, we study basic propertie...

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Veröffentlicht in:Honam mathematical journal 2018, 40(1), , pp.75-82
1. Verfasser: Rezvan Varmazyar
Format: Artikel
Sprache:eng
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Zusammenfassung:Let P be a commutator poset with Z(P) its set of zero-divisors. Theannihilator graph of P, denoted by AG(P), is the (undirected) graph with allelements of Z(P) n f0g as vertices, and distinct vertices x; y are adjacent if andonly if ann(xy) 6= ann(x) [ ann(y). In this paper, we study basic properties ofAG(P). KCI Citation Count: 0
ISSN:1225-293X
2288-6176
DOI:10.5831/HMJ.2018.40.1.75