The zero divisor graph of semigroups of finite modulo integers n under product is studied and characterized. If n is a non-prime, the zero divisor graph is not a tree. We introduce the new notion of tree covering a pseudo lattice. When n is an even integer of the form 2p, p a prime, then the modulo integer zero divisor graph is a tree-covering pseudo lattice.
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[v1] 2012-10-17 11:08:46
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