## Semigroups as Graphs, by W. B. Vasantha Kandasamy, Florentin Smarandache

**Authors:** W. B. Vasantha Kandasamy, Florentin Smarandache

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.

**Comments:** 153 Pages.

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### Submission history

[v1] 2012-10-17 11:08:46

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