• SOME ASPECTS OF MODULES OVER A RING AND ITS COLORINGS
Abstract
In this paper we investigate some graph theoretic aspects of modules, in particular coloring of its vertices. In our discussion especially we have dealt here the cases of finite dimensional modules and in some cases some sort of finiteness conditions on its annihilators. Results obtained here are basically on its finite cliques and chromatic numbers.
Keywords
Annihilators, Nil-radical, Goldie ring, Goldie module, -clique, -chromatic number
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