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Yang-mills field equations describe new forces in the context of Lie groupsand principle bundles. It is of interest to know if the new forces andgravitation can be described in the context of algebroids. This work wasintended as an attempt to answer last question. The basic idea is to constructEinstein field equation in an algebroid bundle associated to space-timemanifold. This equation contains Einstein and yang-mills field equationssimultaneously. Also this equation yields a new equation that can haveinteresting experimental results.

Application of Lie algebroid structures to unification of Einstein and yang-mills field equations