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A universe started in almost de Sitter phase with time varying holographic dark energy corresponding to a time varying cosmological term is considered. The time varying cosmological dark energy and the created matter are consistent with the Einstein’s equation. The general conservation law for decaying dark energy and created matter is stated. By asuming that the initial matter were crated in relativistic form, we have analysed the possibility of evolving the universe from de Sitter phase to Friedmann universe.

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