Resumen de On partial orders in proper ∗ -rings
Janko Marovt
We study orders in proper ∗-rings that are derived from the core-nilpotent decomposition. The notion of the C-N-star partial order and the S-star partial order is extended from Mn(C), the et of all n×n complex matrices, to the set of all Drazin invertible elements in proper ∗-rings with identity. Properties of these orders are investigated and their characterizations are presented. For a proper ∗-ring A with identity, it is shown that on the set of all Drazin invertible elements a∈A where the core part of a is an EP element, the C-N-star partial order implies the star partial order.
