Abstract
ABSTRACT The current research investigates the core partial order for its further properties. We introduce a new property for matrices of index at most 1, namely and is called as ‘the core-subtractivity’. This property then is used to explore relations between the powers and subtractivity properties of the core partial order. In particular, we prove that is equivalent to under the core-subtractivity property. We also examine some new conditions under which the core partial order is equivalent to the minus and diamond partial orders.
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