ABSTRACT
In this paper, we introduce the notion of the EP-nilpotent decomposition and present some of its applications. By applying the decomposition, we introduce two partial orders (the E-N partial order and the E-S partial order) and characterize their properties. The two partial orders above are non-minus-type partial orders, although the method used to introduce the two partial orders is similar to that of the C-N partial order, a minus-type partial order.
Acknowledgments
The authors wish to extend their sincere gratitude to the referees for their precious comments and suggestions.
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Correction Statement
This article has been republished with minor changes. These changes do not impact the academic content of the article.