New results on EP elements in rings with involution
Long Wang, Dijana Mosic, Yuefeng Gao
TL;DR
This paper provides new characterizations of EP elements in rings with involution, introduces the concept of central EP elements, and explores generalized EP elements known as *-DMP elements.
Contribution
It offers novel characterizations of EP elements, defines and investigates central EP elements, and studies generalized EP elements called *-DMP elements.
Findings
Characterizations of EP elements via equations
Introduction of central EP elements and their properties
Characterizations of *-DMP (generalized EP) elements
Abstract
In this paper, we mainly give characterizations of EP elements in terms of equations. In addition, a related notion named a central EP element is defined and investigated. Finally, we focus on characterizations of a generalized EP element, i.e. *-DMP element.
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Taxonomy
TopicsSynthesis and properties of polymers · Matrix Theory and Algorithms · Numerical methods in engineering