New characterizations of EP, generalized normal and generalized Hermitian elements in rings
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摘要
We present a number of new characterizations of EP elements in rings with involution in purely algebraic terms. Then, we study equivalent conditions for an element a in a ring with involution to satisfy ana∗ = a∗an or an = (a∗)n for arbitrary n ∈ N. For n = 1, we present some new characterizations of normal and Hermitian elements in rings with involution.
论文关键词：EP elements,Moore–Penrose inverse,Group inverse,Generalized normal elements,Generalized Hermitian elements,Ring with involution
论文评审过程：Available online 8 January 2012.
论文官网地址：https://doi.org/10.1016/j.amc.2011.12.030
