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Commuting graphs and extremal centralizers
A concrete example is constructed showing that if F is not algebraically closed, then the commuting graph of M n ( F ) can be connected with the diameter at least five.
Properties of core-EP order in rings with involution
We study properties of a relation in *-rings, called the core-EP (pre)order which was introduced by H. Wang on the set of all n × n complex matrices [Linear Algebra Appl., 2016, 508: 289–300] and has
Orthomaps on formally real simple Jordan algebras
We characterize maps on finite-dimensional formally real simple Jordan algebras with the property φ(A◦B) = φ(A)◦φ(B) for all A,B . Although we do not assume additivity it turns out that every such