Neboǰsa Č. Dinčić

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math.RA2026

Commutator-based Solutions to $A X A = X A X$ when $A^{n} = t A^{2}$

Bogdan D. Djordjevic, Nebojsa C. Dincic, Mihailo Djuric

This paper offers a novel analytical method for obtaining new non-commuting solutions for the Yang-Baxter-like matrix equation $A X A = X A X$ , when the coefficient matrix $A$ satisfies…

math.RA2014

Group, Moore-Penrose, core and dual core inverse in rings with involution

Dragan S. Rakić, Nebojša Č. Dinčić, Dragan S. Djordjević

Let $R$ be a ring with involution. The recently introduced notions of the core and dual core inverse are extended from matrix to an arbitrary $*$ -ring case. It is shown that the gr…

Commutator-based Solutions to AXA=XAX when An=tA2

Group, Moore-Penrose, core and dual core inverse in rings with involution

Commutator-based Solutions to $A X A = X A X$ when $A^{n} = t A^{2}$