T. Calci

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20212025

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math.RA2024

Left dual $(b, c)$ -core inverses in rings

Tugce Pekacar Calci, Serhat Emirhan Soycan

Let $a, b, c \in R$ where $R$ is a $*$ -ring. We call $a$ \textit{left dual $(b, c)$ -core invertible} if there exists $x \in R c$ such that $b x ab = b$ and $(x ab)^{*} = x ab$ . Such an $x$ is call…

math.RA2024

Reversibility of rings with respect to the Zhou Radical

Tugce Pekacar Calci, Serhat Emirhan Soycan

Let $R$ be a ring with identity and $δ (R)$ denote the Zhou radical of $R$ . A ring $R$ is called {\it $δ$ -reversible} if for any $a$ , $b \in R$ , $ab = 0$ implies $ba \in δ (R)$ . In t…

Left dual (b,c)-core inverses in rings

Reversibility of rings with respect to the Zhou Radical

Left dual $(b, c)$ -core inverses in rings