T. Calci

collaborators

3 papers

math.RA2025

Rings with $I^$ -quasipolarity Property

Tugce Pekacar Calci, Serhat Emirhan Soycan

This study provides a comprehensive investigation into the structure and properties of a novel class of rings known as $I^$ -quasipolar rings, in which for every $a \in R$ there exis…

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 $I^´ (R)$ denote the Zhou radical of $R$ . A ring $R$ is called {\it $I^´$ -reversible} if for any $a$ , $b \in R$ , $ab = 0$ implies $ba \in I^´ (R)$ . I…

Rings with I^-quasipolarity Property

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

Reversibility of rings with respect to the Zhou Radical

Rings with $I^$ -quasipolarity Property

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