T. Calci

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20212025

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5 papers · 1 filter

math.RA2025

Rings with $Δ$ -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 $Δ$ -quasipolar rings, in which for every $a \in R$ there exisx…

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…

math.RA2022

The Natural partial order on modules

Tugba Pakel, Tugce Pekacar Calci, Sait Halicioglu +2

The Mitsch order is already known as a natural partial order for semigroups and rings. The purpose of this paper is to further study of the Mitsch order on modules by investigating…

math.RA2021

Perturbation for group inverse in a Banach algebra

Dayong Liu, Tugce Pekacar Calci, Handan Kose +1

We present new additive results for the group inverse in a Banach algebra under certain perturbations. The upper bound of $∥ (a + b)^{#} - a^{d} ∥$ is thereby given. These extend the ma…

Rings with Δ-quasipolarity Property

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

Reversibility of rings with respect to the Zhou Radical

The Natural partial order on modules

Perturbation for group inverse in a Banach algebra

Rings with $Δ$ -quasipolarity Property

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