Huanyin Chen

activity

20142024

most citedOn generalized core-EP invertibility in a Banach algebra

8 citations · 13 across the 13 of their papers we have counts for

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Showing math.RAShow all

8 papers · 1 filter

math.RA2022

Strongly Rad-clean Matrices over Commutative Local Rings

Huanyin Chen, Handan Kose, Yosum Kurtulmaz

An element $a \in R$ is provided that there exists an idempotent $e \in R$ such that $a - e \in U (R), a e = e a$ and $e a e \in J (e R e)$ . In this article, we investigate strongly rad-clean matr…

math.RA2014

Elementary Matrix Reduction Over J-Stable Rings

Marjan Sheibani Abdolyousefi, Huanyin Chen

A commutative ring $R$ is J-stable provided that for any $a \neq \in J (R)$ , $R / a R$ has stable range one. A ring $R$ is called an elementary divisor ring if every $m \times n$ matrix o…

math.RA2014★ 2 cited

Rings involving idempotents, units and nilpotent elements

Nahid Ashrafi, Marjan Sheibani, Huanyin Chen

We define the concepts of weakly precious and precious rings which generalize the notions of weakly clean and nil-clean rings. We obtain some fundamental properties of these rings.…

math.RA2014

Extensions of square stable range one

Huanyin Chen, Marjan Sheibani

An ideal $I$ of a ring $R$ is square stable if $a R + b R = R$ with $a \in I$ and $b \in R$ implies that $a^{2} + b y$ is invertible in $I$ for some $y \in I$ . We prove that an exchange ideal $I…

math.RA2014★ 1 cited

Separative exchange rings in which 2 is invertible

Huanyin Chen

An exchange ring $R$ is separative provided that for all finitely generated projective right $R$ -modules $A$ and $B$ , $A\oplus A\cong A\oplus B\cong B\oplus B\Longrightarrow A\cong…

math.RA2014

Internal Cancellation over SSP Rings

Huanyin Chen

A ring is SSP if the sum of two direct summands is a direct summand. A ring has internal cancellation if every its (von Neumann) regular elements are unit-regular. We show that in…