3 citations · 18 across the 46 of their papers we have counts for
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Elementary Matrix Reduction Over J-Stable Rings
Marjan Sheibani Abdolyousefi, Huanyin Chen
A commutative ring is J-stable provided that for any , has stable range one. A ring is called an elementary divisor ring if every matrix o…
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.…
Extensions of square stable range one
Huanyin Chen, Marjan Sheibani
An ideal of a ring is square stable if with and implies that is invertible in for some . We prove that an exchange ideal $I…
Periodicity and J-Clean-like Rings
Huanyin Chen, Marjan Sheibani Abdolyousefi
A ring is periodic provided that for any there exist distinct elements such that . We shall prove that periodicity is inherited by a type…
Separative exchange rings in which 2 is invertible
Huanyin Chen
An exchange ring is separative provided that for all finitely generated projective right -modules and , $A\oplus A\cong A\oplus B\cong B\oplus B\Longrightarrow A\cong…
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…