Elementary matrix reduction over J-stable rings
MS Abdolyousefi, H Chen - Communications in Algebra, 2017 - Taylor & Francis
ABSTRACT A commutative ring R is J-stable provided that R∕ aR has stable range 1 for all
a∉ J (R). A commutative ring R in which every finitely generated ideal principal is called a B …
a∉ J (R). A commutative ring R in which every finitely generated ideal principal is called a B …
Stable Range of Some Classes of Noncommutative Rings.
AM Bilous, AI Gatalevych - Journal of Mathematical Sciences, 2022 - search.ebscohost.com
It is shown that the right-adequate duo ring with a nonzero Jacobson radical has stable
range one. It is established that the class of complete matrices of order 2 over a duo …
range one. It is established that the class of complete matrices of order 2 over a duo …
Elementary matrix reduction over Zabavsky rings
H Chen, M Sheibani - Bulletin of the Korean Mathematical Society, 2016 - bkms.kms.or.kr
We prove, in this note, that a Zabavsky ring $ R $ is an elementary divisor ring if and only if $
R $ is a B\'ezout ring. Many known results are thereby generalized to much wider class of …
R $ is a B\'ezout ring. Many known results are thereby generalized to much wider class of …
Feckly Adequate Conditions and Elementary Matrix Reduction
H Chen, M Sheibani - arXiv preprint arXiv:1501.04699, 2015 - arxiv.org
We present some new conditions for a B $\acute {e} $ zout ring to be an elementary divisor
ring. We prove, in this note, that a B $\acute {e} $ zout ring $ R $ is feckly zero-adequate if …
ring. We prove, in this note, that a B $\acute {e} $ zout ring $ R $ is feckly zero-adequate if …