On weakly clean and weakly exchange rings having the strong property | Zendy

Peter Danchev | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Open Access

On weakly clean and weakly exchange rings having the strong property

Author(s) -

Peter Danchev

Publication year - 2017

Publication title -

publications de l institut mathematique

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.246

H-Index - 17

eISSN - 1820-7405

pISSN - 0350-1302

DOI - 10.2298/pim1715135d

Subject(s) - property (philosophy) , pure mathematics , von neumann regular ring , mathematics , ring (chemistry) , chen , chin , chemistry , geology , philosophy , epistemology , paleontology , organic chemistry

We define two classes of rings calling them weakly clean rings and weakly exchange rings both equipped with the strong property. Although the classes of weakly clean rings and weakly exchange rings are different, their two proper subclasses above do coincide. This extends results due to W. Chen (Commun. Algebra, 2006) and Chin-Qua (Acta Math. Hungar., 2011). We also completely characterize strongly invo-regular rings, thus somewhat extending results due to Danchev–McGovern (J. Algebra, 2015). Some other principal results concerning weakly clean and weakly exchange rings are discussed as well.

The content you want is available to Zendy users.

Already have an account? Click here to sign in.

Having issues? You can contact us here

Accelerating Research