title: Weakly exchange rings whose units are sums of two idempotents
metadata.name: dc.contributor.author
metadata.value: Danchev, Peter V.
metadata.lang: -
metadata.name: dc.date.accessioned
metadata.value: 2019-05-24T17:01:38Z
metadata.lang: -
metadata.name: dc.date.available
metadata.value: 2019-05-24T17:01:38Z
metadata.lang: -
metadata.name: dc.date.issued
metadata.value: 2019-06
metadata.lang: -
metadata.name: dc.identifier.citation
metadata.value: Danchev P.V. Weakly exchange rings whose units are sums of two idempotents. Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy, 2019, vol. 6 (64), issue 2, pp. 265–269.
metadata.lang: en_GB
metadata.name: dc.identifier.other
metadata.value: https://doi.org/10.21638/11701/spbu01.2019.208
metadata.lang: -
metadata.name: dc.identifier.uri
metadata.value: http://hdl.handle.net/11701/15558
metadata.lang: -
metadata.name: dc.description.abstract
metadata.value: We prove that if every element in the unit group U(R) of a weakly exchange ring R is a sum of two idempotents of R, then every element in the center C(R) of R is a sum of two central idempotents of R. This somewhat enlarges results due to Ko¸san  Ying Zhou published in Can. Math. Bull. (2016) as well as due to Karimi   Ko¸san Zhou published in Contemp. Math. (2018). Moreover, we show that each nilpotent of order not exceeding 2 in a von Neumann regular ring is a difference of two special (left-right symmetric) idempotents. This somewhat refines a recent result by O’Meara stated in a still unpublished preprint (2018).
metadata.lang: en_GB
metadata.name: dc.language.iso
metadata.value: en
metadata.lang: en_GB
metadata.name: dc.publisher
metadata.value: St Petersburg State University
metadata.lang: en_GB
metadata.name: dc.relation.ispartofseries
metadata.value: Vestnik of St Petersburg University. Mathematics. Mechanics. Astronomy;Volume 6 (64); Issue 2
metadata.lang: -
metadata.name: dc.subject
metadata.value: weakly exchange rings
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: units
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: idempotents
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: center
metadata.lang: en_GB
metadata.name: dc.title
metadata.value: Weakly exchange rings whose units are sums of two idempotents
metadata.lang: en_GB
metadata.name: dc.type
metadata.value: Article
metadata.lang: en_GB
resources.filename: 265-269.pdf
resources.url: https://dspace.spbu.ru/bitstream/11701/15558/1/265-269.pdf
resources.format: Adobe PDF
resources.size: 270,58 kB