title: On a question concerning D4-modules
metadata.name: dc.contributor.author
metadata.value: Das, Soumitra
metadata.lang: -
metadata.name: dc.date.accessioned
metadata.value: 2021-10-07T12:22:11Z
metadata.lang: -
metadata.name: dc.date.available
metadata.value: 2021-10-07T12:22:11Z
metadata.lang: -
metadata.name: dc.date.issued
metadata.value: 2021-09
metadata.lang: -
metadata.name: dc.identifier.citation
metadata.value: Das S. On a question concerning D4-modules. Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy, 2021, vol. 8 (66), issue 3, pp. 467–474.
metadata.lang: en_GB
metadata.name: dc.identifier.other
metadata.value: https://doi.org/10.21638/spbu01.2021.308
metadata.lang: -
metadata.name: dc.identifier.uri
metadata.value: http://hdl.handle.net/11701/33262
metadata.lang: -
metadata.name: dc.description.abstract
metadata.value: An R-module M is called a D4-module if ‘whenever M1 and M2 are direct summands
  of M with M1 + M2 = M and M1 ∼= M2, then M1 ∩ M2 is a direct summand of M’.
  Let M = ⊕i∈IMi be a direct sum of submodules Mi with Hom(Mi,Mj ) = 0 for distinct
  i, j ∈ I. We show that M is a D4-module if and only if for each i ∈ I the module Mi is
  a D4-module. This settles an open question concerning direct sums of D4-modules. Our
  approach is independent of the solution obtained by D’Este, Keskin Tütüncü and Tribak
  recently.
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 8 (66); Issue 3
metadata.lang: -
metadata.name: dc.subject
metadata.value: SIP-modules
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: D4-modules
metadata.lang: en_GB
metadata.name: dc.title
metadata.value: On a question concerning D4-modules
metadata.lang: en_GB
metadata.name: dc.type
metadata.value: Article
metadata.lang: en_GB
resources.filename: 467-474.pdf
resources.url: https://dspace.spbu.ru/bitstream/11701/33262/1/467-474.pdf
resources.format: Adobe PDF
resources.size: 298,1 kB