title: Generalized semicommutative rings
metadata.name: dc.contributor.author
metadata.value: Roy, Debraj
metadata.lang: -
metadata.name: dc.contributor.author
metadata.value: Subedi, Tikaram
metadata.lang: -
metadata.name: dc.date.accessioned
metadata.value: 2020-04-10T12:52:07Z
metadata.lang: -
metadata.name: dc.date.available
metadata.value: 2020-04-10T12:52:07Z
metadata.lang: -
metadata.name: dc.date.issued
metadata.value: 2020-03
metadata.lang: -
metadata.name: dc.identifier.citation
metadata.value: Roy D., Subedi T. Generalized semicommutative rings. Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy, 2020, vol. 7 (65), issue 1, pp. 91–103.
metadata.lang: en_GB
metadata.name: dc.identifier.other
metadata.value: https://doi.org/10.21638/11701/spbu01.2020.110
metadata.lang: -
metadata.name: dc.identifier.uri
metadata.value: http://hdl.handle.net/11701/17332
metadata.lang: -
metadata.name: dc.description.abstract
metadata.value: We call a ring R generalized semicommutative if for any a, b 2 R, ab = 0 implies there
  exists positive integers m, n such that amRbn = 0. We observe that the class of generalized
  semicommutative rings strictly lies between the class of central semicommutative
  rings and weakly semicommutative-I rings. Relationships are provided between generalized
  semicommutative rings and some known classes of rings. From an arbitrary generalized
  semicommutative ring, we produce many families of generalized semicommutative rings.
  Finally we provide some conditions for a generalized semicommutative ring to be reduced.
metadata.lang: en_GB
metadata.name: dc.language.iso
metadata.value: ru
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 7 (65); Issue 1
metadata.lang: -
metadata.name: dc.subject
metadata.value: semicommutative ring
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: generalized semicommutative ring
metadata.lang: en_GB
metadata.name: dc.title
metadata.value: Generalized semicommutative rings
metadata.lang: en_GB
metadata.name: dc.type
metadata.value: Article
metadata.lang: en_GB
resources.filename: 91-103.pdf
resources.url: https://dspace.spbu.ru/bitstream/11701/17332/1/91-103.pdf
resources.format: Adobe PDF
resources.size: 335,18 kB