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Description
  • We present a classification of those finite length modules X over a ring A which are isomorphic to every module Y of the same length such that Ker Hom(-,X) = Ker Hom (-,Y), i.e., X is determined by its length and the torsion pair cogenerated by X. We also prove the dual result using the torsion pair generated by X. For A right hereditary, we prove an analogous classification using the cotorsion pair generated by X, but show that the dual result is not provable in ZFC.
  • We present a classification of those finite length modules X over a ring A which are isomorphic to every module Y of the same length such that Ker Hom(-,X) = Ker Hom (-,Y), i.e., X is determined by its length and the torsion pair cogenerated by X. We also prove the dual result using the torsion pair generated by X. For A right hereditary, we prove an analogous classification using the cotorsion pair generated by X, but show that the dual result is not provable in ZFC. (en)
Title
  • Modules determined by their annihilator classes
  • Modules determined by their annihilator classes (en)
skos:prefLabel
  • Modules determined by their annihilator classes
  • Modules determined by their annihilator classes (en)
skos:notation
  • RIV/00216208:11320/10:10049905!RIV11-GA0-11320___
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • P(GA201/09/0816), Z(MSM0021620839)
http://linked.open...iv/cisloPeriodika
  • 81
http://linked.open...vai/riv/dodaniDat
http://linked.open...aciTvurceVysledku
http://linked.open.../riv/druhVysledku
http://linked.open...iv/duvernostUdaju
http://linked.open...titaPredkladatele
http://linked.open...dnocenehoVysledku
  • 272344
http://linked.open...ai/riv/idVysledku
  • RIV/00216208:11320/10:10049905
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • classes; annihilator; their; determined; Modules (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...odStatuVydavatele
  • GB - Spojené království Velké Británie a Severního Irska
http://linked.open...ontrolniKodProRIV
  • [F24E8C8CABD1]
http://linked.open...i/riv/nazevZdroje
  • Journal of the London Mathematical Society
http://linked.open...in/vavai/riv/obor
http://linked.open...ichTvurcuVysledku
http://linked.open...cetTvurcuVysledku
http://linked.open...vavai/riv/projekt
http://linked.open...UplatneniVysledku
http://linked.open...v/svazekPeriodika
  • 2
http://linked.open...iv/tvurceVysledku
  • Trlifaj, Jan
  • Breaz, Simion
http://linked.open...ain/vavai/riv/wos
  • 000273892800012
http://linked.open...n/vavai/riv/zamer
issn
  • 0024-6107
number of pages
http://localhost/t...ganizacniJednotka
  • 11320
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