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  • In the class of all exact torsion theories the torsionfree classes are cover (precover) classes if and only if the classes of torsionfree relatively injective modules or relatively exact modules are cover (precover) classes, and this happens exactly if and only if the torsion theory is of finite type. Using the transfinite induction in the second half of the paper a new construction of a torsionfree relatively injective cover of an arbitrary module with respect to Goldie´s torsion theory of finite type is presented.
  • In the class of all exact torsion theories the torsionfree classes are cover (precover) classes if and only if the classes of torsionfree relatively injective modules or relatively exact modules are cover (precover) classes, and this happens exactly if and only if the torsion theory is of finite type. Using the transfinite induction in the second half of the paper a new construction of a torsionfree relatively injective cover of an arbitrary module with respect to Goldie´s torsion theory of finite type is presented. (en)
Title
  • On torsionfree classes which are not precover classes
  • On torsionfree classes which are not precover classes (en)
skos:prefLabel
  • On torsionfree classes which are not precover classes
  • On torsionfree classes which are not precover classes (en)
skos:notation
  • RIV/60460709:41310/08:25042!RIV10-MSM-41310___
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • P(GA201/06/0510), S, Z(MSM0021620839)
http://linked.open...iv/cisloPeriodika
  • 2
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
  • 384815
http://linked.open...ai/riv/idVysledku
  • RIV/60460709:41310/08:25042
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • hereditary torsion theory, exact, noetherian and perfect torsion theory, Goldie´s torsion theory, precover class, cover class, precover and cover of a module (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...odStatuVydavatele
  • CZ - Česká republika
http://linked.open...ontrolniKodProRIV
  • [4B99983C4188]
http://linked.open...i/riv/nazevZdroje
  • Czechoslovak Mathematical Journal
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
  • 58
http://linked.open...iv/tvurceVysledku
  • Bican, Ladislav
http://linked.open...n/vavai/riv/zamer
issn
  • 0011-4642
number of pages
http://localhost/t...ganizacniJednotka
  • 41310
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