Mixed modules in L

R Gobel, Brendan Goldsmith

Research output: Contribution to journalArticlepeer-review

Abstract

By assuming the set-theoretic hypothesis V = L we show that, for a large class of rings R, there exist, for any regular not weekly compact cardinals K, strongly k-cyclic mixed R-modules having endomorphism algebra isomorphic to the split extension of the R-algebra A by the ideal of bounded endomorphism provided A is free qua R-module and K./Az/
Original languageEnglish
Pages (from-to)1043-1058
JournalRocky Mountain Journal of Mathematics
Volume19
Issue number4
DOIs
Publication statusPublished - 1 Jan 1989

Keywords

  • set-theoretic hypothesis
  • V = L
  • rings
  • regular not weekly compact cardinals
  • strongly k-cyclic mixed R-modules
  • endomorphism algebra
  • split extension
  • R-algebra
  • ideal of bounded endomorphism
  • free R-module

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