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 language | English |
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Pages (from-to) | 1043-1058 |
Journal | Rocky Mountain Journal of Mathematics |
Volume | 19 |
Issue number | 4 |
DOIs | |
Publication status | Published - 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