Almost free algebras

Alan H. Mekler; Saharon Shelah

doi:10.1007/BF02808203

Almost free algebras

Alan H. Mekler^*
, Saharon Shelah

^*Corresponding author for this work

Einstein Institute of Mathematics

Research output: Contribution to journal › Article › peer-review

7 Scopus citations

Abstract

We deal with the class of cardinals k for which a given variety has an almost free, not free, even not essentially free algebra. The main result is that when enough reflection holds, this behaviour is determined by min{n:n=ω or the variety fail a condition CP_n }.

Original language	English
Pages (from-to)	237-259
Number of pages	23
Journal	Israel Journal of Mathematics
Volume	89
Issue number	1-3
DOIs	https://doi.org/10.1007/BF02808203
State	Published - Oct 1995

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abstract = "We deal with the class of cardinals k for which a given variety has an almost free, not free, even not essentially free algebra. The main result is that when enough reflection holds, this behaviour is determined by min\{n:n=ω or the variety fail a condition CP n \}.",

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Almost free algebras

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