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Almost free algebras
Authors:Alan H. Mekler  Saharon Shelah
Affiliation:(1) Department of Mathematics and Statistics, Simon Fraser University, V5A 1S6 Burnaby, B.C., Canada;(2) Institute of Mathematics, The Hebrew University of Jerusalem, 91904 Jerusalem, Israel;(3) Department of Mathematics, Rutgers University, New Brunswick, NJ, USA
Abstract:We deal with the class of cardinalsk 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 }. Research supported by NSERC grant #9848. Prof. Mekler died on June 10, 1992. Publication #366. Research supported by the BSF.
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