If There Is an Exactly Λ-free Abelian Group Then There Is an Exactly Λ-separable One in Λ Sh521
نویسنده
چکیده
We give a solution stated in the title to problem 3 of part 1 of the problems listed in the book of Eklof and Mekler [EM],(p.453). There, in pp. 241-242, this is discussed and proved in some cases. The existence of strongly λ-free ones was proved earlier by the criteria in [Sh:161] in [MkSh:251]. We can apply a similar proof to a large class of other varieties in particular to the variety of (non-commutative) groups. I thank Alice Leonhardt for the beautiful typing Typed December 12/93 Done Fall ’93;§2 done 28 (+1) Feb.94 last revision 3/13/95 Typeset by AMS-TEX 1 5 2 1 r e v i s i o n : 1 9 9 5 0 3 1 0 m o d i f i e d : 1 9 9 5 0 8 0 3 2 SAHARON SHELAH
منابع مشابه
If there is an exactly λ-free abelian group then there is an exactly λ-separable one
We give a solution stated in the title to problem 3 of part 1 of the problems listed in the book of Eklof and Mekler [EM],(p.453). There, in pp. 241-242, this is discussed and proved in some cases. The existence of strongly λ-free ones was proved earlier by the criteria in [Sh:161] in [MkSh:251]. We can apply a similar proof to a large class of other varieties in particular to the variety of (n...
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تاریخ انتشار 2011