Linear ultrafilters

References

• Bartoszyński , Tomek and Judah , Haim . 1995 . Set Theory,On the structure of the real line , Wellesley , MA : AK Peters . MR93k:03002
   Google Scholar
• Bergman , George M. 1972 . Boolean rings of projection maps . J.London Math.Soc , 4 ( 2 ) : 593 – 598 . MR47 #93
   Google Scholar
• Bergman , George M. 1998 . On k-subspaces of L-vector-spaces . Comm.Alg , 26 ( 9 ) : 4115 – 4124 .
   Web of Science ®Google Scholar
• Bergman George, M. Epimorphisms and monomorphisms in (ModR)filt+cofilt (addendum to ''Linear ultrafilters”by George Bergman and Ehud Hrushovski) 6 unpublished note, available from the author
   Google Scholar
• Booth , David . 1998 . Ultrafilters on a countable set . Annals of Math.Logic , 2 ( 9 ) : 1 – 24 . MR43#3104
   Google Scholar
• Cohn , P.M. 1981 . Universal Algebra , Reidel . MR82j:08001
   Google Scholar
• Cohn , P.M. 1985 . “ Free Rings and their Relations ” . In Math. Soc. Monographs , Vol. 19 , London : Academic Press . 1st ed. MR51#8155.MR 87e: 16006
   Google Scholar
• Cohn , P.M. 1995 . “ Skew fields.Theory of general division rings ” . In Encyclopedia of Mathematics and its Applications , Vol. 57 , Cambridge University Press . MR 97d: 12003
   Google Scholar
• Comfort , W.W. and Negrepontis , S. “ The Theory of Ultrafilters ” . In Grundlehren der math , Wissenschaften : Springer-Verlag . Band 211, (1974).~MR53#135
   Google Scholar
• Jonathan , S. and Golan , S. 1986 . Torsion Theories . Pitman Monographs and Surveys in Pure and Applied Mathematics , 29 MR 88c: 16034
   Google Scholar
• Hales , Alfred W. 1976 . Linear analogues of ultrafilters . Bull.Amer.Math.Soc , 82 : 311 – 313 . MR53#4005
   Web of Science ®Google Scholar
• Hales , Alfred W. 1976 . Ultrafilters and abelian groups . Bull.Amer.Math.Soc , 82 : 554 – 556 . MR55#10579
   Web of Science ®Google Scholar
• Katêtov , Miroslav . 1967 . A theorem on mappings . Comment.Math.U.Carolinae , 8 : 431 – 433 . MR37#4802
   Google Scholar
• Kucera , T.G. and Prest , M. 1992 . Four concepts from geometrical stability theory in modules . J. Symbolic Logic , 57 : 724 – 740 . MR 93h: 03045
   Web of Science ®Google Scholar
• Miller , Andrew W. 1980 . There are no Q-points in Laver’s model for the Borel Conjecture . Proc.Amer.Math.Soc , 78 : 103 – 106 . MR80h:03071
   Web of Science ®Google Scholar
• Orsatti , Adalberto and Rodinò , Nicola . On the endomorphism ring of an infinite dimensional vector space . Abelian Groups and Modules . 1994 , Padova . Edited by: Facchini , A. and Menini , C. pp. 395 – 417 . Kluwer . MR97a: 16060
   Google Scholar
• Passman , Donald S. 1991 . “ A Course in Ring Theory ” . In Mathematics Series , Wadsworth & Brooks/Cole . MR91m:16001
   Google Scholar
• Rodinò , Nicola . 1995 . Simple modules over End(VD) with prescribed annihilator . Comm. Algebra , 23 : 2291 – 2322 . MR 96c: 16038
   Web of Science ®Google Scholar
• Rodinò , Nicola . 1995 . Cyclic modules over End(V_D) whose endomorphism ring is an ultrapower of D , 23 : 7 Preprint
   Google Scholar