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Original Articles

Ideals, Natural Classes, and Functors

Pages 2240-2248 | Received 02 Jun 2009, Published online: 14 Jun 2010

REFERENCES

  • Dauns , J. ( 1989 ). Torsion free modules . Ann. Mat. Pure Appl. 154 : 49 – 81 .
  • Dauns , J. ( 1991 ). Torsion free types . Fund. Math. 139 : 99 – 117 .
  • Dauns , J. ( 1992 ). Module classifying functors . Czechoslovak Math. J. 42 : 741 – 756 .
  • Dauns , J. ( 1996 ). Unsaturated Classes of Modules . Abelian Groups and Modules (Colorado Springs, CO, 1995), Lecture Notes in Pure and Appl. Math., 182 . New York : Dekker , pp. 211 – 225 .
  • Dauns , J. ( 1997 ). Module types . Rocky Mountain J. Math. 27 ( 2 ): 503 – 557 .
  • Dauns , J. ( 1999 ). Lattices of classes of modules . Comm. Algebra 27 : 4363 – 4387 .
  • Dauns , J. ( 2003 ). Natural classes and torsion theories . J. Alg. Appl. 2 ( 1 ): 85 – 99 .
  • Dauns , J. ( 2009 ). Over Rings and Functors, Advances in Ring Theorey, Trends in Mathematics . Basel , Switzerland : Birikhauser Verlag , pp. 113 – 129 .
  • Dauns , J. , Zhou , Y. ( 2000 ). Sublattices of the lattice of pre-natural classes . J. Algebra 231 : 138 – 162 .
  • Dauns , J. , Zhou , Y. ( 2005 ). Type submodules and direct sum decompositions of modules . Rocky Mountain J. Math. 35 ( 1 ): 83 – 104 .
  • Dauns , J. , Zhou , Y. ( 2006 ). Classes of Modules . Pure and Applied Math., A Series of Math. Monographs and Textbooks, No. 281 . New York : Chapman-Hall CRC Press , pp. 1 – 28 .
  • Goodearl , K. R. ( 1976 ). Ring Theory . New York : Marcel Dekker , pp. 1 – 206 .
  • Lam , T. Y. ( 1999 ). Lectures on Rings and Modules . Graduate Texts in Math. 189 , New York : Springer .
  • Lambek , J. ( 1966 ). Lectures on Rings and Modules . Waltham , Massachusetts : Blaisdell Publishing Co .
  • Page , S. , Zhou , Y. ( 1994 ). On direct sums of injective modules and chain conditions . Canad. J. Math. 46 : 405 – 413 .
  • Wisbauer , R. ( 1991 ). Foundations of Module and Ring Theory . Philadelphia : Gordon Breach Science Publishers .
  • Zhou , Y. ( 1995 ). Direct sums of M-injective modules and module classes . Comm. Algebra 23 : 927 – 940 .
  • Zhou , Y. ( 1997 ). Relative chain conditions and module classes . Comm. Algebra 25 ( 2 ): 543 – 557 .
  • Zhou , Y. ( 1997 ). Nonsingular rings with finite type dimension . In: Advances in Ring Theory . Boston : Birkhäuser , pp. 323 – 333 .
  • Zhou , Y. ( 1999 ). Decomposing modules into direct sums of submodules with types . J. Pure Appl. Algebra 138 : 83 – 97 .
  • Zhou , Y. ( 1999 ). The lattice of pre-natural classes of modules . J. Pure Appl. Algebra 140 ( 2 ): 191 – 207 .
  • Communicated by T. Albu.

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