ℱ-Noetherian and Weakly Exact Torsion Theories

REFERENCES

• Anderson , F. W. , Fuller , K. R. ( 1974 ). Rings and Categories of Modules . Graduate Texts in Mathematics . Vol. 13 . Springer-Verlag .
   Google Scholar
• Bican , L. ( 2004 ). Torsionfree Precovers . Contributions to general algebra 15, Proceedings of the Klagenfurt Conference 2003 (AAA 66) . Vol. 15 . Klagenfurt : Verlag Johannes Heyn , pp. 1 – 6 .
   Google Scholar
• Bican , L. ( 2003 ). Relatively exact modules . Comment. Math. Univ. Carolinae 44 : 569 – 574 .
   Google Scholar
• Bican , L. ( 2005 ). On precover classes . Ann. Univ. Ferrara – Sez. VII -Sc. Mat. LI : 61 – 67 .
   Google Scholar
• Bican , L. ( 2008 ). On torsionfree classes which are not precover classes . Czech. Math. J. 58 ( 133 ): 561 – 568 .
   Web of Science ®Google Scholar
• Bican , L. ( 2008 ). The Lattice of Torsionfree Precover Classes . Models, Modules and Abelian Groups, de Gruyter , pp. 415 – 419 .
   Google Scholar
• Bican , L. ( 2009 ). Some properties of precovers and covers . Springer Verlag Algebra Represention Theory 12 : 311 – 318 .
   Web of Science ®Google Scholar
• Bican , L. , Torrecillas , B. ( 2001 ). On covers . J. Algebra 236 : 645 – 650 .
   Web of Science ®Google Scholar
• Bican , L. , Torrecillas , B. ( 2003 ). Precovers . Czech. Math. J. 53 ( 128 ): 191 – 203 .
   Google Scholar
• Bican , L. , Torrecillas , B. ( 2002 ). On the existence of relative injective covers . Acta Math. Hungar. 95 : 178 – 186 .
   Google Scholar
• Bican , L. , Torrecillas , B. ( 2001 ). Relative exact covers . Comment. Math. Univ. Carolinae 42 : 477 – 487 .
   Google Scholar
• Bican , L. , Kepka , T. , Němec , P. ( 1982 ). Rings, Modules, and Preradicals . New York : Marcel Dekker .
   Google Scholar
• Golan , J. ( 1986 ). Torsion Theories . Pitman Monographs and Surveys in Pure and Applied Matematics , Vol. 29 . Longman Scientific and Technical .
   Google Scholar
• Golan , J. , Teply , M. ( 1973 ). Torsionfree covers . Israel J. Math. 15 : 237 – 256 .
   Web of Science ®Google Scholar
• Rim , S. H. , Teply , M. L. ( 2000 ). On coverings of modules . Tsukuba J. Math. 24 : 15 – 20 .
   Google Scholar
• Teply , M. L. ( 1969 ). Torsionfree injective modules . Pacif. J. Math. 28 : 441 – 453 .
   Web of Science ®Google Scholar
• Xu , J. ( 1996 ). Flat Covers of Modules . Lecture Notes in Mathematics . Vol. 1634 . Berlin-Heidelberg-New York : Springer Verlag .
   Google Scholar
• Communicated by T. Albu.
   Google Scholar