Local Dimension of Coatomic Modules

REFERENCES

• Facchini , A. ( 1998 ). Module Theory. Endomorphism Rings and Direct Sum Decompositions in Some Classes of Modules . Basel : Birkhäuser Verlag .
   Google Scholar
• Goodearl , K. R. ( 1987 ). Surjective endomorphisms of finitely generated modules . Comm. Algebra 15 : 589 – 609 .
   Web of Science ®Google Scholar
• Güngöroglu , G. ( 1998 ). Coatomic modules. Far East J. Math. Sci. Special Vol., Part II:153–162 .
   Google Scholar
• Krull , W. ( 1938 ). Dimensions theorie in Stellenringen . J. Reine Angew. Math. 179 : 204 – 226 .
   Google Scholar
• Lam , T. Y. ( 2001 ). A First Course in Noncommutative Rings . Graduate Texts in Mathematics , Vol. 131 . New York : Springer-Verlag .
   Google Scholar
• Lam , T. Y. ( 1998 ). Lectures on Modules and Rings . Graduate Texts in Mathematics , Vol. 139 . New York : Springer-Verlag .
   Google Scholar
• Nazemian , Z. , Ghorbani , A. , Behboodi , M. ( 2014 ). Uniserial dimension of modules . J. Algebra 399 : 894 – 903 .
   Web of Science ®Google Scholar
• Ribenboim , P. ( 1969 ). Rings and Modules . Tracts in Matematics , Vol. 24 . New York : Interscience Publishers .
   Google Scholar
• Stoll , R. R. ( 1961 ). Set Theory and Logic . New York : Dover Publication, Inc .
   Google Scholar
• Wisbauer , R. ( 1991 ). Foundations of Module and Ring Theory . Philadelphia : Gordon and Breach .
   Google Scholar
• Zariski , O. ( 1943 ). Foundations of a general theory of birational correspondences . Trans. Amer. Math. Soc. 53 ( 3 ): 490 – 542 .
   Google Scholar
• Communicated by A. Facchini.
   Google Scholar