Nil semigroups of endomorphism rings of modules with chain conditions

References

• Anderson , F.W. and Fuller , Kent R. 1974 . Rings and Categories of Modules , Vol. GTM 13 , Springer-Verlag .
   Google Scholar
• Facchini , A. 1998 . Module Theory Endomorphism rings and direct sum decompositions in some classes of modules , Birkhauser .
   Google Scholar
• Fisher , J.W. 1970 . On the nilpotency of nil subrings . Can. J. Math , : 1211 – 1216 .
   Google Scholar
• Fisher , J.W. 1972 . Nil subrings of endomorphism rings of modules . Proc. Amer. Math. Soc , 34 : 75 – 78 .
   Web of Science ®Google Scholar
• Golan , J.S. 1986 . Torsion Theories , Vol. 29 , Pitman Monograph .
   Google Scholar
• Goldie , A.W. and Small , L.W. 1973 . A note on rings of endomorphisms . J. Alg , 24 : 392 – 395 .
   Google Scholar
• Grzeszczuk , P. and Puczylowski , E.R. 1984 . On Goldie and dual Goldie dimensions . J. Pure Appl. Algebra , 31 : 47 – 54 .
   Web of Science ®Google Scholar
• Gupta , R.N. 1985 . Endomorphism ring of Artinian modules . Indian J. Pure Appl. Math , 16 : 1478 – 1480 .
   Google Scholar
• Harada , M. 1970 . On semi-simple Abelian categories . Osaka J. Math , 7 : 89 – 95 .
   Google Scholar
• Harada , M. and Ishii , T. 1972 . On endomorphism rings of Noetherian quasi- injective modules . Osaka J. Math , 9 : 217 – 223 .
   Google Scholar
• Nastasescu , C. and Van Osytaeyen , F. 1987 . Dimensions of Ring Theory, D , Holland : Reidel Publishing Company .
   Google Scholar
• Procesi , C. and Small , L.W. 1968 . Endomorphism rings of modules over PI algebras . Math. Z , 106 : 178 – 180 .
   Google Scholar
• Quanshui , Wu and Golan , J.S. 1990 . On the endomorphism ring of a module with relative chain conditions . Comm. Alg , l8 : 2595 – 2609 .
   Google Scholar
• Rowen , L.H. 1988 . Ring Theory I , Academic Press .
   Google Scholar
• Schulz , R. 1982 . The endomorphism ring of an Artinian module whose homo- geneous length is finite . Proc. Amer. Math. Soc , 86 : 209 – 210 .
   Google Scholar
• Smal⊘ , S.O. 1981 . A limit on the Loewy length of the endomorphism ring of a module of finite length . Proc Amer. Math. Soc , 81 : 164 – 166 .
   Google Scholar
• Wisbauer , R. 1991 . Foundations of Module and Ring Theory , Gordon and Breach Science Publishers .
   Google Scholar