Multiplication rings and graded rings

References

• Anderson , D.D. and Matijevic , J. 1979 . Graded π-rings, Can . J. Math , 3 : 449 – 457 .
   Web of Science ®Google Scholar
• Beattie , M. , Dǎscǎlescu , S. and Nǎstǎsescu , C. 1995 . A note on semilocal graded rings . Rev. Roumaine Math. Pures Appl , 3 : 253 – 258 .
   Google Scholar
• Chouinard , L.G. , Hardy , B.R. and Shores , T.S. 1980 . Arithmetical and Semi-hereditary Rings . Comm. in Algebra , 8 ( 17 ) : 1593 – 1652 .
   Web of Science ®Google Scholar
• Decruynaere , F. and Jespers , E. 1990 . Dedekind domains and graded rings . Proceedings of the Amer. Math. Soc , 110 ( 1 ) : 21 – 26 .
   Web of Science ®Google Scholar
• Decruynaere , F. and Jespers , E. 1991 . Graded commutative principal ideal rings . Bull. Soc. Math. Belg , 43 ( 2 ) : 143 – 150 . Ser. B
   Google Scholar
• Decruynaere , F. and Jespers , E. 1992 . Prüfer domains and graded rings . J. Algebra , 150 ( 2 ) : 308 – 320 .
   Web of Science ®Google Scholar
• Erdogdu , V. 1989 . Regular multiplication rings . J. of Pure and Applied Algebra , 59 ( 2 ) : 55 – 59 .
   Google Scholar
• Erdogdu , V. 1988 . Multiplication modules which are distributive . J. Pure and Applied Algebra , 54 ( 2 ) : 209 – 213 .
   Web of Science ®Google Scholar
• Escoriza , J. and Torrecillas , B. 1998 . Multiplication Objects in Commutative Grothendieck Categories . Comm. in Algebra , 26 ( 6 ) : 1867 – 1883 .
   Web of Science ®Google Scholar
• Gilmer , R.W. 1984 . Commutative Semigroup Rings , Chicago : The University of Chicago Press .
   Google Scholar
• Griffin , M. 1974 . Multiplication rings via their total quotient rings . Can. J. Math , XXVI ( 2 ) : 430 – 449 .
   Google Scholar
• Karpilovsky , G. 1985 . Protective representations of finite groups , New York : Marcel Dekker .
   Google Scholar
• Larsen , M.D. and Mccarthy , P.J. 1971 . Multiplicative theory of ideals , New York : Academic Press .
   Google Scholar
• Le Bruyn , L. , Van Den Bergh , M. and Van Oystaeyen , F. 1988 . Graded Orders , Birkhäuser, Boston .
   Google Scholar
• Mott , J.L. 1964 . Equivalent conditions for a ring to be a multiplication ring . Can. J. Math , 16 : 429 – 434 .
   Google Scholar
• Naoum , A.G. and Al-Alwan , F.H. 1996 . Dense submodules of multiplication modules . Comm. in Algebra , 24 ( 2 ) : 413 – 424 .
   Web of Science ®Google Scholar
• Nǎstǎsescu , C. 1983 . Strongly graded rings of finite groups . Comm. in Algebra , 11 ( 10 ) : 1033 – 1071 .
   Web of Science ®Google Scholar
• Nǎstǎsescu , C. and Van Oystaeyen , F. 1982 . Graded rings theory , Amsterdam : North-Holland .
   Google Scholar
• Nauwelaerts E. Van Oystaeyen F. Generalized twisted group rings of finite groups Prepint
   Google Scholar
• Smith , P.F. 1994 . Multiplication modules and protective modules . Periodica Math. Hungarica , 29 ( 2 ) : 163 – 168 .
   Google Scholar
• Van Oystaeyen , F. and Van Deuren , J.P. Arithmetically graded rings . Ring Theory ( Antwerp1980 ), Proceedings . Vol. 825 , pp. 279 – 284 . Lecturer Notes in Math
   Google Scholar
• Van Oystaeyen , F. 1983 . Generalized Rees Rings and Arithmetical Graded Rings . J. of Algebra , 82
   Google Scholar
• Van Oystaeyen , F. 1984 . Note on graded von Neumann regular rings . Rev. Roumaine Math. Pures Appl , 29 ( 3 ) : 263 – 271 .
   Google Scholar