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Communications in Algebra Volume 27, 1999 - Issue 8
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Original Articles

On commutative noetherian rings which satisfy the generalized radical formula

Shing Hing Man Department of mathematics, National University of Singapore, 10 kent Ridge Cresent, 119260, Singapore
Pages 4075-4088 | Received 01 May 1998, Published online: 27 Jun 2007

References

  • Abu-Saymeh , S. 1995 . On dimensions of finitely generated modules . Comm. Algebra , 23 : 1131 – 1144 .
  • Jenkins , J. and Smith , P.F. 1992 . On the prime radical of a module over a commutative ring . Comm. Algebra , 20 : 3593 – 3602 .
  • Leung , K.H. and Man , S.H. 1997 . On commutative Noetherian rings which satisfy the radical formula . Glasgow Math. J , 39 : 285 – 293 .
  • Man , S.H. 1996 . One dimensional domains which satisfy the radical formula are Dedekind domains . Arch. Math , 66 : 276 – 279 .
  • Man , S.H. 1998 . On commutative Noetherian rings which have the s.p.a.r. property . Arch. Math , 70 : 31 – 40 .
  • McCasland , R.L. and Moore , M.E. 1991 . On radicals of submodules . Comm. Algebra , 19 : 1327 – 1341 .
  • McCasland , R.L. and Smith , P.F. 1993 . Prime submodules of Noetherian modules . Rocky Mountain J. Math , 23 : 1041 – 1062 .
  • McLean , K.R. 1982 . Local rings with bounded ideals . J. Algebra , 74 : 328 – 332 .

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