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Original Articles

When Min(A)−1 is Hausdorff

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Pages 99-108 | Received 09 Feb 2011, Published online: 04 Jan 2013

REFERENCES

  • Bhattacharjee , P. ( 2009 ). Minimal prime element space of an algebric frame. Dissertation, Bowling Green State University .
  • Bhattacharjee , P. ( 2012 ). Two spaces of minimal primes . J. Alg. and Its Appl. 11 ( 1 ).
  • Bhattacharjee , P. , Drees , K. , McGovern , W. Extensions of commutative rings . Top. Appl. (to appear) .
  • Bigard , A. , Keimel , K. , Wolfenstein , S. (1977). Groupes et Anneaux Riticulés, Lecture Notes in Mathematics. Vol. 608. Springer-Verlag.
  • Darnel , M. ( 1995 ). Theory of Lattice-Ordered Groups . Monographs and Textbooks in Pure and Applied Mathematics . Vol. 187 . New York : Marcel Dekker, Inc .
  • De Marco , G. , Orsatti , A. ( 1971 ). Commutative rings in which every prime ideal is contained in a unique maximal ideal . Proc. Amer. Math. Soc. 30 ( 3 ): 459 – 466 .
  • Dobbs , D. E. , Picavet , G. ( 2003 ). Weak baer going-down rings . Houston J. Math. 29 : 559 – 581 .
  • Gillman , L. , Jerison , M. ( 1976 ). Rings of Continuous Functions . Graduate Texts in Mathametics . Vol. 43 . Berlin–Heidelberg–New York : Springer Verlag .
  • Gilmer , R. ( 1975 ). Polynomial rings over a commutative von neumann regular ring . Proceedings of the A. M. S. 49 ( 2 ): 294 – 296 .
  • Glaz , S. ( 1989 ). Commutative Coherent Rings . Lecture Notes in Math . Vol. 1371 . Berlin : Springer-Verlag .
  • Hager , A. W. , Martinez , J. ( 1993 ). Fraction-dense algebras and spaces . Candian Journal of Mathematics 45 ( 5 ): 977 – 996 .
  • Henriksen , M. , Jerison , M. ( 1965 ). The space of minimal prime ideals of a commutative ring . Trans. A. M. S. 115 : 110 – 130 .
  • Henriksen , M. , Woods , R. G. ( 2004 ). Cozero complemented spaces; when the space of minimal prime ideals of a C(X) is compact . Top. Appl. 141 ( 1–3 ): 147 – 170 .
  • Huckaba , J. ( 1988 ). Commutative Rings with Zero Divisors . Monographs and Textbooks in Pure and Applied Math . Vol. 117 . New York : Marcel Dekker .
  • Iberkleid , W. , McGovern , W. ( 2009 ). A natural equivalence for the category of coherent frames . Alg. Univers. 62 : 247 – 258 .
  • Knox , M. , Levy , R. , McGovern , W. Wm. , Shapiro , J. ( 2008 ). Generalizations of complemented rings with applications to rings of functions . J. Alg. and Appl. 7 ( 6 ): 1 – 24 .
  • Lambek , J. ( 1976 ). Lectures on Rings and Modules. , 2nd ed. New York : Chelsea Publishing Co .
  • Levy , R. , Shapiro , J. ( 2005 ). Rings of quotients of rings of functions . Top. Appl. 146/147 : 253 – 265 .
  • Marconi , U. ( 1984 ). On the Baer rings . J. Pure Appl. Alg. ( 2 ): 159 – 161 .
  • Matlis , E. ( 1983 ). The minimal prime spectrum of a reduced ring . Ill. J. Math. 27 ( 3 ): 353 – 391 .
  • McGovern , W. Wm. ( 2006 ). Neat rings . J. Pure Appl. Alg. 205 : 243 – 265 .
  • Communicated by S. Bazzoni.

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