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Original Articles

Almost Splitting Sets and AGCD Domains

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Pages 147-158 | Received 01 Aug 2002, Published online: 10 Oct 2011

References

  • Anderson , D. D. and Zafrullah , M. 1991 . Almost Bézout domains . J. Algebra , 142 : 285 – 309 .
  • Anderson , D. D. and Zafrullah , M. 2001 . Splitting sets in integral domains . Proc. Amer. Math. Soc. , 129 : 2209 – 2217 .
  • Anderson , D. D. , Anderson , D. F. and Zafrullah , M. 1991a . Splitting the t-class group . J. Pure Appl. Algebra , 74 : 17 – 37 .
  • Anderson , D. D. , Anderson , D. F. and Zafrullah , M. 1991b . Rings between D[X] and K[X] . Houston J. Math. , 17 : 109 – 129 .
  • Anderson , D. D. , Anderson , D. F. and Zafrullah , M. 1992a . Atomic domains in which almost all atoms are prime . Comm. Algebra , 20 : 1447 – 1462 .
  • Anderson , D. D. , Mott , J. L. and Zafrullah , M. 1992b . Finite character representations for integral domains . Boll. Un. Mat. Ital. B (7) , 6 : 613 – 630 .
  • Anderson , D. D. , Anderson , D. F. and Zafrullah , M. 2001 . The ring D + XD S [X] and t-splitting sets . Arab. J. Sci. Eng. Sect. C Theme Issues , 26 : 3 – 16 .
  • Costa , D. , Mott , J. L. and Zafrullah , M. 1978 . The construction D + XD S [X] . J. Algebra , 53 : 423 – 439 .
  • Dumitrescu , T. and Zafrullah , M. 2002 . LCM-splitting sets in some ring extensions . Proc. Amer. Math. Soc. , 130 : 1639 – 1644 .
  • Dumitrescu , T. , Lequain , Y. , Mott , J. L. and Zafrullah , M. 2001 . Almost GCD domains of finite t-character . J. Algebra , 245 : 161 – 181 .
  • Hedstrom , J. and Houston , E. 1980 . Some remarks on star-operations . J. Pure Appl. Algebra , 18 : 37 – 44 .
  • Mott , J. L. 1974 . Convex directed subgroups of a group of divisibility . Canad. J. Math. , 26 : 532 – 542 .
  • Mott , J. L. and Schexnayder , M. 1976 . Exact sequences of semi-value groups . J. Reine Angew. Math. , 283/284 : 388 – 401 .
  • Uda , H. 1983 . LCM-stableness in ring extensions . Hiroshima Math. J. , 13 : 357 – 377 .
  • Zafrullah , M. 1985 . A general theory of almost factoriality . Manuscripta Math. , 51 : 29 – 62 .
  • Zafrullah , M. 1988 . The D + XD S [X] construction from GCD-domains . J. Pure Appl. Algebra , 50 : 93 – 107 .
  • #Communicated by A. Facchini.

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