48
Views
2
CrossRef citations to date
0
Altmetric
Original Articles

AN ARITHMETICAL CHARACTERIZATION OF FINITE ELEMENTARY 2-GROUPS

&
Pages 1249-1257 | Received 01 Oct 1999, Published online: 20 Aug 2006

REFERENCES

  • Anderson , D. F. and Pruis , P. 1991 . Length Functions on Integral Domains . Proc. Amer. Math. Soc. , 113 : 933 – 937 .
  • Carlitz , L. 1960 . A Characterization of Algebraic Number Fields with Class Number Two . Proc. Amer. Math. Soc. , 11 : 391 – 392 .
  • Chapman , S. , Krause , U and Oeljeklaus , E. 2000 . Monoids Determined by a Homogenous Linear Diophantine Equation and the Half-Factorial Property . J. Pure Appl. algebra , 151 : 107 – 133 .
  • Chapman , S. and Smith , W. W. 1990 . On a Characterization of Algebraic Number Fields of Class Number Less than Three . J. algebra , 135 : 361 – 366 .
  • Chapman , S. and Smith , W. W. 1992 . On the HFD, CHFD and k-HFD Properties in Dedekind Domains . Comm. algebra , 20 : 1955 – 1987 .
  • Czogala , A. 1981 . Arithmetic Characterization of Algebraic Number Fields with Small Class Numbers . Math. Z. , 176 : 247 – 253 .
  • DiFranco , F. and Pace , F. 1985 . Arithmetical Characterization of Rings of Algebraic Integers with Class Number Three and Four . Boll. Un. Mat. Ital. Alg. e Geom. Ser. VI , 4D : 63 – 69 .
  • Feng , K. 1985 . Arithmetic Characterization of Algebraic Number Fields with Class Group Given . ACTA Math. Sinica , 1 : 47 – 54 .
  • Geroldinger , A. 1990 . Arithmetical Characterizations of Divisor Class Groups . Arch. Math. , 54 : 455 – 464 .
  • Geroldinger , A. 1992 . Arithmetical Characterizations of Divisor Class Groups, II . Acta Math. Univ. Comenian (N.S.) , 61 : 193 – 208 .
  • Gilmer , R. , Heinzer , W. and Smith , W. W. 1996 . On the Distribution of Prime Ideals Within the Ideal Class Group . Houston J. Math. , 22 : 51 – 59 .
  • Halter-Koch , F. 1990 . Halbgruppen mit Divisorentheorie . Exposition Math. , 8 : 27 – 66 .
  • Halter-Koch , F. 1993 . On the Asymptotic Behaviour of the Number of Distinct Factorizations into Irreducibles . Ark. Mat. , 31 : 297 – 305 .
  • Halter-Koch , F . 1997 . “ Finitely Generated Monoids, Finitely Primary Monoids, and Factorization Properties of Integral Domains. Factorization in Integral Domains ” . In Lecture Notes in Pure and Applied Mathematics Vol. 189 , 31 – 72 . Marcel Dekker .
  • Kaczorowski , J. 1981 . A Pure Arithmetical Characterization of Certain Fields with Given Class Group . Colloq. Math. , 45 : 327 – 330 .
  • Kaczorowski , J. 1984 . A Pure Arithmetical Definition of the Class Group . Colloq. Math. , 48 : 265 – 267 .
  • Krause , U. 1984 . A Characterization of Algebraic Number Fields with Cyclic Class Group of Prime Power Order . Math. Z. , 186 : 143 – 148 .
  • Rush , D. 1983 . An Arithmetical Characterization of Algebraic Number Fields with Given Class Group . Math. Proc. Cambridge Phil. Soc. , 94 : 23 – 28 .
  • Salce , L. and Zanardo , P. 1982 . Arithmetical Characterization of Rings of Algebraic Integers with Cyclic Ideal Class Group . Boll. Un. Mat. Ital. Ser. VI , 1D : 117 – 122 .

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.