On the algebraic and arithmetical structure of generalized polynomial algebras

Franz Halter-Koch

Rendiconti del Seminario Matematico della Università di Padova (1993)

  • Volume: 90, page 121-140
  • ISSN: 0041-8994

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Halter-Koch, Franz. "On the algebraic and arithmetical structure of generalized polynomial algebras." Rendiconti del Seminario Matematico della Università di Padova 90 (1993): 121-140. <http://eudml.org/doc/108298>.

@article{Halter1993,
author = {Halter-Koch, Franz},
journal = {Rendiconti del Seminario Matematico della Università di Padova},
keywords = {large -form; factorial ring; large polynomial; large power series ring; Krull domain; number of monomials},
language = {eng},
pages = {121-140},
publisher = {Seminario Matematico of the University of Padua},
title = {On the algebraic and arithmetical structure of generalized polynomial algebras},
url = {http://eudml.org/doc/108298},
volume = {90},
year = {1993},
}

TY - JOUR
AU - Halter-Koch, Franz
TI - On the algebraic and arithmetical structure of generalized polynomial algebras
JO - Rendiconti del Seminario Matematico della Università di Padova
PY - 1993
PB - Seminario Matematico of the University of Padua
VL - 90
SP - 121
EP - 140
LA - eng
KW - large -form; factorial ring; large polynomial; large power series ring; Krull domain; number of monomials
UR - http://eudml.org/doc/108298
ER -

References

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  2. [2] B. Ballet, Diviseurs dans les anneaus des séries formelles en une infinité d'indéterminées, Canad. Math. Bull, 27 (1984), pp. 301-308. Zbl0583.13011MR749636
  3. [3] N. Bourbaki, Algèbre, chap. 1 à 3, Hermann, Paris (1970); chap. 4 à 7, Masson, Paris (1966). MR274237
  4. [4] N. Bourbaki, General Topology, Part 1 and 2, Hermann, Paris (1966). Zbl0145.19302
  5. [5] N. Bourbaki, Theory of Sets, Hermann, Paris (1968). MR240238
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  7. [7] D.Z. Djokoci, A representation theorem for (X1 - 1) (X2 - 1) ... (Xn - 1) and its applications, Ann. Polon. Math., 22 (1969), pp. 189-198. Zbl0187.39903MR265798
  8. [8] R.M. Fossum, The Divisor Class Group of a Krull Domain, Springer (1973). Zbl0256.13001MR382254
  9. [9] R. Gilmer, Power series over a Krull domain, Pacific J. Math., 29 (1969), pp. 543-549. Zbl0179.34502MR245571
  10. [10] F. Halter-Koch, Finiteness theorem for factorizations, Semigroup Forum, 44 (1992), pp. 112-117. Zbl0751.20046MR1138690
  11. [11] F. Halter - KOCH, On products of additive functions (a third approach), Aequat. Math., 45 (1993), p. 281-284. Zbl0777.12001MR1212392
  12. [12] F. Halter-Koch - L. Reich - J. Schwaiger, On products of additive functions, Aequat. Math., 45 (1993), p. 83-88. Zbl0773.39006MR1201399
  13. [13] K.H. Heuvers, Functional equations which characterize n-forms and homogeneous functions of degree n, Aequat. Math., 21 (1980), pp. 319-322. Zbl0479.39004MR615807
  14. [14] S. Lang, Algebra, 2nd ed., Addison-Wesley (1984). MR783636
  15. [15] H. Nishimura, On the unique factorization theorem for formal power series, J. Math. Kyoto Univ., 7 (1967), pp. 151-160. Zbl0159.33401MR225766

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