On the algebraic and arithmetical structure of generalized polynomial algebras
Halter-Koch, Franz
Rendiconti del Seminario Matematico della Università di Padova, Tome 90 (1993), p. 121-140 / Harvested from Numdam
Publié le : 1993-01-01
@article{RSMUP_1993__90__121_0,
     author = {Halter-Koch, Franz},
     title = {On the algebraic and arithmetical structure of generalized polynomial algebras},
     journal = {Rendiconti del Seminario Matematico della Universit\`a di Padova},
     volume = {90},
     year = {1993},
     pages = {121-140},
     mrnumber = {1257136},
     zbl = {0795.13008},
     language = {en},
     url = {http://dml.mathdoc.fr/item/RSMUP_1993__90__121_0}
}
Halter-Koch, Franz. On the algebraic and arithmetical structure of generalized polynomial algebras. Rendiconti del Seminario Matematico della Università di Padova, Tome 90 (1993) pp. 121-140. http://gdmltest.u-ga.fr/item/RSMUP_1993__90__121_0/

[1] D.D. Anderson - D.F. Anderson - M. Zafrullah, Factorization in integral domains, J. Pure Appl. Algebra, 69 (1990), pp. 1-19. | MR 1082441 | Zbl 0727.13007

[2] B. Ballet, Diviseurs dans les anneaus des séries formelles en une infinité d'indéterminées, Canad. Math. Bull, 27 (1984), pp. 301-308. | MR 749636 | Zbl 0583.13011

[3] N. Bourbaki, Algèbre, chap. 1 à 3, Hermann, Paris (1970); chap. 4 à 7, Masson, Paris (1966). | MR 274237

[4] N. Bourbaki, General Topology, Part 1 and 2, Hermann, Paris (1966). | Zbl 0145.19302

[5] N. Bourbaki, Theory of Sets, Hermann, Paris (1968). | MR 240238

[6] E.D. Cashwell - C.J. Everett, Formal power series, Pac. J. Math., 13 (1963), pp. 45-64. | MR 155852 | Zbl 0117.02603

[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. | MR 265798 | Zbl 0187.39903

[8] R.M. Fossum, The Divisor Class Group of a Krull Domain, Springer (1973). | MR 382254 | Zbl 0256.13001

[9] R. Gilmer, Power series over a Krull domain, Pacific J. Math., 29 (1969), pp. 543-549. | MR 245571 | Zbl 0179.34502

[10] F. Halter-Koch, Finiteness theorem for factorizations, Semigroup Forum, 44 (1992), pp. 112-117. | MR 1138690 | Zbl 0751.20046

[11] F. Halter - KOCH, On products of additive functions (a third approach), Aequat. Math., 45 (1993), p. 281-284. | MR 1212392 | Zbl 0777.12001

[12] F. Halter-Koch - L. Reich - J. Schwaiger, On products of additive functions, Aequat. Math., 45 (1993), p. 83-88. | MR 1201399 | Zbl 0773.39006

[13] K.H. Heuvers, Functional equations which characterize n-forms and homogeneous functions of degree n, Aequat. Math., 21 (1980), pp. 319-322. | MR 615807 | Zbl 0479.39004

[14] S. Lang, Algebra, 2nd ed., Addison-Wesley (1984). | MR 783636

[15] H. Nishimura, On the unique factorization theorem for formal power series, J. Math. Kyoto Univ., 7 (1967), pp. 151-160. | MR 225766 | Zbl 0159.33401