For an atomic domain , its elasticity is defined by : . We study the elasticity of one-dimensional noetherian domains by means of the more subtle invariants. We study the elasticity of one-dimensional noetherian domains by means of the more subtle invariants defined by : . As a main result we characterize all orders in algebraic number fields having finite elasticity. On the way, we obtain a series of results concerning the invariants and for monoids and integral domains which are of independent interest.
L'élasticité d'un anneau d'intégrité atomique est définie par : . Nous étudions ici l'élasticité des anneaux d'intégrité noethériens au moyen des invariants plus fins. Nous étudions ici l'élasticité des anneaux d'intégrité noethériens au moyen des invariants plus fins définis par : . Le résultat principal que nous donnons permet de caractériser les anneaux d'entiers des corps de nombres qui ont une élasticité finie. Chemin faisant nous obtenons une série de résultats sur les invariants et des monoïdes et des anneaux d'intégrité qui ont un intérêt propre.
@article{JTNB_1995__7_2_367_0, author = {Halter-Koch, Franz}, title = {Elasticity of factorizations in atomic monoids and integral domains}, journal = {Journal de th\'eorie des nombres de Bordeaux}, pages = {367--385}, publisher = {Universit\'e Bordeaux I}, volume = {7}, number = {2}, year = {1995}, mrnumber = {1378586}, zbl = {0844.11068}, language = {en}, url = {http://archive.numdam.org/item/JTNB_1995__7_2_367_0/} }
TY - JOUR AU - Halter-Koch, Franz TI - Elasticity of factorizations in atomic monoids and integral domains JO - Journal de théorie des nombres de Bordeaux PY - 1995 SP - 367 EP - 385 VL - 7 IS - 2 PB - Université Bordeaux I UR - http://archive.numdam.org/item/JTNB_1995__7_2_367_0/ LA - en ID - JTNB_1995__7_2_367_0 ER -
Halter-Koch, Franz. Elasticity of factorizations in atomic monoids and integral domains. Journal de théorie des nombres de Bordeaux, Volume 7 (1995) no. 2, pp. 367-385. http://archive.numdam.org/item/JTNB_1995__7_2_367_0/
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