Elasticity of $A+XB[X]$ when $A\subset B$ is a minimal extension of integral domains
Colloquium Mathematicum, Tome 122 (2011) no. 1, pp. 11-19
Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences
We investigate the elasticity of atomic domains of the form $\Re =A+XB[X]$, where $X$ is an indeterminate, $A$ is a local domain that is not a field, and $A\subset B$ is a minimal extension of integral domains. We provide the exact value of the elasticity of $\Re $ in all cases depending the position of the maximal ideals of $B$. Then we investigate when such domains are half-factorial domains.
Keywords:
investigate elasticity atomic domains form where indeterminate local domain field subset minimal extension integral domains provide exact value elasticity cases depending position maximal ideals investigate domains half factorial domains
Affiliations des auteurs :
Ahmed Ayache 1 ; Hanen Monceur 2
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author = {Ahmed Ayache and Hanen Monceur},
title = {Elasticity of $A+XB[X]$ when $A\subset B$ is a minimal extension of integral domains},
journal = {Colloquium Mathematicum},
pages = {11--19},
publisher = {mathdoc},
volume = {122},
number = {1},
year = {2011},
doi = {10.4064/cm122-1-2},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/cm122-1-2/}
}
TY - JOUR AU - Ahmed Ayache AU - Hanen Monceur TI - Elasticity of $A+XB[X]$ when $A\subset B$ is a minimal extension of integral domains JO - Colloquium Mathematicum PY - 2011 SP - 11 EP - 19 VL - 122 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/articles/10.4064/cm122-1-2/ DO - 10.4064/cm122-1-2 LA - en ID - 10_4064_cm122_1_2 ER -
%0 Journal Article %A Ahmed Ayache %A Hanen Monceur %T Elasticity of $A+XB[X]$ when $A\subset B$ is a minimal extension of integral domains %J Colloquium Mathematicum %D 2011 %P 11-19 %V 122 %N 1 %I mathdoc %U http://geodesic.mathdoc.fr/articles/10.4064/cm122-1-2/ %R 10.4064/cm122-1-2 %G en %F 10_4064_cm122_1_2
Ahmed Ayache; Hanen Monceur. Elasticity of $A+XB[X]$ when $A\subset B$ is a minimal extension of integral domains. Colloquium Mathematicum, Tome 122 (2011) no. 1, pp. 11-19. doi: 10.4064/cm122-1-2
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