Elasticity of A + XB[X] when A ⊂ B is a minimal extension of integral domains

Ahmed Ayache, and Hanen Monceur. "Elasticity of A + XB[X] when A ⊂ B is a minimal extension of integral domains." Colloquium Mathematicae 122.1 (2011): 11-19. <http://eudml.org/doc/284256>.

@article{AhmedAyache2011,
abstract = {We investigate the elasticity of atomic domains of the form ℜ = A + XB[X], where X is an indeterminate, A is a local domain that is not a field, and A ⊂ B is a minimal extension of integral domains. We provide the exact value of the elasticity of ℜ in all cases depending the position of the maximal ideals of B. Then we investigate when such domains are half-factorial domains.},
author = {Ahmed Ayache, Hanen Monceur},
journal = {Colloquium Mathematicae},
keywords = {elasticity},
language = {eng},
number = {1},
pages = {11-19},
title = {Elasticity of A + XB[X] when A ⊂ B is a minimal extension of integral domains},
url = {http://eudml.org/doc/284256},
volume = {122},
year = {2011},
}

TY - JOUR
AU - Ahmed Ayache
AU - Hanen Monceur
TI - Elasticity of A + XB[X] when A ⊂ B is a minimal extension of integral domains
JO - Colloquium Mathematicae
PY - 2011
VL - 122
IS - 1
SP - 11
EP - 19
AB - We investigate the elasticity of atomic domains of the form ℜ = A + XB[X], where X is an indeterminate, A is a local domain that is not a field, and A ⊂ B is a minimal extension of integral domains. We provide the exact value of the elasticity of ℜ in all cases depending the position of the maximal ideals of B. Then we investigate when such domains are half-factorial domains.
LA - eng
KW - elasticity
UR - http://eudml.org/doc/284256
ER -