Constructing (Almost) Rigid Rings and a UFD Having Infinitely Generated Derksen and Makar-Limanov Invariants
Canadian mathematical bulletin, Tome 53 (2010) no. 1, pp. 77-86
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An example is given of a UFD which has an infinitely generated Derksen invariant. The ring is “almost rigid” meaning that the Derksen invariant is equal to the Makar-Limanov invariant. Techniques to show that a ring is (almost) rigid are discussed, among which is a generalization of Mason's ABC-theorem.
Finston, David; Maubach, Stefan. Constructing (Almost) Rigid Rings and a UFD Having Infinitely Generated Derksen and Makar-Limanov Invariants. Canadian mathematical bulletin, Tome 53 (2010) no. 1, pp. 77-86. doi: 10.4153/CMB-2010-017-8
@article{10_4153_CMB_2010_017_8,
author = {Finston, David and Maubach, Stefan},
title = {Constructing {(Almost)} {Rigid} {Rings} and a {UFD} {Having} {Infinitely} {Generated} {Derksen} and {Makar-Limanov} {Invariants}},
journal = {Canadian mathematical bulletin},
pages = {77--86},
year = {2010},
volume = {53},
number = {1},
doi = {10.4153/CMB-2010-017-8},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2010-017-8/}
}
TY - JOUR AU - Finston, David AU - Maubach, Stefan TI - Constructing (Almost) Rigid Rings and a UFD Having Infinitely Generated Derksen and Makar-Limanov Invariants JO - Canadian mathematical bulletin PY - 2010 SP - 77 EP - 86 VL - 53 IS - 1 UR - http://geodesic.mathdoc.fr/articles/10.4153/CMB-2010-017-8/ DO - 10.4153/CMB-2010-017-8 ID - 10_4153_CMB_2010_017_8 ER -
%0 Journal Article %A Finston, David %A Maubach, Stefan %T Constructing (Almost) Rigid Rings and a UFD Having Infinitely Generated Derksen and Makar-Limanov Invariants %J Canadian mathematical bulletin %D 2010 %P 77-86 %V 53 %N 1 %U http://geodesic.mathdoc.fr/articles/10.4153/CMB-2010-017-8/ %R 10.4153/CMB-2010-017-8 %F 10_4153_CMB_2010_017_8
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