Arithmetical invariants—such as sets of lengths, catenary and tame degrees—describe the non-uniqueness of factorizations in atomic monoids.We study these arithmetical invariants by the monoid of relations and by presentations of the involved monoids. The abstract results will be applied to numerical monoids and to Krull monoids.
DOI : 10.5802/acirm.41
Mots clés : presentations for semigroups, catenary degree, tame degree, sets of lengths, numerical monoid, Krull monoid
@article{ACIRM_2010__2_2_95_0,
author = {Blanco, V{\'\i}ctor and Garc{\'\i}a-S\'anchez, Pedro A. and Geroldinger, Alfred},
title = {Semigroup-theoretical characterizations of arithmetical invariants with applications to numerical monoids and {Krull} monoids},
journal = {Actes des rencontres du CIRM},
pages = {95--98},
publisher = {CIRM},
volume = {2},
number = {2},
year = {2010},
doi = {10.5802/acirm.41},
zbl = {06938589},
language = {en},
url = {http://www.numdam.org/articles/10.5802/acirm.41/}
}
TY - JOUR AU - Blanco, Víctor AU - García-Sánchez, Pedro A. AU - Geroldinger, Alfred TI - Semigroup-theoretical characterizations of arithmetical invariants with applications to numerical monoids and Krull monoids JO - Actes des rencontres du CIRM PY - 2010 SP - 95 EP - 98 VL - 2 IS - 2 PB - CIRM UR - http://www.numdam.org/articles/10.5802/acirm.41/ DO - 10.5802/acirm.41 LA - en ID - ACIRM_2010__2_2_95_0 ER -
%0 Journal Article %A Blanco, Víctor %A García-Sánchez, Pedro A. %A Geroldinger, Alfred %T Semigroup-theoretical characterizations of arithmetical invariants with applications to numerical monoids and Krull monoids %J Actes des rencontres du CIRM %D 2010 %P 95-98 %V 2 %N 2 %I CIRM %U http://www.numdam.org/articles/10.5802/acirm.41/ %R 10.5802/acirm.41 %G en %F ACIRM_2010__2_2_95_0
Blanco, Víctor; García-Sánchez, Pedro A.; Geroldinger, Alfred. Semigroup-theoretical characterizations of arithmetical invariants with applications to numerical monoids and Krull monoids. Actes des rencontres du CIRM, Tome 2 (2010) no. 2, pp. 95-98. doi : 10.5802/acirm.41. http://www.numdam.org/articles/10.5802/acirm.41/
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