The well-known expansion of rational integers in an arbitrary integer base different from is exploited to study relations between numerical monoids and certain subsemigroups of the multiplicative semigroup of nonzero integers.
Accepté le :
DOI : 10.1051/ita/2016005
Mots clés : Numerical monoid, digital representation, digital semigroup, Frobenius number
@article{ITA_2016__50_1_67_0, author = {Brunotte, Horst}, title = {Digital semigroups}, journal = {RAIRO - Theoretical Informatics and Applications - Informatique Th\'eorique et Applications}, pages = {67--79}, publisher = {EDP-Sciences}, volume = {50}, number = {1}, year = {2016}, doi = {10.1051/ita/2016005}, zbl = {1391.11124}, mrnumber = {3518159}, language = {en}, url = {http://www.numdam.org/articles/10.1051/ita/2016005/} }
TY - JOUR AU - Brunotte, Horst TI - Digital semigroups JO - RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications PY - 2016 SP - 67 EP - 79 VL - 50 IS - 1 PB - EDP-Sciences UR - http://www.numdam.org/articles/10.1051/ita/2016005/ DO - 10.1051/ita/2016005 LA - en ID - ITA_2016__50_1_67_0 ER -
%0 Journal Article %A Brunotte, Horst %T Digital semigroups %J RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications %D 2016 %P 67-79 %V 50 %N 1 %I EDP-Sciences %U http://www.numdam.org/articles/10.1051/ita/2016005/ %R 10.1051/ita/2016005 %G en %F ITA_2016__50_1_67_0
Brunotte, Horst. Digital semigroups. RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications, Tome 50 (2016) no. 1, pp. 67-79. doi : 10.1051/ita/2016005. http://www.numdam.org/articles/10.1051/ita/2016005/
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