Geodesic
UNIVERSAL $q$-DIFFERENTIAL CALCULUS AND $q$-ANALOG OF HOMOLOGICAL ALGEBRA
Acta mathematica Universitatis Comenianae, Tome 65 (1996) no. 2 
M. DUBOIS-VIOLETTE\footnoteLaboratoire associe au Centre National de la Recherche Scientifique - URA D006.\hfill; R. KERNER\footnoteLaboratoire associe au Centre National de la Recherche Scientifique - URA D0769.\hfill. UNIVERSAL $q$-DIFFERENTIAL CALCULUS AND $q$-ANALOG OF HOMOLOGICAL ALGEBRA. Acta mathematica Universitatis Comenianae, Tome 65 (1996) no. 2. http://geodesic.mathdoc.fr/item/AMUC_1996_65_2_a2/
@article{AMUC_1996_65_2_a2,
     author = {M. DUBOIS-VIOLETTE\footnoteLaboratoire associe au Centre National de la Recherche Scientifique - URA D006.\hfill and R. KERNER\footnoteLaboratoire associe au Centre National de la Recherche Scientifique - URA D0769.\hfill},
     title = {UNIVERSAL $q${-DIFFERENTIAL} {CALCULUS} {AND} $q${-ANALOG} {OF} {HOMOLOGICAL} {ALGEBRA}},
     journal = {Acta mathematica Universitatis Comenianae},
     year = {1996},
     volume = {65},
     number = {2},
     url = {http://geodesic.mathdoc.fr/item/AMUC_1996_65_2_a2/}
}
TY  - JOUR
AU  - M. DUBOIS-VIOLETTE\footnoteLaboratoire associe au Centre National de la Recherche Scientifique - URA D006.\hfill
AU  - R. KERNER\footnoteLaboratoire associe au Centre National de la Recherche Scientifique - URA D0769.\hfill
TI  - UNIVERSAL $q$-DIFFERENTIAL CALCULUS AND $q$-ANALOG OF HOMOLOGICAL ALGEBRA
JO  - Acta mathematica Universitatis Comenianae
PY  - 1996
VL  - 65
IS  - 2
UR  - http://geodesic.mathdoc.fr/item/AMUC_1996_65_2_a2/
ID  - AMUC_1996_65_2_a2
ER  - 
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%A R. KERNER\footnoteLaboratoire associe au Centre National de la Recherche Scientifique - URA D0769.\hfill
%T UNIVERSAL $q$-DIFFERENTIAL CALCULUS AND $q$-ANALOG OF HOMOLOGICAL ALGEBRA
%J Acta mathematica Universitatis Comenianae
%D 1996
%V 65
%N 2
%U http://geodesic.mathdoc.fr/item/AMUC_1996_65_2_a2/
%F AMUC_1996_65_2_a2

Voir la notice de l'article provenant de la source Comenius University

We recall the definition of $q$-differential algebras and discuss some representative examples. In particular we construct the $q$-analog of the Hochschild coboundary. We then construct the universal $q$-differential envelope of a unital associative algebra and study its properties. The paper also contains general results on $d^N=0$.