$k$-theory 16t0516t1016s4016t3017b3517b3718d1018c1519a22 16w3016t0517b3718d1019d2320g42 algebraictopology algebrasforatriple associativeringsandalgebras bialgebras braidedcategories burnsideandrepresentationrings categoriesandtheories categorieswithstructure categorytheory;homologicalalgebra congresses connectionswithcombinatorics frobeniusinduction grothendieckgroupsand$k_0$ grouptheoryandgeneralizations higheralgebraic$k$-theory homologyandderivedfunctorsfortriples hopfalgebras hopfalgebrasandtheirapplications liealgebrasandliesuperalgebras linearalgebraicgroupsandrelatedtopics monadortriad) monoidalcategories(=multiplicativecategories) nonassociativeringsandalgebras quantumgroups(quantizedenvelopingalgebras)andrelateddeformations quantumgroups(quantizedfunctionalgebras)andtheirrepresentations quantumgroupsandrelatedtopics ringsandalgebrasarisingundervariousconstructions smashproductsofgeneralhopfactions tensorfields triples(=standardconstruction universalenveloping(super)algebras