Eggert, Vanda2023-06-282023-06-2820171851542639http://nbn-resolving.de/urn:nbn:de:bsz:93-opus-ds-132707http://elib.uni-stuttgart.de/handle/11682/13270http://dx.doi.org/10.18419/opus-13251Operads determine algebra structures. We develop versions of the theory of operads that closely resemble the PROPs as defined by S. Mac Lane. Over sets, we construct the operads ASS_0 and COM_0, which determine monoids and commutative monoids, respectively. Over R-modules, we construct the operads ASS, COM, LIE, BIALG, which determine associative algebras, commutative algebras, Lie algebras and Bialgebras, respectively.eninfo:eu-repo/semantics/openAccess510masterThesis