Browsing by Author "Eggert, Vanda"

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    Operads in the sense of Mac Lane
    (2017) Eggert, Vanda
    Operads 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.