Results 81 to 90 of about 6,340 (111)
International Journal of Geometric Methods in Modern Physics, 2005 Let A be an algebra over an operad in a cocomplete closed symmetric monoidal category. We study the category of A-modules. We define certain symmetric product functors of such modules generalizing the tensor product of modules over commutative algebras, which we use to define the notion of a jet module.
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Cylinders for non-symmetric DG-operads via homological perturbation theory
, 2015 We construct small cylinders for cellular non-symmetric DG-operads over an arbitrary commutative ring by using the basic perturbation lemma from homological algebra.
Muro, Fernando
core
The Combinatorics of Iterated Loop Spaces
, 2003 It is well known since Stasheff's work that 1-fold loop spaces can be described in terms of the existence of higher homotopies for associativity (coherence conditions) or equivalently as algebras of contractible non-symmetric operads.
Batanin, M. A.
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, 2019 We introduce $k$-signaletic operads and their Koszul duals, generalizing the dendriform, diassociative and duplicial operads (which correspond to the $k=1$ case). We show that the Koszul duals of the $k$-signaletic operads act on multipermutations and that the resulting algebras are free, thus providing combinatorial models for these operads.
Hivert, Florent, Pilaud, Vincent
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Category-colored operads, internal operads, and Markl -operads
Theory and Applications of Categories, 2023 openaire +1 more source
Pluriassociative algebras II: The polydendriform operad and related operads
Advances in Applied Mathematics, 2016 Dendriform algebras form a category of algebras recently introduced by Loday. A dendriform algebra is a vector space endowed with two nonassociative binary operations satisfying some relations. Any dendriform algebra is an algebra over the dendriform operad, the Koszul dual of the diassociative operad.
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Operads and Operadic Algebras in Homotopy Theory
, 2019 Expository article; book chapter. Final version (some minor corrections from previous version)
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Matriarch: A Python Library for Materials Architecture. [PDF]
ACS Biomater Sci Eng, 2015 Giesa T +3 more
europepmc +1 more source