Categorical algebra

DOI10.1090/S0002-9904-1965-11234-4zbMath0161.01601OpenAlexW4241220941WikidataQ61979459 ScholiaQ61979459MaRDI QIDQ5545545

Saunders Mac Lane

Publication date: 1965

Published in: Bulletin of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9904-1965-11234-4

zbMATH Keywords

general algebraic structures

Related Items

Categories of semimodules: The categorical structural properties of transition systems, Unnamed Item, The odd origin of Gerstenhaber brackets, Batalin-Vilkovisky operators, and master equations, Axiomatizing Petri net concatenable processes, Quantum circuits of $ \newcommand{\cZ}{c-\mathtt{Z}} \cZ$ and $ \newcommand{\Swap}{\mathtt{SWAP}} \Swap$ gates: optimization and entanglement, String diagram rewrite theory II: Rewriting with symmetric monoidal structure, Unnamed Item, Moment categories and operads, On the cohomology of local groups, The Dual of the Flabby is the Bar, A practical type theory for symmetric monoidal categories, Invariant theory and wheeled PROPs, A programming language characterizing quantum polynomial time, Categories of graphs for operadic structures, $\infty$-operads as symmetric monoidal $\infty$-categories, Monoidal Width: Capturing Rank Width, String Diagrams for Layered Explanations, Unnamed Item, Unnamed Item, On rectification and enrichment of infinity properads, Associativity and the cosmash product in operadic varieties of algebras, On the wheeled PROP of stable cohomology of $\mathrm{Aut}(F_n)$ with bivariant coefficients, Monodromy of the Casimir connection of a symmetrisable Kac-Moody algebra, Unnamed Item, Unnamed Item, Unnamed Item, Unnamed Item, Towards compositional graph theory, Multilinear representations of free pros, Unnamed Item, Updating Probabilistic Knowledge on Condition/Event Nets using Bayesian Networks, Coherence in monoidal track categories, Reflective Functors in General Topology and Elsewhere, The Algebra of Directed Acyclic Graphs, REPRESENTING CONJUNCTIVE DEDUCTIONS BY DISJUNCTIVE DEDUCTIONS, Unnamed Item, Lawvere Categories as Composed PROPs, Simplicial localisation of homotopy algebras over a prop, Graph Complexes with Loops and Wheels, Purity in locally-presentable monoidal categories, A pseudo-analyzer approach to formal group laws not of operad type, Operads Revisited, Spheres as Frobenius objects, Props in Network Theory, FEYNMAN DIAGRAMS VIA GRAPHICAL CALCULUS, Unnamed Item, On the quotients of mapping class groups of surfaces by the Johnson subgroups, On the structure of open equivariant topological conformal field theories, The coalgebra enrichment of algebraic categories, Lambek's operational categories, Small subcategories and completeness, String diagram rewrite theory III: Confluence with and without Frobenius, Koszul duality for PROPs, Fuzzy terms, Enrichment over iterated monoidal categories, A simplicial foundation for differential and sector forms in tangent categories, The homotopy theory of simplicial props, Commutativity in double interchange semigroups, Free monoid in monoidal abelian categories, Interacting Hopf algebras, Enumerative combinatorics of prographs, On the invertibility of quantization functors, Operations on triple cohomology, Universal operations in Hochschild homology, A Normal Form for Stateful Connectors, The mathematical foundations of quantum mechanics, Coseparable Hopf algebras, Iterated monoidal categories, On new roles for categorical algebra, Varieties of chain-complete algebras, Cofibrant operads and universal $E_{\infty}$ operads., Hochschild homology of structured algebras, Contextual equivalence for signal flow graphs, On semiflexible, flexible and pie algebras, Koszul duality and the PBW theorem in symmetric tensor categories in positive characteristic, Two-dimensional regularity and exactness, Homotopy Batalin-Vilkovisky algebras, Pre-recursive categories, Confluence of Graph Rewriting with Interfaces, Classifying spaces of algebras over a prop, Lawvere theories, finitary monads and Cauchy-completion, Lift of fractional D-brane charge to equivariant Cohomotopy theory, Quantization of $\Gamma $-Lie bialgebras, Rough Objects in Monoidal Closed Categories, Uniqueness of Coxeter structures on Kac-Moody algebras, Lifting $D$-modules from positive to zero characteristic, An axiomatization of the algebra of Petri net concatenable processes, Graphical combinatorics and a distributive law for modular operads, A predicate/state transformer semantics for Bayesian learning, The algebra of partial equivalence relations, Three-dimensional Catalan numbers and product-coproduct prographs, The Kontsevich integral for bottom tangles in handlebodies, Colored operads, series on colored operads, and combinatorial generating systems, Coherence for modalities, Wheeled pro(p)file of Batalin-Vilkovisky formalism, Bicategorical homotopy fiber sequences, Characterizing Mal'cev conditions, Quantization of coboundary Lie bialgebras, Coalgebras over a commutative ring, Operads and PROPs, Quasi-commutative algebras, A 2-categorical extension of Etingof-Kazhdan quantisation, Termination orders for three-dimensional rewriting, Languages for monoidal categories, The calculus of signal flow diagrams. I: Linear relations on streams., Group extensions, fiber bundles, and a parametric Yang-Baxter equation, Circuit algebras are wheeled props, On the category of props, Moduli stacks of algebraic structures and deformation theory, Tensor products in categories, Spaces of continuous functions on compact sets, A generalization of the functorial calculus, The structure of first-order causality, Adjoint functors and derived functors with an application to the cohomology of semigroups, Categories with convergence, exponential functors, and the cohomology of compact abelian groups, On some properties of the free monoids with applications to automata theory, The tensor product of functors; satellites; and derived functors, Bialgebraic foundations for the operational semantics of string diagrams, Function systems, Morphismen von Funktoren, Topologische Kategorien. (Topological categories), Coherence of adjoints, associativities, and identities, Autonomous categories and duality of functors, Relative functor categories and categories of algebras, Hopf algebras over Hopf algebras, Stone duality for primal algebra theory, Lineare Faserräume und kohärente Modulgarben über komplexen Räumen, Induced Banach representations of Banach algebras and locally compact groups, Representable functors with values in arbitrary categories, The logic of inexact concepts, Das Tensorprodukt als universelles Problem, Satelliten; singuläre Erweiterungen und Derivationen, Cotangent cohomology of a category of deformations, Algebraic paths, Coxeter categories and quantum groups, On universal partly ordered sets and classes, Weak homotopy category of a category with a cotriple, Induced representations of locally compact groups, Partielle Algebren in Initialkategorien. (Partial algebras in initial categories), Applied functorial semantics. I, Convenient categories of topological algebras, and their duality theory, Some remarks on $C^*$-bigebras and duality, On MacLane's conditions for coherence of natural associativities, commutativities, etc, $\vartheta$-localizations and $\vartheta$-monads, Configuration spaces, moduli spaces and 3-fold covering spaces, On the construction of standard complexes, Corelations are the prop for extraspecial commutative Frobenius monoids, A cohomological construction of quantization functors of Lie bialgebras, Higher conjugations and the Yang-Baxter equation, The algebra of recursive graph transformation language UnCAL: complete axiomatisation and iteration categorical semantics, Evaluations of annular Khovanov-Rozansky homology, Adjoints to tensor for graded algebras and coalgebras

Cites Work