Results 31 to 40 of about 4,385,745 (186)

Categorial compositionality: a category theory explanation for the systematicity of human cognition. [PDF]

open access: yesPLoS Computational Biology, 2010
Classical and Connectionist theories of cognitive architecture seek to explain systematicity (i.e., the property of human cognition whereby cognitive capacity comes in groups of related behaviours) as a consequence of syntactically and functionally ...
Steven Phillips, William H Wilson
doaj   +1 more source

The left adjoint of derived parabolic induction [PDF]

open access: yesMathematische Zeitschrift, 2022
We prove that the derived parabolic induction functor, defined on the unbounded derived category of smooth mod p representations of a p -adic reductive group, admits a left adjoint $$\textrm{L}(U,-)$$ L ( U , - ) .
Claudius Heyer
semanticscholar   +1 more source

The Derived Pure Spinor Formalism as an Equivalence of Categories [PDF]

open access: yesSymmetry, Integrability and Geometry: Methods and Applications, 2022
We construct a derived generalization of the pure spinor superfield formalism and prove that it exhibits an equivalence of dg-categories between multiplets for a supertranslation algebra and equivariant modules over its Chevalley-Eilenberg cochains. This
C. Elliott, F. Hahner, Ingmar Saberi
semanticscholar   +1 more source

The derived functors of unramified cohomology [PDF]

open access: yesSelecta Mathematica, 2017
minor ...
Kahn, Bruno, Sujatha, R.
openaire   +3 more sources

The Nakayama functor and its completion for Gorenstein algebras [PDF]

open access: yesBulletin de la Société Mathématique de France, 2020
Duality properties are studied for a Gorenstein algebra that is finite and projective over its center. Using the homotopy category of injective modules, it is proved that there is a local duality theorem for the subcategory of acyclic complexes of such ...
S. Iyengar, H. Krause
semanticscholar   +1 more source

On derived functors of limit [PDF]

open access: yesTransactions of the American Mathematical Society, 1973
If A \mathcal {A} is a cocomplete category with enough projectives and C {\mathbf {C}} is a ↓ \downarrow -finite small category, then there is a spectral sequence which shows that the cardinality of C {\mathbf {C ...
openaire   +2 more sources

Homotopy theory of Moore flows (II)

open access: yesExtracta Mathematicae, 2021
This paper proves that the q-model structures of Moore flows and of multipointed d-spaces are Quillen equivalent. The main step is the proof that the counit and unit maps of the Quillen adjunction are isomorphisms on the q-cofibrant objects (all objects ...
Philippe Gaucher
doaj  

On the Derived Functors of the Third Symmetric-Power Functor

open access: yesTbilisi Mathematical Journal, 2009
We compute the derived functors of the third symmetric-power functor and their cross-effects for certain values. These calculations match predictions by the first named author and largely prove them in general.
Koeck, Bernhard, Satkurunath, Ramesh
openaire   +4 more sources

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