Results 161 to 170 of about 41,540 (204)
Structured Dynamics in the Algorithmic Agent. [PDF]
Entropy (Basel)Ruffini G, Castaldo F, Vohryzek J.
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Dynamic Balance: A Thermodynamic Principle for the Emergence of the Golden Ratio in Open Non-Equilibrium Steady States. [PDF]
Entropy (Basel)Ruiz A.
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Constructing Number Field Isomorphisms from *-Isomorphisms of Certain Crossed Product C*-Algebras. [PDF]
Commun Math PhysBruce C, Takeishi T.
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Theta-gamma coupling: nonlinearity as a universal cross-frequency coupling mechanism. [PDF]
Front Behav NeurosciSheremet A, Qin Y.
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Re-awakening the brain: Forcing transitions in disorders of consciousness by external in silico perturbation. [PDF]
PLoS Comput BiolDagnino PC +8 more
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Journal of the London Mathematical Society, 1991
This paper deals with graded Hopf algebras of the kind represented by the homology of the loops on simply connected spaces of finite type or universal enveloping algebras of graded Lie algebras of finite type (i.e. degree-wise finite-dimensional). In particular, finitely generated nilpotent (elliptic) Hopf algebras are characterized in several ways: by
Félix, Yves +2 more
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This paper deals with graded Hopf algebras of the kind represented by the homology of the loops on simply connected spaces of finite type or universal enveloping algebras of graded Lie algebras of finite type (i.e. degree-wise finite-dimensional). In particular, finitely generated nilpotent (elliptic) Hopf algebras are characterized in several ways: by
Félix, Yves +2 more
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Hopf algebras over hopf algebras
Annali di Matematica Pura ed Applicata, 1967In any category with products and a terminal object one may define the notions of group, module over a group etc. if f: R′→R is a homomorphism of groups, and M an R-module, then one has an induced R′-module f*(M). If one is working in the category of sets, one may define a functor left adjoint to f* by N→R⊗R′ N, where N is an R′-module.
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Canadian Journal of Mathematics, 1967
A coalgebra over the field F is a vector space A over F, with maps δ: A → A ⊗ A and ∊: A → F such that1and2The notion of coalgebra is dual to the notion of algebra with unit, with δ as coproduct (equation (1) says that δ is associative) and ∊ as the unit map (equation (2) is just the statement that ∊ is a unit for the coproduct δ).
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A coalgebra over the field F is a vector space A over F, with maps δ: A → A ⊗ A and ∊: A → F such that1and2The notion of coalgebra is dual to the notion of algebra with unit, with δ as coproduct (equation (1) says that δ is associative) and ∊ as the unit map (equation (2) is just the statement that ∊ is a unit for the coproduct δ).
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(Hopf) Algebra Automorphisms of the Hopf Algebra
Communications in Algebra, 2013In this article, we completely determine the group of algebra automorphisms for the two-parameter Hopf algebra . As a result, the group of Hopf algebra automorphisms is determined for as well. We further characterize all the derivations of the subalgebra and calculate its first degree Hochschild cohomology group.
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