Results 151 to 160 of about 297 (183)
Quantum-like behavior without quantum physics II. A quantum-like model of neural network dynamics. [PDF]
J Biol Phys, 2018 Selesnick SA, Piccinini G.
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Cosmetic operations and Khovanov multicurves. [PDF]
Math AnnKotelskiy A +4 more
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Natural language syntax complies with the free-energy principle. [PDF]
SyntheseMurphy E, Holmes E, Friston K.
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Reduction operators of Burgers equation.
J Math Anal Appl, 2013 Pocheketa OA, Popovych RO.
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Proceedings of the London Mathematical Society, 2001 50 pages, LaTeX ...
Stefaan Vaes, Alfons Van Daele
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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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(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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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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