scholarly journals Legendrian Grid Number One Knots and Augmentations of Their Differential Algebras

2011 ◽  
pp. 143-168
Author(s):  
Joan E. Licata
Keyword(s):  
Differential Algebras

On A Multiplicativity up to Homotopy of the Gugenheim Map

2002 ◽  
Vol 9 (3) ◽  
pp. 549-566
Author(s):  
Z. Kharebava
Keyword(s):  
Cochain Complex ◽  
Differential Algebras ◽  
Graded Coalgebra

Abstract In the category of differential algebras with strong homotopy there is a Gugenheim's map {ρ 𝑖} : 𝐴* → 𝐶* from Sullivan's commutative cochain complex to the singular cochain complex of a space, which induces a differential graded coalgebra map of appropriate Bar constructions. Both (𝐵𝐴*, dBA , Δ,) and (𝐵𝐶*, dBC* , Δ,) carry multiplications. We show that the Gugenheim's map 𝐵{ρ 𝑖} : (𝐵𝐴*, dBA* , Δ,) → (𝐵𝐶*, dBC* , Δ,) is multiplicative up to homotopy with respect to these structures.

scholarly journals On integro-differential algebras

2014 ◽  
Vol 218 (3) ◽  
pp. 456-473 ◽  
Author(s):  
Li Guo ◽  
Georg Regensburger ◽  
Markus Rosenkranz
Keyword(s):  
Differential Algebras

scholarly journals Optimal embeddings of ultradistributions into differential algebras

2017 ◽  
Vol 186 (3) ◽  
pp. 407-438 ◽  
Author(s):  
Andreas Debrouwere ◽  
Hans Vernaeve ◽  
Jasson Vindas
Keyword(s):  
Differential Algebras

scholarly journals On the Hopf algebra of functional graphs and differential algebras

1998 ◽  
Vol 183 (1-3) ◽  
pp. 119-140 ◽  
Author(s):  
M. Ginocchio
Keyword(s):  
Hopf Algebra ◽  
Differential Algebras

THE THEORY OF FREE DIFFERENTIAL ALGEBRAS AND SOME APPLICATIONS

1991 ◽  
pp. 794-831
Author(s):  
Leonardo Castellani ◽  
Riccardo D’ Auria ◽  
Pietro Fré
Keyword(s):  
Differential Algebras

scholarly journals Hamiltonian operators in differential algebras

2017 ◽  
Vol 193 (3) ◽  
pp. 1725-1736 ◽  
Author(s):  
V. V. Zharinov
Keyword(s):  
Differential Algebras ◽  
Hamiltonian Operators
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