Results 1 to 10 of about 110,518 (119)

One functional operator inversion formula

Mathematical Modelling and Analysis, 2001
Some results about inversion formula of functional operator with generalized dilation are given. By means of commutative Banach algebra theory the explicit form of inversion operator is expressed. Some commutative Banach algebras with countable generator
P. Plaschinsky
doaj   +1 more source

Monogenic Functions in Commutative Algebras Associated with Classical Equations of Mathematical Physics [PDF]

Journal of Mathematical Sciences, 2019
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +2 more sources

The T-algebra spectral sequence: Comparisons and applications [PDF]

, 2014
In previous work with Niles Johnson the author constructed a spectral sequence for computing homotopy groups of spaces of maps between structured objects such as G-spaces and E_n-ring spectra.
Noel, Justin
core   +1 more source

Algebras of Quasi-Pl\"ucker Coordinates are Koszul [PDF]

, 2017
Motivated by the theory of quasi-determinants, we study non-commutative algebras of quasi-Pl\"ucker coordinates. We prove that these algebras provide new examples of non-homogeneous quadratic Koszul algebras by showing that their quadratic duals have ...
Laugwitz, Robert, Retakh, Vladimir
core   +3 more sources

Noncommutative motives of Azumaya algebras [PDF]

, 2013
Let k be a base commutative ring, R a commutative ring of coefficients, X a quasi-compact quasi-separated k-scheme, A a sheaf of Azumaya algebras over X of rank r, and Hmo(R) the category of noncommutative motives with R-coefficients.
Bergh, Michel Van den, Tabuada, Goncalo
core   +1 more source

Generalized shuffles related to Nijenhuis and TD-algebras

, 2008
Shuffle and quasi-shuffle products are well-known in the mathematics literature. They are intimately related to Loday's dendriform algebras, and were extensively used to give explicit constructions of free commutative Rota-Baxter algebras.
Aguiar M., Baxter G., Ebrahimi-Fard K., Ebrahimi-Fard K., Ebrahimi-Fard K., Klimyk A., Kosmann-Schwarzbach Y., Kurusch Ebrahimi-Fard, Leroux P., Loday J.-L., Philippe Leroux, Reutenauer C., Rota G.-C., Rota G.-C., Semenov-Tian-Shansky M. A., Sweedler M.   +15 more
core   +2 more sources

Free Rota-Baxter algebras and rooted trees

, 2008
A Rota-Baxter algebra, also known as a Baxter algebra, is an algebra with a linear operator satisfying a relation, called the Rota-Baxter relation, that generalizes the integration by parts formula.
Aguiar M., Aguiar M., Ebrahimi-Fard E., Ebrahimi-Fard K., Ebrahimi-Fard K., Ebrahimi-Fard K., Ebrahimi-Fard K., Ebrahimi-Fard K., Ebrahimi-Fard K., Guo L., Guo L., Guo L., Holtkamp R., KURUSCH EBRAHIMI-FARD, LI GUO, Loday J.-L., Pirashvili T., Rota G., Rota G.   +18 more
core   +2 more sources

Peak reduction technique in commutative algebra

, 1999
The "peak reduction" method is a powerful combinatorial technique with applications in many different areas of mathematics as well as theoretical computer science.
D Wright, H Nagao, IR Shafarevich, J Mckay, M Suzuki, M.G.Zaidenberg, M.G., Lin, V.Ya, PM Cohn, R Lyndon, SS Abhyankar, V Shpilrain, W Adams, W Dicks   +11 more
core   +2 more sources

Commuting Toeplitz Operators on Bounded Symmetric Domains and Multiplicity-Free Restrictions of Holomorphic Discrete Series

, 2014
For any given bounded symmetric domain, we prove the existence of commutative $C^*$-algebras generated by Toeplitz operators acting on any weighted Bergman space.
Dawson, Matthew, Quiroga-Barranco, Raúl, Ólafsson, Gestur   +2 more
core   +1 more source

Noncommutative Bell polynomials, quasideterminants and incidence Hopf algebras

, 2014
Bell polynomials appear in several combinatorial constructions throughout mathematics. Perhaps most naturally in the combinatorics of set partitions, but also when studying compositions of diffeomorphisms on vector spaces and manifolds, and in the study ...
Ebrahimi-Fard, Kurusch, Lundervold, Alexander, Manchon, Dominique   +2 more
core   +3 more sources