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Krall-Laguerre commutative algebras of ordinary differential operators
Krall-Laguerre commutative algebras ordinary differential operators Classical Analysis and ODEs
2011/9/15
Abstract: In 1999, Grunbaum, Haine and Horozov defined a large family of commutative algebras of ordinary differential operators which have orthogonal polynomials as eigenfunctions. These polynomials ...
Krall-Jacobi commutative algebras of partial differential operators
Krall-Jacobi commutative algebras partial differential operators
2010/11/18
We construct a large family of commutative algebras of partial differential operators invariant under rotations. These algebras are isomorphic extensions of the algebras of ordinary differential oper...
Pullbacks of Crossed Modules and Cat1- Commutative Algebras
Crossed modules Cat1-Algebra Pullback Commutative Algebra
2010/2/26
In this paper we first review the definitions of crossed module [10], pullback crossed module and cat1-object in the category of commutative algebras. We then describe a certain pullback of cat1- comm...
Cyclic homology of commutative algebras over general ground rings
Cyclic homology commutative algebras general ground rings
2010/11/1
We consider commutative algebras and chain DG algebras over a fixed commutative ground ring $k$ as in the title. We are concerned with the problem of computing the cyclic (and Hochschild) homology of...
Crossed N-cubes and n-crossed Complexes of Commutative Algebras
Crossed N-cubes Commutative Algebras n-crossed Complexes
2010/3/4
In this paper we will define crossed \Bbb N-cubes and n-crossed complexes of commutative algebras and construct a functor from the category of simplicial algebras to that of n-crossed complexes.
A Combinatorial Definition of n-Types of Simplicial Commutative Algebras
n-Types Simplicial Commutative Algebras
2010/3/4
In this paper, we will give a description of the functor from the category of crossed n-cubes to that of simplicial commutative algebras and study a commutative algebra version of Loday's theorem on n...
Dold-Kan Type Theorems for n-Types of Simplicitial Commutative Algebras
Dold-Kan Type Simplicitial Commutative Algebras n-Types
2010/3/4
A functor from simplicial algebras to crossed \( n \)-cubes is shown to be an embedding on a reflexive subcategory of the category of simplicial algebras that contains representatives for all \( n \) ...