Paper Info
Title
Differential (Monoid) Algebra and More
Abstract
On any set X may be defined the free algebra R < X > (respectively, free commutative algebra R[X]) with coefficients in a ring R. It may also be equivalently described as the algebra of the free monoid X* (respectively, free commutative monoid M(X)). Furthermore, the algebra of differential polynomials R{X} with variables in X may be constructed. The main objective of this contribution is to provide a functorial description of this kind of objects with their relations ( including abelianization and unitarization) in the category of differential algebras, and also to introduce new structures such as the differential algebra of a semigroup, of a monoid, or the universal differential envelope of an algebra.
Year
DOI
Venue
2012
10.1007/978-3-642-54479-8_8
Lecture Notes in Computer Science
Keywords
Field
DocType
Differential algebra,monoid algebra,free algebra,category theory
Combinatorics,Differential graded algebra,Algebra,Graded ring,Monoid,Filtered algebra,Free monoid,Cellular algebra,Free algebra,Mathematics,Symmetric algebra
Conference
Volume
ISSN
Citations 
8372
0302-9743
1
PageRank 
References 
Authors
0.48
3
1
Name
Order
Citations
PageRank
Laurent Poinsot1337.32