Title
Combinatorial Route to Algebra: The Art of Composition & Decomposition
Abstract
We consider a general concept of composition and decomposition of objects, and discuss a few natural properties one may expect from a reasonable choice thereof. It will be demonstrated how this leads to multiplication and co- multiplication laws, thereby providing a generic scheme furnishing combinatorial classes with an algebraic structure. The paper is meant as a gentle introduction to the concepts of composition and decomposition with the emphasis on combinatorial origin of the ensuing algebraic constructions.
Year
Venue
Keywords
2010
Discrete Mathematics & Theoretical Computer Science
combinatorics,multiplication/co-multiplication,algebra,composition/decomposition of objects
Field
DocType
Volume
Combinatorics,Algebraic number,Algebra,Algebraic structure,Multiplication,Mathematics
Journal
12
Issue
ISSN
Citations 
2
Discrete Math. Theor. 12(2), 381-400 (2010)
0
PageRank 
References 
Authors
0.34
1
2
Name
Order
Citations
PageRank
Pawel Blasiak1103.67
H. Niewodnicza ´200.34