Title
Algorithms for near-rings of non-linear transformations
Abstract
In this note we present some algorithms to deal with nearrings, the appropriate algebraic structure to study non-linear functions. This is similar the role of rings in the theory of linear functions or that of groups for permutations. In particular, we give efficient algorithms that deal with big nearrings that are given by a small set of generators. In this context, generating involves composition as well as point-wise addition. In the extreme case, one transformation of a group of order n can generate a set of up to nn transformations.
Year
DOI
Venue
2000
10.1145/345542.345568
ISSAC
Keywords
Field
DocType
order n,appropriate algebraic structure,linear function,non-linear transformation,small set,extreme case,big nearrings,efficient algorithm,point-wise addition,non-linear function,linear transformation
Discrete mathematics,Combinatorics,Nonlinear system,Algebra,Algebraic structure,Permutation,Algorithm,Linear function,Small set,Mathematics
Conference
ISBN
Citations 
PageRank 
1-58113-218-2
0
0.34
References 
Authors
0
5
Name
Order
Citations
PageRank
Franz Binder100.34
Erhard Aichinger222.92
Jürgen Ecker311.14
Christof Nöbauer400.34
Peter Mayr553.34