Construction and analysis of near-rings

  • Peter Mayr (Speaker)

Activity: Talk or presentation › Contributed talk › unknown

Description

First we present algorithms for the construction and analysis of near-rings of functions on finite groups. In particular we show how to construct a transformation near-ring from a given set of generating functions and how to solve the membership problem for such a near-ring. Secondly we give a construction of BIB-designs from planar near-rings. Implementations of the described algorithms are part of the GAP-package Sonata that has been developed at the University of Linz, Austria. Sonata is part of SAGE since 2006. We will demonstrate various examples by using a combination of these computer algebra systems.
Period05 Feb 2006
Event titleSAGE DAYS 2006
Event typeConference
LocationUnited StatesShow on map

Fields of science

  • 101013 Mathematical logic
  • 101001 Algebra
  • 101 Mathematics
  • 102031 Theoretical computer science
  • 101005 Computer algebra

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