Bulletin of the Iranian Mathematical Society

Bulletin of the Iranian Mathematical Society

Polynomial evaluation groupoids and their groups

Document Type : Research Paper

Authors
1 Department of Mathematics‎, ‎Research Institute for Natural Sciences‎, ‎Hanyang University‎, ‎Seoul 04763‎, ‎Korea.
2 Department of Mathematics‎, ‎University of Alabama‎, ‎Tuscaloosa‎, ‎AL 35487-0350‎, ‎USA.
Abstract
In this paper, we show how certain metabelian groups can be found within polynomial evaluation groupoids. We show that every finite abelian group can be obtained as a polynomial evaluation groupoid.
Keywords
Subjects

P. J. Allen, H. S. Kim and J. Neggers, Smarandache algebras and their subgroups, Bull. Iranian Math. Soc. 38 (2012), no. 4, 1063--1077.
T. W. Hungerford, Algebra, Holt, Rinehart and Winston, Inc., New York-Montreal, Que.-London, 1974.
Volume 42, Issue 4 - Serial Number 4
August 2016
Pages 987-997

  • Receive Date 18 September 2013
  • Revise Date 09 June 2015
  • Accept Date 19 June 2015