Order systems, ideals and right fixed maps of subtraction algebras
Commun. Korean Math. Soc. 2008 Vol. 23, No. 1, 1-10 Printed March 1, 2008
Young Bae Jun, Chul Hwan Park, and Eun Hwan Roh Gyeongsang National University, University of Ulsan, and Chinju National University of Education
Abstract : Conditions for an ideal to be irreducible are provided. The notion of an order system in a subtraction algebra is introduced, and related properties are investigated. Relations between ideals and order systems are given. The concept of a fixed map in a subtraction algebra is discussed, and related properties are investigated.
Keywords : (weak, complicated) subtraction algebra, (irreducible) ideal, order system, right fixed map, kernel