Order systems, ideals and right fixed maps of subtraction algebras
Commun. Korean Math. Soc. 2008 Vol. 23, No. 1, 1-10
Published online 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
MSC numbers : 03G25, 06B10, 06D99
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