Commun. Korean Math. Soc. 2007 Vol. 22, No. 1, 1-7 Printed March 1, 2007
Young Bae Jun, Young Hee Kim, Kyong Ah Oh Gyeongsang National University, Chungbuk National University, Chungbuk National University
Abstract : Subtraction algebras with additional conditions, so called complicated subtraction algebras, are introduced, and several properties are investigated. In a complicated subtraction algebra, characterizations of ideals are provided, and showed that the set of all ideals in a complicated subtraction algebra is a complete lattice.