- Hacettepe Journal of Mathematics and Statistics
- Vol: 42 Issue: 2
- A note on Multipliers of Subtraction Algebras
A note on Multipliers of Subtraction Algebras
Authors : Sang Deok Lee, Kyung Ho Kim
Pages : 165-171
View : 13 | Download : 6
Publication Date : 2013-02-01
Article Type : Other
Abstract :In this paper, we introduce the concept of normal ideal of a subtractionalgebra and study properties in connection with multiplies of subtraction algebras. The image and inverse image of a normal ideal of a subtraction algebra are proved to be again normal ideals. Also, we characterize the normal ideals of direct products of subtraction algebras.Finally, the concept of a weak congruence is introduced in subtractionalgebras and obtain an interconnection between multipliers and weakcongruences.Keywords : Subtraction algebra, multiplier, normal ideal, non-expansive, Kerf.