A note on Multipliers of Subtraction Algebras

Authors : Sang Deok LEE, Kyung Ho KİM

Pages : 165-171

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Publication Date : 2013-02-01

Article Type : Other Papers

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