A note on Multipliers of Subtraction Algebras

Year 2013, Volume: 42 Issue: 2, 165 - 171, 01.02.2013

Sang Deok Lee Kyung Ho Kim

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.

A note on Multipliers of Subtraction Algebras

Abstract

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Keywords

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References

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