ON MEDIAL Q-ALGEBRAS

Title & Authors
ON MEDIAL Q-ALGEBRAS
Ahn, Sun-Shin; So, Keum-Sook;

Abstract
In this paper, we show that the mapping $\small{{\varphi}(x)\;=\;0*x}$ is an endomorphism of a Q-algebra X, which induces a congruence relation "~" such that X/$\small{\varphi}$ is a medial Q-algebra. We also study some decompositions of ideals in Q-algebras and obtain equivalent conditions for closed ideals. Moreover, we show that if I is an ideal of a Q-algebra X, then $\small{I^g}$ is an ignorable ideal of X.
Keywords
Q-algebra;medial Q-algebra;
Language
English
Cited by
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