Abstract
Some results on A\( \mathcal{T} \) -algebras are given. We study the problem when ideals, quotients and hereditary subalgebras of A\( \mathcal{T} \) -algebras are A\( \mathcal{T} \) -algebras or A\( \mathcal{T} \) -algebras, and give a necessary and sufficient condition of a hereditary subalgebra of an A\( \mathcal{T} \) -algebra being an A\( \mathcal{T} \) -algebra.
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