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On ideals and quotients of A \( \mathcal{T} \) -algebras

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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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  1. School of Mathematical Sciences, Ocean University of China, Qingdao, 266071, People’s Republic of China

    Changguo Wei

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  1. Changguo Wei
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Wei, C. On ideals and quotients of A \( \mathcal{T} \) -algebras. Proc Math Sci 118, 517–524 (2008). https://doi.org/10.1007/s12044-008-0039-z

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  • DOI: https://doi.org/10.1007/s12044-008-0039-z

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