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Finite-dimensional (*)-serial algebras

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Abstract

Let A be a finite-dimensional associative algebra with identity over a field k. In this paper we introduce the concept of (*)-serial algebras which is a generalization of serial algebras. We investigate the properties of (*)-serial algebras, and we obtain sufficient and necessary conditions for an associative algebra to be (*)-serial.

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Authors and Affiliations

  1. College of Applied Science, Beijing University of Technology, Beijing, 100124, China

    HaiLou Yao & WeiLi Fan

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  1. HaiLou Yao
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  2. WeiLi Fan
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Correspondence to HaiLou Yao.

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Yao, H., Fan, W. Finite-dimensional (*)-serial algebras. Sci. China Math. 53, 3049–3056 (2010). https://doi.org/10.1007/s11425-010-4066-8

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  • DOI: https://doi.org/10.1007/s11425-010-4066-8

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