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Remark on the Unital Quantale Q[e]

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Abstract

In this paper, we investigate some properties of the unital quantale Q[e], in terms of the quantic quotients of Q[e] we study the extensions of quantic nuclei of Q to Q[e] and prove that for any non-trivial quantale \(\textbf{Q}\), Q[e] is not simple. Also, we give some applications for the unital quantale Q[e].

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Correspondence to Bin Zhao.

Additional information

The research was supported by the National Natural Science Foundation of China (Grant No.11001158, 10871121) and the Research Award for Young Teachers in Shaanxi Normal University, China.

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Han, S., Zhao, B. Remark on the Unital Quantale Q[e]. Appl Categor Struct 20, 239–250 (2012). https://doi.org/10.1007/s10485-010-9237-9

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  • DOI: https://doi.org/10.1007/s10485-010-9237-9

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